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README.html
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<!DOCTYPE html><html><head>
<title>README</title>
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<div class="mume markdown-preview ">
<h1 class="mume-header" id="jpsi-production-in-jets"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> Production in Jets</h1>
<blockquote>
<p>From IDEA to PAPER.</p>
</blockquote>
<p>Repository for references, analysis codes, useful scripts and related discussions.</p>
<p>Software: <a href="https://github.com/alisw/AliPhysics">AliPhysics</a>@ROOT6</p>
<p>Main environment: AliEn World-wide Computing Grid</p>
<p>Local: <a href="http://R710.star.ustc.edu.cn">R710.star.ustc.edu.cn</a> <code>(Dual-E5520 + 16* Dual-E5504)</code></p>
<p>Development and post-processing are performed on local environment <code>(vAN-20190328_ROOT6)</code>. But for alien, all jobs would run on latest version after debug.</p>
<p><strong>For better display of this document, please install browser extension <code>MathJax Plugin for Github</code> (<a href="https://chrome.google.com/webstore/detail/mathjax-plugin-for-github/ioemnmodlmafdkllaclgeombjnmnbima">Chrome</a>) or try this <a href="https://ustc.fun/doc/README.html">external page</a> (temp and not latest). The best solution is to open preview in <code>VS Code</code> with <a href="https://shd101wyy.github.io/markdown-preview-enhanced/">Markdown Preview Enhanced</a>.</strong></p>
<p>Author: <a href="mailto:[email protected]">Yìtāo WÚ</a></p>
<h2 class="mume-header" id="contents">Contents</h2>
<ul>
<li><a href="#resource">Resource</a></li>
<li><a href="#background--motivation">Background & Motivation</a>
<ul>
<li><a href="#reference">Reference</a></li>
</ul>
</li>
<li><a href="#physical-object">Physical Object</a>
<ul>
<li><a href="#related-analysis--alice">Related analysis @ ALICE</a></li>
</ul>
</li>
<li><a href="#datasets">Datasets</a>
<ul>
<li><a href="#luminosity-and-event-normalization">Luminosity and event normalization</a></li>
</ul>
</li>
<li><a href="#qa">QA</a>
<ul>
<li><a href="#run-wise">Run-wise</a></li>
<li><a href="#event">Event</a></li>
<li><a href="#track--tpc-its">Track & TPC-ITS</a></li>
<li><a href="#calo-cluster--emcaldcalphos">Calo Cluster / EMCAL+DCAL+PHOS</a></li>
<li><a href="#pid">PID</a></li>
<li><a href="#dielectron">Dielectron</a></li>
<li><a href="#jets">Jets</a></li>
</ul>
</li>
<li><a href="#signal-extraction">Signal Extraction</a>
<ul>
<li><a href="#event-selection">Event selection</a></li>
<li><a href="#pid-for-electron">PID for electron</a></li>
<li><a href="#j%5Cpsi-reconstruction"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> reconstruction</a></li>
<li><a href="#jet-finder">Jet finder</a></li>
<li><a href="#nano-aods">Nano AODs</a></li>
</ul>
</li>
<li><a href="#correction">Correction</a>
<ul>
<li><a href="#tpc-post-calibration">TPC post-calibration</a></li>
<li><a href="#emcal-correction-and-embedding-framework">EMCal correction and embedding framework</a></li>
<li><a href="#j%5Cpsi-acceptance-and-efficiency"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> acceptance and efficiency</a></li>
<li><a href="#unfolding-of-jet-p_t-resolution">Unfolding of jet <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>p</mi><mi>T</mi></msub></mrow><annotation encoding="application/x-tex">p_{T}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="mord"><span class="mord mathdefault">p</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.13889em;">T</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> resolution</a></li>
</ul>
</li>
<li><a href="#systematic-uncertainties">Systematic uncertainties</a></li>
<li><a href="#preliminary-result">Preliminary Result</a></li>
<li><a href="#publication">Publication</a></li>
<li><a href="#appendix-tasks-and-scripts">Appendix - Macros & Scripts</a></li>
</ul>
<h2 class="mume-header" id="resource">Resource</h2>
<p>Software: <a href="https://github.com/alisw">AliSW@GitHub</a> | <a href="http://gitlab.cern.ch/">GitLab</a> | <a href="http://alidoc.cern.ch/">AliDoc</a> | Offline Database (<a href="https://indico.cern.ch/event/128634/contributions/112886/attachments/86273/123628/11-03-09-OW-OADB.pdf" title="Offline Analysis Database - /eos/experiment/alice/analysis-data/OADB/">OADB</a>, <a href="http://alice-offline.web.cern.ch/Activities/ConditionDB.html" title="Offline Constant Database - alien:///alice/data/[year]/OCDB/[Detector]/*/Data/Run*.root">OCDB</a>) | <a href="https://root.cern/">ROOT</a> | <a href="https://hepforge.org/">HEPforge</a> |</p>
<p>Documents: <a href="https://twiki.cern.ch/twiki/bin/viewauth/ALICE">Twiki</a> | <a href="https://alice-notes.web.cern.ch">Public & Analysis Note</a> | <a href="http://alice-offline.web.cern.ch/">ALICE Offline</a> | <a href="http://alice.cern.ch/">ALICE Official</a> |</p>
<ul>
<li>
<p>DPG: <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/AliceDPG" title="Data Preparation Group">Twiki</a> | <a href="https://indico.cern.ch/category/7871/" title="General, AOT, MC, QA, Calibration & Tracking">Indico</a> | <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/AliDPGRunLists" title="Lists of good runs for Run2 periods">RunLists</a> | <a href="https://twiki.cern.ch/twiki/bin/viewauth/ALICE/EventNormalization" title="V0AND value for luminosity">EventNorm</a> | <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/AliDPGtoolsPileup" title="Pileup tools and methods">Pileup</a> |</p>
</li>
<li>
<p>PID: <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/PWGPPParticleIdentification" title="PWGPP-PID">Twiki</a> | <a href="https://twiki.cern.ch/twiki/bin/viewauth/ALICE/PIDInAnalysis" title="Analysis with PID response">PIDinAnalysis</a> | <a href="http://arxiv.org/abs/1402.4476" title="Section 7-9">Performance</a> | Bayesian(<a href="https://indico.cern.ch/event/476033/" title="A Bayesian approach to particle identification in ALICE">Indico</a>, <a href="http://arxiv.org/abs/1602.01392">arXiv</a>) | <a href="https://twiki.cern.ch/twiki/bin/viewauth/ALICE/TenderAndAnalysis" title="Correct imperfections on analysis level">Tender</a> |</p>
</li>
<li>
<p>EMCal & Jet: <a href="https://indico.cern.ch/event/555035/contributions/2239719/attachments/1310149/1959997/EMCALframework.pdf" title="July 2016">Intro.</a> | <a href="http://alidoc.cern.ch/AliPhysics/master/READMEemcfw.html" title="Based on Doxygen">Doc.</a> | <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/EMCalTriggerOffline">Trigger</a> | <a href="https://indico.cern.ch/event/586577/contributions/2363131/attachments/1370126/2177061/EMCalCorrectionFramework_AnalysisTutorial_updated.pdf" title="Nov. 2016">Correction</a> | <a href="https://indico.cern.ch/event/586577/contributions/2363130/attachments/1370183/2296645/rehlers.embedding.analysis.tutorial.nov.2016.v3.pdf" title="Nov. 2016">Embedding</a> |</p>
</li>
</ul>
