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Physics Letters B 768 (2017) 103–129
Contents lists available atScienceDirect
Physics
Letters
B
www.elsevier.com/locate/physletb
Multiplicity
and
rapidity
dependence
of
strange
hadron
production
in pp,
pPb,
and
PbPb
collisions
at
the
LHC
.
The
CMS
Collaboration
CERN,Switzerland
a
r
t
i
c
l
e
i
n
f
o
a
b
s
t
r
a
c
t
Articlehistory: Received21May2016
Receivedinrevisedform10December2016 Accepted16January2017
Availableonline20February2017 Editor:M.Doser Keywords: CMS Physics Heavyion Spectra Radialflow
Measurements ofstrange hadron (K0
S,+,and−+
+)transverse momentumspectrain pp,pPb,
andPbPb collisionsarepresentedoverawiderangeofrapidityandeventcharged-particlemultiplicity. The data werecollectedwiththe CMS detectoratthe CERN LHCinpp collisions at√s=7TeV,pPb collisions at√sN N=5.02TeV,and PbPb collisions at√sN N=2.76TeV.Theaveragetransverse kinetic
energyisfoundtoincreasewithmultiplicity,atafasterrate forheavierstrange particlespeciesinall systems.Atsimilar multiplicities,thedifferenceinaveragetransverse kineticenergybetweendifferent particlespeciesisobservedtobelargerforpp andpPb eventsthanforPbPb events.InpPb collisions, theaveragetransversekineticenergyisfoundtobeslightlylargerinthePb-goingdirectionthaninthe p-goingdirectionforeventswithlarge multiplicity.Thespectraarecomparedtomodels motivatedby hydrodynamics.
©2017TheAuthor(s).PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense (http://creativecommons.org/licenses/by/4.0/).FundedbySCOAP3.
1. Introduction
Studiesofstrange-particle productioninhighenergycollisions ofprotonsandheavy ionsprovideimportantmeanstoinvestigate thedynamics ofthe collision process. Earlier studies of relativis-ticheavy ion collisions at the BNL RHIC and CERN SPS colliders indicatedanenhancementofstrangenessproductionwithrespect toproton–proton(pp)collisions[1,2],whichwashistorically inter-pretedto bedueto the formationofa high-densityquark–gluon medium[3].Theabundanceofstrangeparticlesatdifferent center-of-massenergiesisinlinewithcalculationsfromthermal statisti-cal models [4–6]. In gold–gold (AuAu) collisions at RHIC, strong azimuthal correlationsof final-statehadronswere observed, sug-gestingthattheproducedmediumbehaveslikeanear-perfectfluid undergoingapressure-drivenanisotropicexpansion[2].Studiesof strangenessandlightflavorproductionanddynamicsinheavyion collisions have provided further insight into the medium’s fluid-likenatureandevidenceforitspartoniccollectivity[2,7].
In recent years, the observation of a long-range “ridge” at smallazimuthalseparations intwo-particlecorrelationsin pp [8]
andproton-lead(pPb) [9–11] collisions withhighevent-by-event charged-particle multiplicity (referred to hereafter as “multiplici-ty”)hasprovidedanindicationforcollectiveeffectsinsystemsthat areanorderofmagnitudesmallerinsizethanheavyioncollisions.
E-mailaddress:[email protected].
Thenatureoftheobservedlong-rangeparticlecorrelationsinhigh multiplicitypp andpPb collisionsisstillunderintensedebate[12]. Whilethe collectiveflowofa fluid-likemedium providesa natu-ral interpretation[13–16],other modelsattributethisbehaviorto theinitialcorrelationofgluons[17–21],ortheanisotropic escape ofparticles[22].
Studies of identified particle production and correlations in highmultiplicity pp and pPb collisionsprovide detailed informa-tion abouttheunderlying particleproductionmechanism. Identi-fiedparticle(includingstrange-hadron)transversemomentum(pT) spectra andazimuthal anisotropies in lead–lead (PbPb) collisions attheCERNLHC havebeenstudied[23,24]anddescribed by hy-drodynamicmodels[25,26].Similarmeasurementshavebeen per-formed in pPb collisions as a function of multiplicity, where an indication of acommon velocity boostto the produced particles, knownas“radial flow”[27,28],andforamassdependenceofthe anisotropicflow[29,30]havebeenobserved.WhencomparingpPb andPbPb systemsatsimilarmultiplicities,a strongerradial veloc-ityboostisseen inthesmallerpPb collision system[27,30].This couldberelatedtoamuchhigherinitialenergydensityinahigh multiplicitybutsmallersystem,resultinginalargerpressure gra-dientoutwardalongtheradialdirection, aspredictedinRef.[31]. Toperform a quantitative comparison, a common average radial-flowvelocityfromdifferentcollisionsystemscanbeextractedfrom asimultaneousfittothespectraofvariousparticlespecies, based on the blast-wave model [32]. Inspired by hydrodynamics, the blast-wavemodelassumesa commonkinetic freeze-out tempera-http://dx.doi.org/10.1016/j.physletb.2017.01.075
pp events represent an even smaller system than pPb events, a strongerradial-flowboostmightbepresentcomparedtopPb and PbPb events ata comparable multiplicity [31]. Furthermore, ina pPb collision,thesystemisnotsymmetricinpseudorapidity(
η