<p>Service: <a href="http://alien.web.cern.ch/">AliEn</a> | <a href="http://alimonitor.cern.ch">AliMonitor</a> | <a href="https://glance.cern.ch/alice/membership/" title="ALICE Member - Insititute, People & Service">Glance</a> | <a href="https://alice.its.cern.ch/" title="Issue Tracking System">JIRA</a> | <a href="http://information-technology.web.cern.ch/services/fe/vidyo" title="Client login URL: https://vidyoportal.cern.ch">Vidyo</a> | <a href="https://account.cern.ch/account/">CERN Account</a> | <a href="https://resources.web.cern.ch/resources/Manage/ListServices.aspx" title="Resource Portal - list all available services">CERN Service</a> | <a href="https://ca.cern.ch/ca/" title="CERN Certificate Authority - Grid, EduRoam, Code signing">CA</a> | <a href="https://mmmservices.web.cern.ch/mmmservices/">CERN Mail</a> | <a href="https://e-groups.cern.ch/" title="CERN mail lists">e-groups</a> | <a href="https://cernbox.cern.ch" title="The cloud storage solution from CERN">CERNBox</a> | <a href="http://swan.cern.ch/" title="Provide virtual environment by cloud storage service - CERNBox">SWAN</a> |</p>
<p>Tutorial:</p>
<ul>
<li>ALICE-analysis-tutorial: <a href="https://alice-analysis.web.cern.ch/content/tutorials">Website</a> | <a href="https://indico.cern.ch/category/5819/" title="Some events under category of ALICE Week">Indico</a> | <a href="https://alice-doc.github.io/alice-analysis-tutorial/">Intro.</a> | <a href="https://indico.cern.ch/event/752367/contributions/3116617/attachments/1704565/2858687/DPG_AnalysisTutorial_20181129.pdf" title="Starterkit - Nov. 2018">DataFlow</a> | <a href="https://indico.cern.ch/event/327364/contributions/1713450/attachments/635959/875472/juniorsDay-2.pdf" title="July 2014">LEGO train</a> | <a href="https://indico.cern.ch/event/652886/contributions/2658039/attachments/1500603/2336871/nanoAODs.pdf" title="July 2017">NanoAOD</a> | <a href="https://indico.cern.ch/event/327364/contributions/1713452/attachments/635962/875477/2014-07-04-kryshen-tutorial.pdf" title="July 2014">EventInfo</a> | <a href="https://indico.cern.ch/event/586577/contributions/2363129/attachments/1370104/2077614/flowvectors.pdf" title="Nov. 2016">Q-vector</a> | <a href="https://indico.cern.ch/event/327364/contributions/1713452/attachments/635962/875475/TrackSelectionTutorial.pdf" title="July 2014">TrackInfo</a> | <a href="https://indico.cern.ch/event/555035/contributions/2236078/attachments/1307393/1959973/ParticleID_in_ALICE_15072016.pdf" title="July 2016">PID</a> | <a href="https://indico.cern.ch/event/327364/contributions/1713456/attachments/635966/875483/flow_package_na.pdf" title="July 2014">Flow</a> | <a href="https://indico.cern.ch/event/652886/contributions/2666025/attachments/1500563/2337020/eventmixing_aohlson.pdf" title="July 2017">EventMixing</a> | <a href="https://indico.cern.ch/event/463952/contributions/1981524/attachments/1206439/1758559/unfolding.pdf" title="Dec. 2015">Unfolding</a> | <a href="https://indico.cern.ch/event/652886/contributions/2666026/attachments/1500620/2336893/20170726_stat_syst_unc.pdf" title="July 2017">Errors</a> | <a href="jklein.web.cern.ch/jklein/mc/" title="Dec. 2015">MC</a>, <a href="https://indico.cern.ch/event/327364/contributions/1713449/attachments/635957/875470/GeneratorsTutorials.pdf" title="July 2014">Generator</a> | <a href="https://indico.cern.ch/event/555035/contributions/2236077/attachments/1307618/1959552/intro_rivet.pdf" title="MC tool - July 2016">RIVET</a> | <a href="https://github.com/cbourjau/nittygriddy" title="ALICE+LHCb - Nov. 2017">AnaControl</a> | <a href="https://indico.cern.ch/event/327364/contributions/1713455/attachments/635965/875481/main.pdf" title="July 2014">PlotStyle</a> | <a href="https://indico.cern.ch/event/743750/contributions/3072931/attachments/1690231/2719440/MultiDimensionalVisualization_O2meeting22052018.pdf" title="July 2018">Visual</a> | <a href="https://indico.cern.ch/event/743750/contributions/3072931/attachments/1690231/2719650/QAtools_Tutorial.pdf" title="July 2018">QAtools</a> | <a href="https://indico.cern.ch/event/616865/" title="Git tips & GitHub usage - Mar. 2017">Git</a> | <a href="https://indico.cern.ch/event/713442/contributions/2931242/attachments/1619989/2581360/The_new_ALICE_documentation_pages.pdf" title="With GitHub page - Mar. 2018">alice-docs</a> | <a href="https://indico.cern.ch/event/586577/contributions/2363128/attachments/1370076/2077505/documentYourCode.pdf" title="Documents for AliRoot & AliPhysics - Nov. 2016">Doxygen</a> | <a href="https://indico.cern.ch/event/713442/contributions/2931240/attachments/1622111/2581475/2018-03-23_ML_tutorial.pdf" title="With SWAN - Mar. 2018">ML</a> |</li>
<li>ROOT & C++:<br>
<a href="https://root.cern/guides/primer">Primer</a> | <a href="https://root.cern/courses">Courses</a> | <a href="https://root.cern.ch/doc/master/group__Tutorials.html" title="Tutorials inside ROOT">Example</a> | <a href="https://pep-root6.github.io/docs/" title="C++11 features, Parallellism, Vectorization, Declarative analysis, Python & debug">PEP-ROOT6</a> | <a href="https://alice-doc.github.io/alice-analysis-tutorial/analysis/ROOT5-to-6.html" title="Inside gitbook of Intro. - Mar. 2018">ROOT5to6</a> | <a href="https://indico.cern.ch/event/652886/" title="July 2017">Python</a> | <a href="https://indico.cern.ch/event/752367/contributions/3116613/attachments/1704567/2861784/ModernCPP.pdf" title="Starterkit - Nov. 2018">ModernC++</a> | <a href="https://indico.cern.ch/event/666222/contributions/2722821/attachments/1552323/2439274/Pointers_SAiola.pdf" title="ALICE+LHCb - Nov. 2017">Pointers</a> | <a href="https://indico.cern.ch/event/463952/contributions/1981522/attachments/1206438/1758208/alice15-tools-lecture.pdf" title="Dec. 2016">Profiling</a> |</li>
<li>Others:<br>
<a href="http://alisw.github.io/">AliSW tutorial</a> | <a href="http://alisw.github.io/alibuild/">AliBuild</a> | <a href="https://friederikebock.gitbooks.io/pcgtutorial/" title="Photon Conversion Group - Basic, LEGO, QA, Calibration, Cocktail, Neutral meson and direct photon.">PCG</a> | <a href="https://dberzano.github.io/alice/debug/">Debug@ALICE</a> | <a href="https://indico.cern.ch/event/752367" title="ALICE + LHCb + SHiP - bash, python, git, alisw, ROOT & debug">Starterkit2018</a> |</li>
<li>School & Course:<br>
<a href="https://agenda.infn.it/event/16941/" title="https://agenda.infn.it/conferenceOtherViews.py?view=standard&confId=16941">INFN-ESC</a> | <a href="https://indico.ihep.ac.cn/event/7841/" title="The 7th Huada School on QCD - Jet">Huada-QCD</a> | <a href="http://geant4.web.cern.ch/past-events" title="Geant4 workshop, course and meeting">Geant4-events</a> | <a href="https://theory.gsi.de/stud-pro/" title="HGS-HIRe International Summer Student Program at GSI, for Europe or GSI/FAIR partner countries">GSI-Summer</a> | <a href="https://cn.ambafrance.org/-Les-Ecoles-d-ete-France-Excellence-" title="The France Excellence Summer Schools Program - Physics of the two infinities">France-China</a> | <a href="https://careers.cern/summer" title="Summer Student Programme & Openlab summer Student Programme">CERN-Summer</a> | <a href="https://indico.cern.ch/event/795313/overview" title="Joint CERN-Fermilab Hadron Collider Physics Summer School - at young postdocs and senior PhD students">CERN-Fermi</a> | <a href="http://www.esi-archamps.eu/Thematic-Schools/Discover-ESIPAP" title="European School of Instrumentation in Particle & Astroparticle Physics">Euro-Inst.</a> | <a href="https://indico.cern.ch/event/739424/" title="ISOTDAQ 2019 - International School of Trigger and Data AcQuisition">Trigger-DAQ</a> |</li>
</ul>
<p>Conference & Meeting: <a href="http://alice-conferences.web.cern.ch/">ALICE Conference</a> |</p>
<ul>
<li>Indico@CERN: <a href="https://indico.cern.ch/category/6871/">ALICE Week</a> | <a href="https://indico.cern.ch/category/302/">PWG</a> | <a href="https://indico.cern.ch/category/874/">EMCal</a> | <a href="https://indico.cern.ch/category/6759/">ITS</a> | <a href="https://indico.cern.ch/category/14/">TPC</a> |</li>
<li>Other Indico: <a href="https://indico.ihep.ac.cn/category/208/">Indico@IHEP</a> | <a href="http://pnp.ustc.edu.cn/indico">Indico@USTC-PNP</a> | <a href="https://indico.in2p3.fr/category/100/">Indico@IN2P3</a> |</li>
<li>Quark Matter: <a href="http://qm2019.ccnu.edu.cn/">QM2019</a> | <a href="http://qm2018.infn.it/">QM2018</a> | <a href="http://qm2017.phy.uic.edu/">QM2017</a> | <a href="http://qm2015.riken.jp/">QM2015</a> | <a href="https://indico.cern.ch/event/219436/">QM2014</a> | <a href="https://indico.cern.ch/event/181055/">QM2012</a> |</li>
<li>Hard Probe: <a href="https://indico.cern.ch/event/634426/">HP2018</a> | <a href="http://hp2016.ccnu.edu.cn/">HP2016</a> | <a href="http://www.physics.mcgill.ca/hp2015/">HP2015</a> |</li>
<li>Strangeness Quark Matter: <a href="https://sqm2019.ba.infn.it/">SQM2019</a> | <a href="https://indico.cern.ch/event/576735/">SQM2017</a> |</li>
<li>LHC Physics: <a href="http://lhcp2019.buap.mx/">LHCP2019</a> | <a href="http://lhcp2018.bo.infn.it/">LHCP2018</a> | <a href="http://lhcp2017.physics.sjtu.edu.cn/">LHCP2017</a> | <a href="http://lhcp2016.hep.lu.se/">LHCP2016</a> | <a href="http://hepd.pnpi.spb.ru/lhcp2015/index.php/">LHCP2015</a> | <a href="https://indico.cern.ch/event/279518/">LHCP2014</a> | <a href="https://indico.cern.ch/event/210555/">LHCP2013</a> |</li>
<li>Others: <a href="https://vci.hephy.at/home/" title="Vienna Conference on Instrumentation">VCI</a></li>
</ul>
<p>Publication: <a href="http://inspirehep.net">InspierHEP</a> | <a href="http://cds.cern.ch/">CERN Document Server</a> | <a href="https://www.hepdata.net/">HEPData</a> | <a href="http://scholar.google.com">Google Scholar</a> | <a href="https://academic.microsoft.com/">Microsoft Academic</a> | <a href="https://www.scimagojr.com/journalrank.php?category=3106">SCImago Journal Rank</a> |</p>
<h2 class="mume-header" id="background-motivation">Background & Motivation</h2>
<p>To understood the <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> production mechanism, and explain the lack of observed polarization in high <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>p</mi><mi>T</mi></msub></mrow><annotation encoding="application/x-tex">p_{T}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="mord"><span class="mord mathdefault">p</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.13889em;">T</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> range. Previous results from LHCb and CMS are disagree with NRQCD predictions implemented by Pythia8.</p>
<p><img src="Media/Result_LHCb.png" alt="Result_LHCb"><br>
<img src="Media/Result_CMS.png" alt="Result_CMS"></p>
<h3 class="mume-header" id="reference">Reference</h3>
<ol>
<li>Baumgart, Matthew, et al. "Probing quarkonium production mechanisms with jet substructure." JHEP 1411 (2014) 003 [<a href="http://inspirehep.net/record/1299682">INSPIRE</a>]</li>
<li>LHCb Collaboration, "Study of <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> Production in Jets", Phys.Rev.Lett. 118 (2017) no.19, 192001 [<a href="http://inspirehep.net/record/1509507">INSPIRE</a>]</li>
<li>Kang, Zhong-Bo, et al. "<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> production and polarization within a jet." Phys.Rev.Lett. 119 (2017) no.3, 032001. [<a href="http://inspirehep.net/record/1512930/">INSPIRE</a>]</li>
<li>Bain, Reggie, et al. "NRQCD Confronts LHCb Data on Quarkonium Production within Jets." Phys.Rev.Lett. 119 (2017) no.3, 032002. [<a href="http://inspirehep.net/record/1514263/">INSPIRE</a>]</li>
<li>CMS Collaboration, "Production of prompt and nonprompt <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> mesons in jets in pp collisions at <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>5.02</mn><mtext> </mtext><mi>T</mi><mi>e</mi><mi>V</mi></mrow><annotation encoding="application/x-tex">\sqrt{s}=5.02~TeV</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.04em;vertical-align:-0.23972em;"></span><span class="mord sqrt"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8002800000000001em;"><span class="svg-align" style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord mathdefault">s</span></span></span><span style="top:-2.76028em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,
-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,
-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,
35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,
-221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467
s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422
s-65,47,-65,47z M834 80H400000v40H845z"/></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.23972em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.68333em;vertical-align:0em;"></span><span class="mord">5</span><span class="mord">.</span><span class="mord">0</span><span class="mord">2</span><span class="mspace nobreak"> </span><span class="mord mathdefault" style="margin-right:0.13889em;">T</span><span class="mord mathdefault">e</span><span class="mord mathdefault" style="margin-right:0.22222em;">V</span></span></span></span>", CMS-PAS-HIN-18-012, [<a href="http://cds.cern.ch/record/2318344">CDS</a>]</li>
<li>Dai, Lin, et al. "Quarkonium Polarization and the Long Distance Matrix Elements Hierarchies using Jet Substructure" Phys.Rev. D96 (2017) no.3, 036020 [<a href="http://inspirehep.net/record/1613333">INSPIRE</a>]</li>
<li>Dai, Lin, et al. "Heavy quark jet fragmentation." JHEP 1809 (2018) 109 [<a href="http://inspirehep.net/record/1673397">INSPIRE</a>]</li>
<li>Dai, Lin. "Applications of QCD Effective Theories to the Physics of Jets and Quarkonium Production." PhD Diss. University of Pittsburgh, 2018. [<a href="http://d-scholarship.pitt.edu/34888/1/dissertation-lin-dai-rev1.pdf">PDF</a>]</li>
<li>Konrad Tywoniuk, "Theory Overview - J/psi production in jets" ALICE Jpsi2ee PAG workshop, April 2019 [<a href="https://indico.cern.ch/event/801169/contributions/3368701/attachments/1824252/2984859/Jpsi2ee_Konrad.pdf">SLIDES</a>]</li>
</ol>
<h2 class="mume-header" id="physical-object">Physical Object</h2>
<p>The jet fragmentation function <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>z</mi><mo stretchy="false">(</mo><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">z(J/\psi)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.04398em;">z</span><span class="mopen">(</span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span><span class="mclose">)</span></span></span></span>, which is the <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>p</mi><mi>T</mi></msub></mrow><annotation encoding="application/x-tex">p_{T}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="mord"><span class="mord mathdefault">p</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.13889em;">T</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> fraction carried by <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> in jets.</p>