).If afluid-likemediumisformed,itsenergydensitycouldbedifferent onthep- and Pb-goingsides, whichcouldlead toan asymmetry inthecollectiveradial-floweffectasafunctionofη
. Hydrodynam-icalmodelspredictthattheaveragepT(or, equivalently,the aver-agetransversekineticenergyKET,where
KET
≡
mT−
m,withmT
=
m2
+
p2T and m the particle mass) of produced particles is larger in the Pb-goingdirection than in the p-going direction, whilethistrendcould bereversedinmodelsbasedongluon sat-uration [37]. Measurement of identified particle pT spectra as a functionof
η
couldthushelptoconstraintheoreticalmodels.ThisLetterpresentsmeasurementsofstrange-particle pT spec-trainpp,pPb,andPbPb collisionsasafunctionofthemultiplicity inthe events.Specifically, we examine thespectra ofK0
S,
, and
− particles, where the inclusion of the charge-conjugate states isimplied for
and
− particles. The data were collected with theCMSdetectorattheLHC.Withtheimplementationofa ded-icated high-multiplicitytrigger, thepp and pPb datasamples ex-hibitmultiplicitiescomparabletothatobservedinperipheralPbPb collisions,where “peripheral”refers to
∼
50–100% centrality, with centralitydefinedasthefractionofthetotalinelasticcrosssection. Themostcentralcollisionshave0%centrality.Thisoverlapinmean multiplicityallowsthethreesystems,withdrasticallydifferent col-lisiongeometries, tobe compared.The largesolid-angle coverage oftheCMSdetectorpermitsthestrange-particle pT spectratobe studiedindifferentrapidityranges,andthusthestudyofpossible asymmetrieswithrespecttothep- andPb-goingdirectionsinpPb collisions.2. Detectoranddatasamples
Thecentralfeature oftheCMSapparatusisasuperconducting solenoid of 6 m internal diameter, which provides an axial field of3.8T.Withinthesolenoidvolume area siliconpixelandstrip tracker(with13and14layers inthecentralandendcapregions, respectively), alead tungstatecrystalelectromagnetic calorimeter (ECAL), and a brass and scintillator hadron calorimeter (HCAL), each composed ofa barrel andtwo endcapsections. The tracker covers the pseudorapidity range
|
η
|
<
2.
5. Reconstructed tracks with 1<
pT<
10GeV typically have resolutions of 1.5–3% in pT and 25–90 (45–150) μm in the transverse (longitudinal) impact parameter [38]. The ECAL and HCAL each cover|
η
|
<
3.
0 while forwardhadron calorimeters(HF) cover 3<
|
η
|
<
5.Muons with|
η
|
<
2.
4 aremeasuredwithgas-ionizationdetectorsembeddedin the steel flux-return yoke outside the solenoid. A more detailed descriptionoftheCMSdetector,together withadefinitionofthe coordinate system and the relevant kinematic variables, can be foundinRef. [39].The MonteCarlo(MC) simulationoftheparti-ingthedatafromthetworunperiods.Becauseoftheasymmetric beam conditions,the nucleon–nucleoncenter-of-mass inthe pPb collisions moves with speed
β
=
0.
434 in the laboratory frame, corresponding to a rapidity of 0.465. As a consequence, the ra-pidity ofa particle in thenucleon–nucleon center-of-mass frame ( ycm)isdetectedinthelaboratoryframe( ylab)withashift, ylab=
ycm
+
0.
465.ThepPb particleyieldsreportedinthisLetterare pre-sentedintermsof ycm,ratherthan ylab,forbettercorrespondence withtheresultsfromthepp andPbPb collisions.3. Selectionofeventsandtracks
The triggers, eventreconstruction,andeventselection are the sameasthosediscussedforpp,pPb,andPbPb collisionsinRefs.[8, 41]. Theyare briefly outlined inthe following paragraphs for pp andpPb collisions,whicharethemainfocusofthisLetter.A sub-setofperipheralPbPb datacollectedin2011withaminimum-bias triggerisreprocessedusingthesameeventselectionandtrack re-construction algorithmasforthepresentpPb andpp analyses,in order to more directly compare the three systems at the same multiplicity. Details of the 2011 PbPb analysis can be found in Refs.[41,42].
Minimum-bias pPb events are triggered by requiring at least one trackwith pT
>
0.
4GeV tobe found inthepixeltracker. Be-cause of hardware limitations in the data acquisition rate, only a small fraction(
∼
10−3)
of triggered minimum-bias events are recorded.Inordertocollectalargesampleofhigh-multiplicitypPb collisions,adedicatedhigh-multiplicitytriggerisimplemented us-ingtheCMSLevel-1(L1)andhigh-leveltrigger(HLT)systems[43]. AtL1,thetotaltransverseenergysummedovertheECALandHCAL isrequiredtoexceedeither20or40GeV,dependingonthe mul-tiplicityrequirementasspecified below.Charged particlesare re-constructedattheHLTlevelusingthepixeldetectors.Itisrequired that these tracks originate within a cylindrical region (30 cm in length along thedirectionofthe beamaxisand0.
2 cm in radius inthedirectionperpendicularto thataxis)centered onthe nom-inalinteraction point. Foreach event,the numberofpixel tracks (Nonlinetrk ) with
|
η
|
<
2.
4 and pT>
0.
4GeV isdetermined for each reconstructed vertex. Only tracks with a distance of closest ap-proach0.