<p>In proton-proton collision at <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn><mtext> </mtext><mi>T</mi><mi>e</mi><mi>V</mi></mrow><annotation encoding="application/x-tex">\sqrt{s}=13~TeV</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.04em;vertical-align:-0.23972em;"></span><span class="mord sqrt"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8002800000000001em;"><span class="svg-align" style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord mathdefault">s</span></span></span><span style="top:-2.76028em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,
-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,
-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,
35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,
-221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467
s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422
s-65,47,-65,47z M834 80H400000v40H845z"/></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.23972em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.68333em;vertical-align:0em;"></span><span class="mord">1</span><span class="mord">3</span><span class="mspace nobreak"> </span><span class="mord mathdefault" style="margin-right:0.13889em;">T</span><span class="mord mathdefault">e</span><span class="mord mathdefault" style="margin-right:0.22222em;">V</span></span></span></span>, <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> mesons are reconstructed using their dielectron channel in <strong><em>central barrel</em></strong>. The dielectron events were selected offline with the L0 trigger system, requiring <strong><em>one</em></strong> leg in EMCal/DCal and exceed the L1 energy threshold. Other analysis cuts deployed for electron identification will be presented in following sections. Prompt and non-prompt <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>J</mi><mi mathvariant="normal">/</mi><mi>ψ</mi></mrow><annotation encoding="application/x-tex">J/\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord mathdefault" style="margin-right:0.09618em;">J</span><span class="mord">/</span><span class="mord mathdefault" style="margin-right:0.03588em;">ψ</span></span></span></span> mesons are seperated by pesudo-proper decay length.</p>
<p>Jets are clustered using the anti-<span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>k</mi><mi>T</mi></msub></mrow><annotation encoding="application/x-tex">k_{T}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.84444em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.03148em;">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:-0.03148em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.13889em;">T</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> algorithm from charged tracks, with R=0.2, which provides by <a href="http://fastjet.fr" title="v3.2.1">fastjet</a> package.</p>
<h3 class="mume-header" id="related-analysis-alice">Related analysis @ ALICE</h3>
<ol>
<li>[<a href="https://alice-notes.web.cern.ch/node/646" title="Jpsi with EMCal">AN-646</a>] "J/ψ measurements in pp collisions at s√ = 13 TeV using EMCal-triggered events with ALICE at LHC", Cristiane Jahnke (Munich EC, DE), 29 June, 2017</li>
<li>[<a href="https://alice-notes.web.cern.ch/node/876" title="Inclusive Jpsi">AN-876</a>] "Inclusive Jpsi production cross-section in pp collisions at 13TeV", Ingrid Mckibben Lofnes (UBergen, NO), 19 March, 2019</li>
<li>[<a href="https://alice-notes.web.cern.ch/node/850" title="Charged jet">AN-850</a>] "Multiplicity dependence of charged jet production in pp collisions at 13 TeV", Yongzhen Hou (CCNU, CN), 21 September, 2018</li>
<li>[<a href="https://alice-notes.web.cern.ch/node/746" title="Jpsi-Hadron">AN-746</a>] "Inclusive J/psi - hadron correlations at mid-rapidty in MB and high multiplicity pp collisions at sqrt(s) = 13 TeV", Lucas Altenkamper (UBergen, NO), 26 April, 2018</li>
</ol>
<h2 class="mume-header" id="datasets">Datasets</h2>
<p>ALICE Run2 pp 13TeV (with EMC), 2016-2018</p>
<ul>
<li>From DPG twiki : <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/AliDPGReconstructedDataTakingPeriodspp13TeV" title="Reconstructed Run-2 data taking periods with pp collisions, √s= 13 TeV">DataTaking</a> | <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/AODsets" title="AOD version and run number range">Production</a> | <a href="https://twiki.cern.ch/twiki/bin/view/ALICE/AliDPGRunLists" title="Lists of good runs for Run2 periods">RunLists-calo</a> |</li>
<li>From MonALISA: <a href="https://alimonitor.cern.ch/configuration/index.jsp?partition=LHC16l&pass=1&raw_run=&filling_scheme=&filling_config=&fillno=&energy=&intensity_per_bunch=&mu=&interacting_bunches=&noninteracting_bunches_beam_1=&noninteracting_bunches_beam_2=&interaction_trigger=&rate=&beam_empty_trigger=&empty_empty_trigger=&muon_trigger=&high_multiplicity_trigger=&emcal_trigger=&calibration_trigger=&quality=&muon_quality=&physics_selection_status=&comment=&field=&det_aco=&det_ad0=&det_emc=1&det_fmd=&det_hlt=&det_hmp=&det_mch=&det_mtr=&det_phs=&det_pmd=&det_spd=1&det_sdd=1&det_ssd=1&det_tof=&det_tpc=1&det_trd=&det_t00=&det_v00=1&det_zdc=&hlt_mode=&changedon=" title="Run condition table on alimonitor">RCT</a> (DET Status Flags - SPD + SDD + SSD + TPC + V0 + EMCal)|</li>
<li>From LEGO train : <a href="https://alimonitor.cern.ch/trains/train.jsp?train_id=29">DQ_pp_AOD</a> | <a href="https://alimonitor.cern.ch/trains/train.jsp?train_id=47">Jet_EMC_pp</a> |</li>
</ul>
<p>All datasets used is collected in <strong>Datasets/DQ_pp_AOD.C</strong>, which can be executed and accessed like <em>DATASETS["16l_pass1"]</em>. If not in LEGO train, the number of jobs will be <strong><em>limited under 1500, about 33 runs.</em></strong> Original run lists from DPG is stored under <strong>Datasets/DATA/</strong>.</p>
<table>
<thead>
<tr>
<th>Run Period</th>
<th>MB</th>
<th>Muon</th>
<th>EMCAL</th>
<th>N runs</th>
<th>INT7</th>
<th>EMCEGA</th>
<th>EG1</th>
<th>EG2</th>
<th>DG1</th>
<th>DG2</th>
<th>Nano</th>
</tr>
</thead>
<tbody>
<tr>
<td>18p</td>
<td>64,723,976</td>
<td>38,946,331</td>
<td>8,206,052</td>
<td>66</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18o</td>
<td>27,495,955</td>
<td>14,997,718</td>
<td>3,506,262</td>
<td>26</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18n*</td>
<td>3,835,344</td>
<td>21,207</td>
<td></td>
<td>2</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18m</td>
<td>134,624,309</td>
<td>60,378,259</td>
<td>15,669,592</td>
<td>142</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18l</td>
<td>40,366,370</td>
<td>16,800,730</td>
<td>4,118,681</td>
<td>39</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18k</td>
<td>8,764,716</td>
<td>36,793,499</td>
<td>906,769</td>
<td>10</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18j</td>
<td>96,797</td>
<td>43,361</td>
<td>9,597</td>
<td>1</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18i*</td>
<td>55,845,385</td>
<td>553,722</td>
<td></td>
<td>7</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18h</td>
<td>4,251,665</td>
<td>1,834,724</td>
<td>434,065</td>
<td>2</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18g*</td>
<td>1,508,180</td>
<td></td>
<td></td>
<td>1</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18f</td>
<td>44,009,568</td>
<td>18,923,929</td>
<td>4,653,741</td>
<td>46</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18e</td>
<td>52,440,125</td>
<td>21,328,980</td>
<td>6,170,463</td>
<td>38</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18d</td>
<td>28,079,632</td>
<td>11,969,409</td>
<td>3,317,779</td>
<td>28</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18c*</td>
<td>267,232,152</td>
<td>14,312,085</td>
<td></td>
<td>46</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>18b*</td>
<td>167,363,075</td>
<td>2,107,216</td>
<td></td>
<td>22</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17r</td>
<td>25,356,149</td>
<td>16,306,258</td>
<td>4,554,303</td>
<td>27</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17o</td>
<td>101,301,254</td>
<td>61,352,135</td>
<td>17,350,119</td>
<td>128</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17m*</td>
<td>97,253,493</td>
<td>15,004,475</td>
<td>4,932,360</td>
<td>93</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17l</td>
<td>66,971,443</td>
<td>41,517,736</td>
<td>11,726,035</td>
<td>105</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17k</td>
<td>89,488,618</td>
<td>38,583,640</td>
<td>11,652,619</td>
<td>93</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17j*</td>
<td>41,314,510</td>
<td>163,093</td>
<td></td>
<td>10</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17i*</td>
<td>54,162,665</td>
<td>14,422,733</td>
<td>4,209,950</td>
<td>56</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17h*</td>
<td>90,126,837</td>
<td>16,633,082</td>
<td>5,610,223</td>
<td>63</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17g*</td>
<td>110,598,542</td>
<td>1,620,926</td>
<td></td>
<td>26</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17f*</td>
<td>12,112,114</td>
<td>106,809</td>
<td>3,583</td>
<td>5</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>17c*</td>
<td>1,962,343</td>
<td>601</td>
<td></td>
<td>4</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16p</td>
<td>23,175,087</td>
<td>13,077,528</td>
<td>2,570,124</td>
<td>39</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16o*</td>
<td>9,397,646</td>
<td>3,195,337</td>
<td>740,813</td>
<td>17</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16l</td>
<td>30,687,176</td>
<td>17,153,082</td>
<td>18,057,636</td>
<td>51</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16k</td>
<td>105,446,176</td>
<td>47,974,758</td>
<td>17,241,173</td>
<td>123</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16j</td>
<td>53,638,211</td>
<td>14,260,378</td>
<td>3,581,261</td>
<td>33</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16i</td>
<td>36,566,073</td>
<td>12,227,075</td>
<td>2,272,121</td>
<td>14</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16h*</td>
<td>50,404,063</td>
<td>11,696,888</td>
<td></td>
<td>35</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>16g*</td>
<td>19,103,014</td>
<td>2,450,982</td>
<td></td>
<td>8</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
<tr>
<td>Total</td>
<td>1,619,516,002</td>
<td>438,267,301</td>
<td>124,113,415</td>
<td>1,127</td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
<td></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="luminosity-and-event-normalization">Luminosity and event normalization</h3>
<p>Luminosity is used to normalize the measured spectra for cross section estimation.</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mrow><msup><mi>d</mi><mn>2</mn></msup><mi>σ</mi></mrow><mrow><mi>d</mi><msub><mi>p</mi><mi>T</mi></msub><mi>d</mi><mi>η</mi></mrow></mfrac><mo>=</mo><mfrac><mn>1</mn><msub><mi mathvariant="script">L</mi><mrow><mi>i</mi><mi>n</mi><mi>t</mi></mrow></msub></mfrac><mfrac><msub><mi>N</mi><mrow><mi>p</mi><mi>h</mi><mi>y</mi><mi>s</mi><mi mathvariant="normal">.</mi><mi>o</mi><mi>b</mi><mi>j</mi><mi mathvariant="normal">.</mi></mrow></msub><mrow><mi mathvariant="normal">Δ</mi><msub><mi>p</mi><mi>T</mi></msub><mi mathvariant="normal">Δ</mi><mi>η</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{d^{2}\sigma}{dp_{T}d\eta}=\frac{1}{\mathscr{L}_{int}}\frac{N_{phys.obj.}}{\Delta p_{T}\Delta \eta}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:2.371548em;vertical-align:-0.8804400000000001em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.491108em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault">d</span><span class="mord"><span class="mord mathdefault">p</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.13889em;">T</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord mathdefault">d</span><span class="mord mathdefault" style="margin-right:0.03588em;">η</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathdefault">d</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span><span class="mord mathdefault" style="margin-right:0.03588em;">σ</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8804400000000001em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:2.2407700000000004em;vertical-align:-0.8804400000000001em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.3139999999999996em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord"><span class="mord mathscr" style="margin-right:0.19189em;">L</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.31166399999999994em;"><span style="top:-2.5500000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">i</span><span class="mord mathdefault mtight">n</span><span class="mord mathdefault mtight">t</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8360000000000001em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.36033em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">Δ</span><span class="mord"><span class="mord mathdefault">p</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.13889em;">T</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord">Δ</span><span class="mord mathdefault" style="margin-right:0.03588em;">η</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3361079999999999em;"><span style="top:-2.5500000000000003em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">p</span><span class="mord mathdefault mtight">h</span><span class="mord mathdefault mtight" style="margin-right:0.03588em;">y</span><span class="mord mathdefault mtight">s</span><span class="mord mtight">.</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight">b</span><span class="mord mathdefault mtight" style="margin-right:0.05724em;">j</span><span class="mord mtight">.</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.286108em;"><span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8804400000000001em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></p>