4 cm orlesstooneoftheverticesareincluded.TheHLT selectionrequiresNonlinetrk forthevertexwiththelargestnumberof tracks to exceeda specific value. Data are collected in pPb colli-sionswiththresholds Nonlinetrk
>
100 and130foreventswithanL1 transverseenergythresholdof20GeV,and Nonlinetrk>
160 and190 forevents withan L1thresholdof 40GeV. Whileall eventswithNonline
The CMS Collaboration / Physics Letters B 768 (2017) 103–129 105
In the subsequent analysis of all collision systems, hadronic eventsare selectedby requiring thepresence ofatleast one en-ergydepositlargerthan3GeV ineachofthetwoHFcalorimeters. Eventsarealsorequiredtocontainaprimaryvertexwithin 15 cm ofthenominalinteractionpointalong thebeamaxisand0
.
15 cm in the transverse direction, where the primary vertex is the re-constructedvertexwiththelargesttrackmultiplicity.Atleasttwo reconstructed tracks are required to be associated with this pri-maryvertex,acondition thatisimportantonlyforminimum-bias events.Beam-relatedbackgroundissuppressedbyrejectingevents inwhichlessthan25%ofallreconstructedtrackssatisfythe high-purityselectiondefinedinRef.[38].InthepPb datasample,there is a 3% probability to haveat least one additional interaction in the same bunch crossing (pileup). The procedure used to reject pileupeventsinpPb collisionsisdescribedinRef.[41].Itisbased onthenumberoftracksassociatedwitheachreconstructedvertex andthe distancebetweendifferentvertices.Apurityof99.8%for single pPb collision events is achieved for the highest multiplic-itypPb range studiedin thisLetter. Forthepp data, theaverage numberofcollisionsper bunchcrossingis1.2.However,pp inter-actions thatare well separated fromeach other do not interfere. Thus,amongeventsidentifiedascontainingpileup,theeventis re-tainediftheseparationbetweentheprimaryvertexandanyother vertexexceeds 1 cm.Insuch events,onlytracksfromthehighest multiplicityvertexareused.Withtheabovecriteria,97%(98%)ofthesimulatedpPb events generatedwith the epos lhc [44] (hijing 2.1 [45]) programs are selected.Similarly,94% (96%)ofthepp eventssimulatedwiththe pythia6Tune Z2[46] (pythia 8Tune4C [47]) programs are se-lected.
Theevent-by-event charged-particle multiplicity Ntrkoffline is de-finedusingprimary tracks,i.e., tracksthat satisfy thehigh-purity criteria of Ref. [38] and, in addition, the following criteria de-signed to improve track quality and ensure the tracks emanate fromtheprimaryvertex.Theimpactparametersignificanceofthe trackwithrespecttotheprimaryvertexinthedirectionalongthe beamaxis,dz
/
σ
(
dz)
,is requiredto be lessthan 3,asis the cor-responding impact parameter in the transverse plane, dT/
σ
(
dT)
. Therelative pT uncertainty,σ
(
pT)/
pT,must belessthan 10%.To ensure high tracking efficiency and to reduce the rate of mis-reconstructed tracks, the tracks are required to satisfy|
η
|
<
2.
4 and pT>
0.
4GeV. Based on simulated samples generated with the hijing program, the efficiency for primary track reconstruc-tion is found to be greater than 80% for charged particles withpT
>
0.
6GeV and|
η
|
<
2.
4.For the multiplicity rangestudied in thisLetter, nodependenceofthe trackingefficiencyon multiplic-ityisfoundandtherateofmisreconstructedtracksis1–2%.Thepp, pPb, andPbPb dataare divided intoclasses basedon
Nofflinetrk . The quantity Ncorrectedtrk is the corresponding multiplicity corrected for detector and algorithm inefficiencies in the same kinematicregion (
|
η
|
<
2.
4 andpT>
0.
4GeV).The fractionofthe totalmultiplicity found ineach interval and the averagenumber oftracksboth beforeandafteraccountingforthecorrectionsare listedinTable 1forthe pp dataandinRef. [41]forthepPb and PbPb data.TheuncertaintyintheaveragevalueNcorrectedtrk is eval-uatedfromtheuncertaintyinthetrackingefficiency,whichis3.9% fora single track[48]. Forthe pp data,six multiplicity intervals, indicatedinTable 1,aredefined,whichareinclusiveforthelower boundsandexclusivefortheupperbounds,asindicatedinTable 1. TheaverageNtrkofflinevalueofminimum-biaseventsissimilartothat forthemultiplicity rangeNofflinetrk<
35.ForthepPb andPbPb data, eightintervalsaredefined.Theseeightintervalsareindicated,e.g., inthe legend ofFig. 2.Note that, unlike pp and PbPb collisions,Nofflinetrk forpPb collisions isnotdetermined inthe center-of-mass frame. However, the difference in the Noffline
trk definition between
Table 1
Fractionof the fullevent sample ineach multiplicity interval and the average multiplicity perintervalfor pp data.Themultiplicities Noffline
trk and Ncorrectedtrk are
determinedfor|η|<2.4 and pT>0.4GeV beforeandafterefficiencycorrections,
respectively.Thethirdandfourthcolumnslistthe averagevaluesofNoffline trk and Ncorrectedtrk .
Multiplicity interval (Noffline
trk ) Fraction Noffline trk Ncorrected trk [0,35) 0.93 12 14±1 [35,60) 0.06 43 50±2 [60,90) 6×10−3 68 79±3 [90,110) 2×10−4 97 112±4 [110,130) 1×10−5 116 135±5 [130,∞) 7×10−7 137 158±6
thelaboratoryandthecenter-of-massframesisfoundtobe min-imal andso thisdifferenceisignored. Thedetectorcondition has beencheckedtobestableforeventswithdifferentmultiplicities. 4. TheK0
S,
,and
−reconstructionandyields
ThereconstructionandselectionproceduresforK0S,
,and
−
candidatesarepresentedinRefs.[30,49].Toincreasetheefficiency for trackswith low momenta andlarge impact parameters, both characteristicofthestrange-particledecayproducts,theloose se-lection of tracks, asdefined in Ref. [38], is used. The K0
S and
candidates(generically referred toas“V0s”) arereconstructed,by combiningoppositelychargedparticlestodefine asecondary ver-tex.Eachofthetwotracksmusthavehitsinatleastfourlayersof thesilicontracker,andtransverseandlongitudinalimpact parame-tersignificanceswithrespecttotheprimaryvertexgreaterthan1. Thedistanceofclosestapproachofthepairoftrackstoeachother is required to be less than 0
.
5 cm. The fitted three-dimensional vertex of the pair of tracks is required to have aχ
2 value di-vided by thenumber of degreesoffreedom lessthan 7.Each of thetwo tracksis assumedtobe apioninthe caseoftheK0S re-construction. As the proton carries nearly all of the momentum in the
decay, the higher-momentum trackis assumedto be a protonandtheothertrackapioninthecaseofthe
reconstruc-tion.Toreconstruct
−particles,a
candidateiscombinedwith anadditionalchargedparticlecarryingthecorrectsign,todefinea commonsecondaryvertex.Thisadditionaltrackisrequiredtohave hitsinatleastfourlayersofthesilicontracker,andboththe trans-verseandlongitudinalimpactparametersignificanceswithrespect totheprimaryvertexarerequiredtoexceed 3.
Due to the long lifetime of the K0
S and
particles, the sig-nificance of the V0 decay length, whichis the three-dimensional distancebetweentheprimaryandV0verticesdividedbyits uncer-tainty,isrequiredtoexceed5.ToremoveK0
S candidates misiden-tified as
particles and vice versa, the
(K0S) candidate mass assuming both tracksto be pions(the lower-momentumtrackto beapionandthehigher-momentumtrackaproton)mustdifferby morethan 20
(
10)
MeV fromthe nominal[50]K0S()massvalue. To remove photon conversions to an electron–positron pair, the massofaK0Sor
candidateassumingbothtrackstohavethe elec-tron massmust exceed15MeV. The angle
θ
point betweenthe V0 momentumvector andthevectorconnectingtheprimary andV0 vertices is requiredto satisfy cosθ
point>
0.
999.This reduces the contributions ofparticlesfromnuclearinteractions, random com-binationsoftracks,andsecondaryparticlesoriginatingfromthe weakdecaysof
and
particles.
Fig. 1. InvariantmassdistributionofK0
S(left),(middle),and−(right)candidatesinthepTrange1–3GeV for220≤Nofflinetrk <260 inpPb collisions.Theinclusionof
thecharge-conjugatestatesisimpliedforand−particles.Thesolidlinesshowtheresultsoffitsdescribedinthetext.Thedashedlinesindicatethefittedbackground component.
from the
decay, and larger than 5 for the direct pion candi-datefrom the
− decay. Tofurther reduce thebackground from randomcombinationsoftracks,thecorresponding impact param-etersignificance of
− candidates cannot exceed 2.5. The three-dimensionaldecaylengthsignificance,withrespecttotheprimary vertex,ofthe
− candidateandtheassociated
candidatemust exceed3and12,respectively.
The K0
S,
, and
− reconstruction efficiencies are about 15, 5, and 0.7% for pT
≈
1GeV, and 20, 10, and2% for pT>
3GeV, averaged over|
η
|
<
2.
4. These efficiencies account for the ef-fectsof acceptance,and forthe branching fractions of the decay modes in which the strange particles are reconstructed. The in-variantmassdistributions ofreconstructedK0S,, and
− candi-dateswith1
<
pT<
3GeV areshowninFig. 1forpPb eventswith 220≤
Nofflinetrk<
260.Prominentmasspeaksare visible,withlittle background.Thesolidlines showtheresultofamaximum likeli-hoodfit.Inthisfit,thestrange-particlepeaksaremodeled asthe sumoftwoGaussian functionswithacommonmean.The “aver-ageσ
”valuesinFig. 1arethesquarerootoftheweightedaverage ofthevariancesofthetwoGaussian functions.Thebackgroundis modeledwithaquadraticfunctionfortheK0Sresults,withthe ana-lyticformAq1/2+
Bq3/2withq=
m− (
mπ+
mp)
fortheresults, andwiththeformCqDwithq
=
m−(
m+
mπ)
forthe−results,
whereA,B,C ,andD arefittedparameters.Thesefitfunctionsare foundtoprovideagooddescriptionofthesignalandbackground with relatively few free parameters. The fits are performedover therangesof strange-particleinvariant massesindicatedinFig. 1
toobtaintherawstrange-particleyields Nraw
K0 S//−
.