<p>The determinination of the integrated luminosity is based on the measurement of a reference cross section, <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>σ</mi><mrow><mi>V</mi><mn>0</mn><mi>A</mi><mi>N</mi><mi>D</mi></mrow></msub></mrow><annotation encoding="application/x-tex">\sigma_{V0AND}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.58056em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.03588em;">σ</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:-0.03588em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mtight">0</span><span class="mord mathdefault mtight">A</span><span class="mord mathdefault mtight" style="margin-right:0.10903em;">N</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">D</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>, obtained from a van-der-Meer scan. From <a href="https://cds.cern.ch/record/2160174" title="ALICE-PUBLIC-2016-002, Jun. 10th 2016">result</a> in 2015: <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>σ</mi><mrow><mi>V</mi><mn>0</mn><mi>A</mi><mi>N</mi><mi>D</mi></mrow></msub><mo>=</mo><mn>57.8</mn><mtext> </mtext><mi>m</mi><mi>b</mi><mo>±</mo><mn>5</mn><mi mathvariant="normal">%</mi><mtext> </mtext><mo stretchy="false">(</mo><mi>s</mi><mi>y</mi><mi>s</mi><mi mathvariant="normal">.</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\sigma_{V0AND}=57.8~mb\pm5\%~(sys.)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.58056em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.03588em;">σ</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:-0.03588em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mtight">0</span><span class="mord mathdefault mtight">A</span><span class="mord mathdefault mtight" style="margin-right:0.10903em;">N</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">D</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.77777em;vertical-align:-0.08333em;"></span><span class="mord">5</span><span class="mord">7</span><span class="mord">.</span><span class="mord">8</span><span class="mspace nobreak"> </span><span class="mord mathdefault">m</span><span class="mord mathdefault">b</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">±</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">5</span><span class="mord">%</span><span class="mspace nobreak"> </span><span class="mopen">(</span><span class="mord mathdefault">s</span><span class="mord mathdefault" style="margin-right:0.03588em;">y</span><span class="mord mathdefault">s</span><span class="mord">.</span><span class="mclose">)</span></span></span></span>, while <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="script">L</mi><mo>=</mo><msubsup><mi>N</mi><mrow><mi>V</mi><mn>0</mn><mi>A</mi><mi>N</mi><mi>D</mi></mrow><mrow><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">.</mi></mrow></msubsup><mi mathvariant="normal">/</mi><msub><mi>σ</mi><mrow><mi>V</mi><mn>0</mn><mi>A</mi><mi>N</mi><mi>D</mi></mrow></msub></mrow><annotation encoding="application/x-tex">\mathscr{L}=N_{V0AND}^{corr.}/\sigma_{V0AND}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.7em;vertical-align:0em;"></span><span class="mord"><span class="mord mathscr" style="margin-right:0.19189em;">L</span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:1.025331em;vertical-align:-0.275331em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.664392em;"><span style="top:-2.424669em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mtight">0</span><span class="mord mathdefault mtight">A</span><span class="mord mathdefault mtight" style="margin-right:0.10903em;">N</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">D</span></span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mtight">.</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.275331em;"><span></span></span></span></span></span></span><span class="mord">/</span><span class="mord"><span class="mord mathdefault" style="margin-right:0.03588em;">σ</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:-0.03588em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mtight">0</span><span class="mord mathdefault mtight">A</span><span class="mord mathdefault mtight" style="margin-right:0.10903em;">N</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">D</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>.</p>
<p>The number of events <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msubsup><mi>N</mi><mrow><mi>V</mi><mn>0</mn><mi>A</mi><mi>N</mi><mi>D</mi></mrow><mrow><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">.</mi></mrow></msubsup></mrow><annotation encoding="application/x-tex">N_{V0AND}^{corr.}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.958661em;vertical-align:-0.275331em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.664392em;"><span style="top:-2.424669em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mtight">0</span><span class="mord mathdefault mtight">A</span><span class="mord mathdefault mtight" style="margin-right:0.10903em;">N</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">D</span></span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mtight">.</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.275331em;"><span></span></span></span></span></span></span></span></span></span> includes events with and without a reconstructed vertex within the vertex requirement <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">∣</mi><mi>z</mi><mi mathvariant="normal">∣</mi><mo><</mo><mn>10</mn><mtext> </mtext><mi>c</mi><mi>m</mi></mrow><annotation encoding="application/x-tex">|z|<10~cm</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-0.25em;"></span><span class="mord">∣</span><span class="mord mathdefault" style="margin-right:0.04398em;">z</span><span class="mord">∣</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.64444em;vertical-align:0em;"></span><span class="mord">1</span><span class="mord">0</span><span class="mspace nobreak"> </span><span class="mord mathdefault">c</span><span class="mord mathdefault">m</span></span></span></span>. We assume the events without a reconstructed vertex follow the same vertex distribution as reconstructed events, so the event number can be estimated from the fraction <span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>f</mi><mi>z</mi></msub></mrow><annotation encoding="application/x-tex">f_{z}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10764em;">f</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:-0.10764em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.04398em;">z</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> (with Gaussian function).</p>