Therawstrange-particleyieldsarecorrectedtoaccountforthe branching fraction ofthe reconstructed decay mode, and forthe acceptanceandreconstructionefficiencyofthestrangeparticle, us-ing simulatedeventsamplesbased on the pythia 6(pp) or epos (pPb and PbPb)eventgeneratorand Geant4 modeling ofthe de-tector: Ncorr K0 S//−
=
Nraw K0 S//− Rcorr,
(1)where Rcorr is a correction factor from simulation given by the ratiooftherawreconstructedyieldtothetotalgeneratedyieldfor therespectivestrangeparticle,withNcorr
K0 S//−
thecorrectedyield. Theraw
particleyieldincludescontributionsfromthedecays of
− and
particles. This “nonprompt” contribution is largely determined by the relative
− to
yield (because the contri-butionfrom
particlesis negligible).Thestringentrequirements placed on cos
θ
point remove a large fraction ofthe nonpromptcomponentbut, fromsimulation, up to 10% of the
candidates
at high pT are nonprompt.If the relative
− to
yieldin sim-ulation is modeled precisely, the contamination from nonprompt
particleswillberemovedbythecorrectionprocedureofEq.(1). Otherwise,anadditionalcorrectiontoaccountfortheresidual con-tamination is necessary. As the
− particle yields are explicitly measured in this analysis, this residual correction factor can be determineddirectlyfromthedataas:
f,residualnp
=
1+
f,rawnp,MC Ncorr−/
Ncorr NMC−/
NMC−
1,
(2)where f,rawnp,MC denotes the fractionof nonprompt
particles in the raw reconstructed
sample asdetermined fromsimulation, while Ncorr−
/
Ncorr and NMC
−
/
NMC
are the
−-to-
yield ratios
from thedata afterapplying thecorrectionsof Eq.(1),andfrom generator-level simulation, respectively. The final prompt
par-ticle yield is given by Ncorr
/
f,residualnp . Based on epos MC studies, which has a similar−/
ratio to the data, the residual non-prompt contributions to the
yields are found to be negligible in pPb and PbPb collisions, while in pp collisions the correction is 1–3% depending on the pT value of the
particle. Note that
Ncorr
inEq.(2)isderivedusingEq.(1),whichinprinciplecontains
theresidualnonprompt
contributions.Nonetheless,byapplying Eq.(2) inan iterativefashion, we expect Ncorr to approacha re-sultcorresponding toprompt
particles only.Asecond iteration ofcorrectionisfoundtohaveaneffectoflessthan0.1%onthe
particle yield.As a cross-checkwe treat the sample ofsimulated eventsgeneratedwiththeHIJINGprogramlikedataandverifythat we obtain thecorrectyields atthe generatorlevel afterapplying thecorrectionproceduredescribedabove.
5. Systematicuncertainties
Table 2 summarizes thedifferentsources ofsystematic uncer-tainty intheyieldsofeach strangeparticlespecies. Thevaluesin parenthesescorrespondtothesystematicuncertaintiesinthe for-ward rapidity regions (
−
2.
4<
ycm<
−
1.
5 and 0.
8<
ycm<
1.
5) for pPb data, ifthey differfromthose atmid-rapidity. The dom-inant sources of systematic uncertainty are associated with the strange-particlereconstruction,especiallytheefficiency determina-tion.The CMS Collaboration / Physics Letters B 768 (2017) 103–129 107
Table 2
SummaryofsystematicuncertaintiesforthepTspectraofKS0,,and−particlesinthecenter-of-massrapidityrange
|ycm|<1.0 (forpPb events,atforwardrapidities,ifdifferent)forthethreecollisionsystems.
Source K0 S(%) (%) −(%) pT(GeV) <1.5 >1.5 <1.5 >1.5 Single-track efficiency 7.8 7.8 7.8 7.8 11.7 Yield extraction 2 (3) 2 (3) 2 (4) 2 (4) 3 Selection criteria 3.6 (3.6) 2.2 (3.6) 3.6 (6.4) 2.2 (6.4) 7 Momentum resolution 2 2 2 2 2 Nonpromptcorrection 2 2 Pileup (pp only) 3 1 3 1 3
Proton direction (pPb only) 3 (3) 3 (3) 3 (5) 3 (5) 4
Rapidity binning 1 (2) 1 (2) 1 (3) 1 (3) 2
Efficiency correction 5
Total (pp) 9.6 8.7 9.8 8.9 15.4
Total (pPb) 9.6 (10.0) 9.2 (10.0) 9.8 (12.6) 9.4 (12.6) 15.6
Total (PbPb) 9.1 8.6 9.3 8.9 15.1
and
−,whichprovidesacross-check ofthesystematic uncer-tainty.Thistranslatesinto a systematicuncertaintyin the recon-structionefficiencyof7.8% forthe K0S and
particles,and11.7% forthe
−particles.Differentbackgroundfitfunctionsand meth-ods to extract the yields for the KS0,
, and
− are compared. The background fit function is varied to a fourth-order polyno-mialfortheK0S and
studies,andtoalinearfunctionforthe
−
study.Theyields areobtainedbyintegratingover aregionthatis
±
5timestheaverageresolutionandcenteredatthemean,rather thanoverthe entirefittedmass range.Possible contamination by residualmisidentified V0 candidates(i.e.,a K0S particle misidenti-fiedasa
particle, orvice versa) isinvestigatedby varying the invariant mass range used to reject misidentified V0 candidates. Onthe basis of thesestudies we assign systematicuncertainties of2–4% to the yields. Systematic effects related to the selection ofthestrange-particlecandidatesareevaluatedbyvaryingthe se-lectioncriteria,resultinginanuncertaintyof1–7%.Theimpactof finitemomentumresolutiononthespectraisestimatedusingthe eposeventgenerator.Specifically,thegenerator-levelpTspectraof the strange particles are smeared by the momentum resolution, which is determined through comparison of the generator-level andmatched reconstructed-level particle information. The differ-ence betweenthe smeared and original spectra is less than 2%. Thesystematic uncertaintyassociated withnonprompt
correc-tions to the
spectra is evaluated through propagation of the systematic uncertainty in the Ncorr−
/
Ncorr ratio in Eq. (2) to thefresidual
,np factor,andisfoundto belessthan2%.Systematic uncer-taintiesintroduced bypossibleresidual pileupeffectsforpp data are estimated to be 1–3%. This uncertainty is evaluated through bothtightening(only onereconstructedvertexallowedperevent) andloosening (no eventrejectionon the basis ofthe numberof vertices)thepileuprejectioncriteria[41].Theuncertainty associ-atedwithpileupisnegligibleforthepPb andPbPb datasincethere arevery feweventsinthose sampleswithmore thanone recon-structed vertex. In pPb collisions, the direction of the p and Pb beamswerereversedduringcourseofthedatacollection,as men-tioned in Section 2. Comparison of the particle pT spectra with andwithoutthe beamreversalyields an uncertaintyof 2–5%for all particletypes. The effectof the choice ofthe rapidity bins is assessedbydividingeachbinintotwo,therebydoublingthe num-berof bins,resultingin a systematicuncertaintyof1–3% forthe
pT spectra.Forthe
−,the reconstructionefficiencycorrectionis smoothedby averaging adjacent bins inorder tocompensate for thelimitedstatisticalprecisionoftheMCsample.Variationsinthe smoothingprocedureleadtoasystematicuncertaintyof5%forthe
pTspectraofthe
−.
All sources of systematic uncertainty are uncorrelated and summedinquadraturetodefinethetotalsystematicuncertainties inthe pTspectraofeachstrangeparticle.Thetotalsystematic un-certaintiesbetweenthepp,pPb,andPbPb systemsaresimilarand largelycorrelated.When calculatingratiosofparticleyields,most ofthesystematicuncertaintiespartiallyorentirelycancel.For ex-ample,thesystematicuncertaintiesduetotrackingefficiencyand pileupforthe
/2K0S ratioarenegligible.
6. Results
6.1. Multiplicitydependenceatmid-rapidity
The pT spectra of K0S,
, and
− particles with
|
ycm|
<
1 in pp collisions at√
s=
7TeV (top),pPb collisionsat√
s=
5.
02TeV (middle),andPbPb collisionsat√
sN N=
2.
76TeV (bottom)are pre-sentedinFig. 2,fordifferentmultiplicity intervals. Duetodetails in the implementation of the dedicated high-multiplicity trigger thresholdsused toselectthe pp events,themultiplicity intervals forpp eventsdiffer slightlyfromthosefor pPb andPbPb events. The pTdifferential yieldisdefinedasdN2/(
2π
pT)
dpTd y.Forthe purposeofbetter visibility,the dataare scaledby factors of2−n, as indicated in the figure legend. A clear evolution of the spec-tral shapewithmultiplicity can be seenforeach particle species ineach collision system. Forhighermultiplicity events,the spec-tratendtobecomeflatter(i.e.,“harder”),indicatingalargerKET value.Withineachcollisionsystem,heavierparticles(e.g.,
−) ex-hibit a harder spectrum than lighter particles (K0S), especially for high-multiplicityevents.
To examine the differences in the multiplicity dependence of the spectra in greater detail, the ratios
/2K0
S and
−/
of the yields areshowninFig. 3asa functionof pT fordifferent multi-plicityrangesinthepp,pPb,andPbPb systems.Theresultsforthe
/2K0
low-Fig. 2. ThepTspectraofK0S,,and−particlesinthecenter-of-massrapidityrange|ycm|<1 inpp collisionsat√s=7TeV (top),pPb collisionsat√s=5.02TeV (middle),
andPbPb collisionsat√sN N=2.76TeV (bottom)fordifferentmultiplicityintervals.Theinclusionofthecharge-conjugatestatesisimpliedforand−particles.The
datainthedifferentmultiplicityintervalsarescaledbyfactorsof2−nforbettervisibility.Thestatisticaluncertaintiesaresmallerthanthemarkersandthesystematic
uncertaintiesarenotshown.
andhigh-multiplicity eventsisseen tobelargestforthepp data. Inthehydrodynamic modelofRef. [31],smallercollisionsystems likepp producealargerradial-floweffectthanlargersystemslike pPb or PbPb, for similar multiplicities, which could explain this observation.ForpT
>
2GeV,thebaryonenhancementcouldbe ex-plainedbyrecombinationmodels,inwhichfreequarksrecombine to form hadrons [53]. In previous studies (e.g., Ref. [54]), it has beenshownthat theaverage pT value ofvariousparticle species hasonlya slightcenter-of-massenergydependence(10% athigh multiplicity).Thisdependenceisnot sufficientto explainthe dif-ferencesobservedinFig. 3betweenthevarioussystems.Foreach multiplicity interval,the
/2K0S ratio reachesa max-imum that has a similar value for all three collision processes, and then decreases at higher pT. The location of the maximum increaseswithmultiplicityfromaround pT
=
2 to 3GeV.The results forthe
−/
ratio are shown in Fig. 3 (bottom). Inthiscase,thedifferencebetweenthelow- andhigh-multiplicity eventsismuchsmallerthanforthe
/2K0S ratio,forallthree col-lisionssystems.Forallsystems,the
−/
ratioincreaseswithpT andreachesaplateauataround pT
=
3GeV.Duetothelargesys-tematic uncertainty, it isnot possibleto draw a conclusion with respecttotheradial-flowinterpretation.