<p><span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>N</mi><mrow><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">.</mi></mrow></msub><mo>=</mo><msub><mi>f</mi><mi>z</mi></msub><mo>⋅</mo><msub><mi>N</mi><mrow><mi>s</mi><mi>e</mi><mi>l</mi><mi mathvariant="normal">.</mi></mrow></msub><mo>=</mo><mfrac><msub><mi>N</mi><mrow><mi mathvariant="normal">∣</mi><mi>V</mi><mi>t</mi><mi>x</mi><mi>Z</mi><mi mathvariant="normal">∣</mi><mo><</mo><mn>10</mn><mi>c</mi><mi>m</mi></mrow></msub><msub><mi>N</mi><mrow><mi>V</mi><mi>t</mi><mi>x</mi></mrow></msub></mfrac><mo>⋅</mo><msub><mi>N</mi><mrow><mi>s</mi><mi>e</mi><mi>l</mi><mi mathvariant="normal">.</mi></mrow></msub></mrow><annotation encoding="application/x-tex">N_{corr.}=f_{z}\cdot N_{sel.}=\frac{N_{|VtxZ|<10cm}}{N_{Vtx}}\cdot N_{sel.}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mtight">.</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10764em;">f</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:-0.10764em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.04398em;">z</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.33610799999999996em;"><span style="top:-2.5500000000000003em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">e</span><span class="mord mathdefault mtight" style="margin-right:0.01968em;">l</span><span class="mord mtight">.</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:2.2645299999999997em;vertical-align:-0.8360000000000001em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.4285299999999999em;"><span style="top:-2.3139999999999996em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">x</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.7451999999999996em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.34480000000000005em;"><span style="top:-2.5198em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">∣</span><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">x</span><span class="mord mathdefault mtight" style="margin-right:0.07153em;">Z</span><span class="mord mtight">∣</span><span class="mrel mtight"><</span><span class="mord mtight">1</span><span class="mord mtight">0</span><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight">m</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.3551999999999999em;"><span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8360000000000001em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">⋅</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.33610799999999996em;"><span style="top:-2.5500000000000003em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">e</span><span class="mord mathdefault mtight" style="margin-right:0.01968em;">l</span><span class="mord mtight">.</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></span></p>
<h2 class="mume-header" id="qa">QA</h2>
<p>To check the status and performance of detectors and the agreement between data and MC. Level: Run, Event, Track, Detector, PID, Phys. Objects</p>
<ul>
<li>From DPG and PWG/PAG tutorial.</li>
<li>From related analysis note.</li>
</ul>
<h3 class="mume-header" id="run-wise">Run-wise</h3>
<p>Run-wise QA is generated from histograms of event, track, cluster and other levels run-by-run. Average value of variables and event counts are frequently used indexes. If possible, use <code>THnSparse</code> to store variables for the convenience of post plotting.</p>
<table>
<thead>
<tr>
<th>Parameter</th>
<th>Description</th>
<th>Method</th>
</tr>
</thead>
<tbody>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>N</mi><mrow><mi>e</mi><mi>v</mi><mi>e</mi><mi>n</mi><mi>t</mi><mi>s</mi></mrow></msub></mrow><annotation encoding="application/x-tex">N_{events}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.2805559999999999em;"><span style="top:-2.5500000000000003em;margin-left:-0.10903em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">e</span><span class="mord mathdefault mtight" style="margin-right:0.03588em;">v</span><span class="mord mathdefault mtight">e</span><span class="mord mathdefault mtight">n</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">s</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></td>
<td>Number and fraction of events in triggers and event cuts.</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mover accent="true"><mi>N</mi><mo>ˉ</mo></mover><mrow><mi>G</mi><mi>o</mi><mi>o</mi><mi>d</mi><mtext> </mtext><mi>t</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi>k</mi><mi>s</mi></mrow></msub></mrow><annotation encoding="application/x-tex">\bar{N}_{Good~tracks}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.9701099999999999em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8201099999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span></span></span><span style="top:-3.25233em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.16666em;">ˉ</span></span></span></span></span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.33610799999999996em;"><span style="top:-2.5500000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">G</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight">d</span><span class="mspace nobreak mtight"><span class="mtight"> </span></span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight">a</span><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight" style="margin-right:0.03148em;">k</span><span class="mord mathdefault mtight">s</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></td>
<td>Average number of good tracks</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mover accent="true"><mi>N</mi><mo>ˉ</mo></mover><mrow><mi>S</mi><mi>P</mi><mi>D</mi><mi>t</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi>k</mi><mi>l</mi><mi>e</mi><mi>t</mi><mi>s</mi></mrow></msub></mrow><annotation encoding="application/x-tex">\bar{N}_{SPDtracklets}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.9701099999999999em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8201099999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span></span></span><span style="top:-3.25233em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.16666em;">ˉ</span></span></span></span></span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.33610799999999996em;"><span style="top:-2.5500000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.05764em;">S</span><span class="mord mathdefault mtight" style="margin-right:0.13889em;">P</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">D</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight">a</span><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight" style="margin-right:0.03148em;">k</span><span class="mord mathdefault mtight" style="margin-right:0.01968em;">l</span><span class="mord mathdefault mtight">e</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">s</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></td>
<td>Average number of SPD tracklets</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mover accent="true"><mi>Z</mi><mo>ˉ</mo></mover><mrow><mi>V</mi><mi>t</mi><mi>x</mi></mrow></msub><mo separator="true">,</mo><mi>σ</mi><mo stretchy="false">(</mo><mi>Z</mi><msub><mo stretchy="false">)</mo><mrow><mi>V</mi><mi>t</mi><mi>x</mi></mrow></msub></mrow><annotation encoding="application/x-tex">\bar{Z}_{Vtx}, \sigma(Z)_{Vtx}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.07011em;vertical-align:-0.25em;"></span><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8201099999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.07153em;">Z</span></span></span><span style="top:-3.25233em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.16666em;">ˉ</span></span></span></span></span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">x</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mpunct">,</span><span class="mspace" style="margin-right:0.16666666666666666em;"></span><span class="mord mathdefault" style="margin-right:0.03588em;">σ</span><span class="mopen">(</span><span class="mord mathdefault" style="margin-right:0.07153em;">Z</span><span class="mclose"><span class="mclose">)</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">x</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></td>