Motivatedby thehydrodynamicmodel,weperforma simulta-neous fit of a blast-wave function [32] to the K0S and
spectra in Fig. 2. The fits are restricted to low pT because that is the region in which the blast-wave model is valid. The blast-wave model is strictly appropriate only fordirectly produced particles, while about1/3 oftheK0S mesonsmaybe fromhighermass res-onances [55]. The
− particle isnot used in thefit asthere are not many
−atlow pT.Thefitsareperformedforeach collision systemseparately.Thefitrangesare0
.
1<
pT<
1.
5GeV fortheK0S and0.
6<
pT<
3.
0GeV forthe.Thefittedfunctionis:
1 pT dN dpT
∼
R 0 r dr mTI0 pTsinhρ
TkinK1 mTcosh
ρ
Tkin,
(3)where
ρ
=
tanh−1β
T=
tanh−1β
s(
r/
R)
nis the velocity profile,
The CMS Collaboration / Physics Letters B 768 (2017) 103–129 109
Fig. 3. RatiosofpTspectrafor/2KS0(top)and−/(bottom)inthecenter-of-massrapidityrange|ycm|<1.0 forpp collisionsat√s=7TeV (left),pPb collisionsat
√
s=5.02TeV (middle),andPbPb collisionsat√sN N=2.76TeV (right).Two(forpp)orthree(forpPb andPbPb)representativemultiplicityintervalsarepresented.The
inclusionofthecharge-conjugatestatesisimpliedforand− particles.Theerrorbarsrepresentthestatisticaluncertainties,whiletheboxesindicatethesystematic uncertainties.
expansionvelocity (also known asthe radial-flow velocity),
β
s is thetransverse expansion velocity on the surface of the medium,Tkin isthekineticfreeze-outtemperature,andI0andK1 are mod-ifiedBesselfunctions.Thefittedparametersthatgoverntheshape aren,
β
s,andTkin.Inthe blast-wave model,common values of Tkin andaverage radial-flow velocity
β
T are assumed for all particle species, as isexpected ifthe systemis locally thermalizedand undergoes a radial-flowexpansion.Itisusefultodirectlycomparetheextracted values of Tkin andβ
T fromthe different systems to study the system-sizedependenceatsimilarmultiplicities.TheextractedvaluesofTkinand
β
TareshowninFig. 4forthe sixpp andfortheeightpPb andPbPb multiplicityintervals.Inthis figure,themultiplicityincreasesfromlefttoright.Theellipses cor-respondtoone standard deviationstatisticaluncertainties, which forpp collisionsaresmalleratlowandhighmultiplicityduetothe useofevents collected withminimumbias andhigh-multiplicity triggers. Systematicuncertainties, which are evaluated by propa-gatingthe systematicuncertaintiesfromthe spectratothe blast-wave fits and altering the fit ranges, are on the order of a few percentandarenotshown.ExamplesofthefitsareshowninFig. 5foralow- andhigh-multiplicityrangeinpPb collisions.Ingeneral, thefit quality is goodfor high-multiplicity eventsexcept forthe lowest pT range,while for low-multiplicityevents there are dis-crepanciesontheorderof5%.However,thediscrepanciesbetween thefitanddataliewithinthesystematicuncertainty.
Theprecisemeaningofthe Tkin and
β
Tparametersismodel dependent,andthey shouldnot beinterpreted literallyasthe ki-netic freeze-out temperature andradial-flow velocity of the sys-tem. The mainpurpose ofFig. 4 is toprovide a qualitative com-parisonofthespectralshapesinthethreesystems.InthecontextFig. 4. Theextractedkineticfreeze-outtemperature,Tkin,versustheaverage
radial-flowvelocity,βT,fromasimultaneousblast-wavefittotheK0SandpTspectra
at|ycm|<1 fordifferentmultiplicityintervalsinpp,pPb,andPbPb collisions.The
sixpp andeightpPb andPbPb multiplicityintervalsareindicatedinthelegendof Fig. 2.Fortheresultsinthisplot,themultiplicityincreasesfromlefttoright.The correlationellipsesrepresentthestatisticaluncertainties.Systematicuncertainties, whichareevaluatedtobeontheorderofafewpercent,arenotshown. oftheblast-wavemodel,whencomparingatsimilarmultiplicities, theTkinparameterhasthesamevaluewithin15%amongthethree systems, while the
β
T parameter is larger when the system is smaller, i.e.,β
Tpp>
β
TpPb>
β
TPbPb. Thisis qualitatively con-sistent withthe predictionofRef. [31].The results ofblast-wave fitsare knowntodependontheparticlespecies. Duetothe lim-ited setofparticlesinthisanalysis,futurestudieswillbe needed tofurthersubstantiatetheconclusions.Fig. 5. Examplesofsimultaneousblast-wavefitsofthepTspectraofKS0andparticlesinlow- andhigh-multiplicitypPb events.Theinclusionofthecharge-conjugatestates
isimpliedforparticles.TheratiosofthefitstothedataasafunctionofpTareshowninthebottompanels.Theuncertaintiesarestatisticalonlyandaretoosmalltobe
visibleformostofthepoints.