<td>Mean and sigma value of vertex Z or (X/Y/XY)</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msubsup><mover accent="true"><mi>N</mi><mo>ˉ</mo></mover><mrow><mi>c</mi><mi>o</mi><mi>n</mi><mi>t</mi><mi>r</mi><mi>i</mi><mi>b</mi><mi>u</mi><mi>t</mi><mi>o</mi><mi>r</mi><mi>s</mi></mrow><mrow><mi>V</mi><mi>t</mi><mi>x</mi></mrow></msubsup></mrow><annotation encoding="application/x-tex">\bar{N}_{contributors}^{Vtx}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.1244389999999997em;vertical-align:-0.2831079999999999em;"></span><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8201099999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span></span></span><span style="top:-3.25233em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.16666em;">ˉ</span></span></span></span></span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8413309999999999em;"><span style="top:-2.4168920000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight">n</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight">i</span><span class="mord mathdefault mtight">b</span><span class="mord mathdefault mtight">u</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">o</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight">s</span></span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.22222em;">V</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">x</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.2831079999999999em;"><span></span></span></span></span></span></span></span></span></span></td>
<td>Average number of vertex contributors</td>
<td></td>
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<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo><</mo><mi>M</mi><mi>u</mi><mi>l</mi><mi>t</mi><mi>i</mi><mi>p</mi><mi>l</mi><mi>i</mi><mi>c</mi><mi>i</mi><mi>t</mi><mi>y</mi><mo>></mo></mrow><annotation encoding="application/x-tex"><Multiplicity></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord mathdefault" style="margin-right:0.10903em;">M</span><span class="mord mathdefault">u</span><span class="mord mathdefault" style="margin-right:0.01968em;">l</span><span class="mord mathdefault">t</span><span class="mord mathdefault">i</span><span class="mord mathdefault">p</span><span class="mord mathdefault" style="margin-right:0.01968em;">l</span><span class="mord mathdefault">i</span><span class="mord mathdefault">c</span><span class="mord mathdefault">i</span><span class="mord mathdefault">t</span><span class="mord mathdefault" style="margin-right:0.03588em;">y</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">></span></span></span></span></td>
<td>Average value of multiplicity, includes VZERO amp.</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo><</mo><msub><mi>Q</mi><mi>n</mi></msub><mo>></mo></mrow><annotation encoding="application/x-tex"><Q_{n}></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="mrel"><</span><span class="mspace" style="margin-right:0.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:0.8777699999999999em;vertical-align:-0.19444em;"></span><span class="mord"><span class="mord mathdefault">Q</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">n</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2777777777777778em;"></span><span class="mrel">></span></span></span></span></td>
<td>Average value of event plane Q value</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mover accent="true"><mi>N</mi><mo>ˉ</mo></mover><mrow><mi>c</mi><mi>l</mi><mi>u</mi><mi>s</mi><mi>t</mi><mi>e</mi><mi>r</mi><mi>s</mi></mrow></msub></mrow><annotation encoding="application/x-tex">\bar{N}_{clusters}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.9701099999999999em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8201099999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:0.10903em;">N</span></span></span><span style="top:-3.25233em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.16666em;">ˉ</span></span></span></span></span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.33610799999999996em;"><span style="top:-2.5500000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">c</span><span class="mord mathdefault mtight" style="margin-right:0.01968em;">l</span><span class="mord mathdefault mtight">u</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">t</span><span class="mord mathdefault mtight">e</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">r</span><span class="mord mathdefault mtight">s</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></td>
<td>Average number of calo clusters</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>C</mi><mi>l</mi><mi>u</mi><mi>s</mi><mi>t</mi><mi>e</mi><mi>r</mi><mtext> </mtext><mi>η</mi></mrow><annotation encoding="application/x-tex">Cluster~\eta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord mathdefault" style="margin-right:0.07153em;">C</span><span class="mord mathdefault" style="margin-right:0.01968em;">l</span><span class="mord mathdefault">u</span><span class="mord mathdefault">s</span><span class="mord mathdefault">t</span><span class="mord mathdefault">e</span><span class="mord mathdefault" style="margin-right:0.02778em;">r</span><span class="mspace nobreak"> </span><span class="mord mathdefault" style="margin-right:0.03588em;">η</span></span></span></span>-<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ϕ</mi><mtext> </mtext><mi>m</mi><mi>a</mi><mi>p</mi></mrow><annotation encoding="application/x-tex">\phi~map</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="mord mathdefault">ϕ</span><span class="mspace nobreak"> </span><span class="mord mathdefault">m</span><span class="mord mathdefault">a</span><span class="mord mathdefault">p</span></span></span></span></td>
<td>Identify bad cells/RCU</td>
<td></td>
</tr>
<tr>
<td><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>B</mi><mi>a</mi><mi>d</mi><mi>C</mi><mi>e</mi><mi>l</mi><msub><mi>l</mi><mrow><mi>I</mi><mi>D</mi></mrow></msub></mrow><annotation encoding="application/x-tex">BadCell_{ID}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.84444em;vertical-align:-0.15em;"></span><span class="mord mathdefault" style="margin-right:0.05017em;">B</span><span class="mord mathdefault">a</span><span class="mord mathdefault">d</span><span class="mord mathdefault" style="margin-right:0.07153em;">C</span><span class="mord mathdefault">e</span><span class="mord mathdefault" style="margin-right:0.01968em;">l</span><span class="mord"><span class="mord mathdefault" style="margin-right:0.01968em;">l</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.32833099999999993em;"><span style="top:-2.5500000000000003em;margin-left:-0.01968em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:0.07847em;">I</span><span class="mord mathdefault mtight" style="margin-right:0.02778em;">D</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></td>