Fig. 6. Theaveragetransversekineticenergy,KET,at|ycm|<1 forK0S,,and− particlesasafunctionofmultiplicityinpp,pPb,andPbPb collisions.Theinclusionof
thecharge-conjugatestatesisimpliedforand−particles.Forthe−,onlyresultsfrompPb collisionsareshown.Theerrorbarsrepresentthestatisticaluncertainties, whiletheboxesindicatethesystematicuncertainties.
and
− particlesasafunctionofmultiplicityareshowninFig. 6. Extrapolation ofthe pT spectra down to pT
=
0GeV is a crucial stepinextractingtheKETvalues,whiletheimpactofthe extrap-olationupto pT
≈ ∞
isnegligible,bothonthevalueofKETand its uncertainty.Forthe
− particle,onlyresultsin pPb collisions are shown due to the limitation of the low-pT reach in pp and PbPb collisions,ascan beseen fromFig. 2.Blast-wavefits tothe individual spectra, which only consider the spectrum shape but donot impose anyphysics constraint, areused to obtainthe ex-trapolation.The fractionoftheextrapolatedyieldwithrespectto thetotal yield is about1.2–2.5%forthe K0
S, 5.8–15.1%forthe
, and5.4–20.4% forthe
− particles, depending on the multiplic-ity.Alternativemethods toperform theextrapolationare usedto evaluateasystematicuncertainty,includinguseofthepredictions fromthesimultaneousblast-wavefittotheK0
S and
pT spectra, anda linear extrapolation fromthe yields ina low range of pT. ThesystematicuncertaintiesfromTable 2arealsoincludedinthe evaluationofthe
KETuncertainties.
Forthelowestmultiplicityrange,the
KETvaluesforeach par-ticlespecies areseen to besimilar. Forall particle species, KET increases with increasing multiplicity. However, the slope of the increase differs for different particles, with the heavier particles exhibiting a faster growth in KET for all systems. For a given multiplicity range,the KETvalue isroughly proportional to the particle’s mass. In PbPb collisions, this can be understood to be dueto theonsetofradial flow [2,7].The observeddifference be-tween particlespeciesathighmultiplicity isseentobelargerfor pp andpPb eventsthanforPbPb events.Note,however,the differ-enceinthecenter-of-massenergiesbetweenthethreesystems.
6.2. RapiditydependenceinpPb events
The CMS Collaboration / Physics Letters B 768 (2017) 103–129 111
Fig. 7. ThepTspectraofK0S andparticlesindifferent ycm rangesfor pPb collisionsat √s=5.02TeV.Theinclusionofthecharge-conjugatestatesisimpliedfor
andparticles.Resultsareshownforthreemultiplicityranges:0≤Noffline
trk <35 (top),120≤N offline
trk <150 (middle),and220≤N offline
trk <260 (bottom).Withineachpanel,
thecurvesontoprepresentPb-goingeventsandthecurvesonbottomp-goingevents.Thedatainthedifferentrapidityintervalsarescaledbyfactorsof2−2n forbetter
visibility.Thestatisticaluncertaintiesaresmallerthanthemarkersandthesystematicuncertaintiesarenotshown.
pTspectraofK0S and
particlesindifferentycmrangesareshown inFig. 7forsmall(top),intermediate(middle),andlarge(bottom) averagemultiplicities.
The
/2K0S ratios fromthe
−
1.
5<
ycm<
−
0.
8 (Pb-going) and 0.
8<
ycm<
1.
5 (p-going)rapidityregions are comparedinFig. 8 formultiplicity ranges 0≤
Nofflinetrk<
35 and 220≤
Nofflinetrk<
260. Forboththelow-multiplicityandthehigh-multiplicityevents,the/2K0SratiofromthePb-goingdirectionliesabovetheresultsfrom thep-goingdirection,withthelargestdifferenceobservedathigh
pT inthehigh-multiplicitysample.
Asafurtherstudy,wecalculate
KET,followingtheprocedure outlined inSection 6.1, andexamine its dependence on ycm for K0S and
particlesinthepPb collisions.Theresultsareshownin
Fig. 8. RatiosofpTspectra,/2K0S,fromthe−1.5<ycm<−0.8 (Pb-going)and0.8<ycm<1.5 (p-going)rapidityregionsinpPb collisionsat√s=5.02TeV.Theinclusion
ofthecharge-conjugatestatesisimpliedforparticles.Resultsarepresentedfortwomultiplicityranges0≤Noffline
trk <35 (left)and220≤Ntrkoffline<260 (right).Theerror
barsrepresentthestatisticaluncertainties,whiletheboxesindicatethesystematicuncertainties.
Fig. 9. Theaveragetransversekineticenergy,KET,asafunctionofycmfortheK0S andparticlesinthreerangesofmultiplicityinpPb collisionsat
√
s=5.02TeV.The inclusionofthecharge-conjugatestatesisimpliedforparticles.Theerrorbarsrepresentthestatisticaluncertainties,whiletheboxesindicatethesystematicuncertainties. arelarge,the
KETvaluesareseentobecomeslightlyasymmetric
asmultiplicity increases. At low multiplicities (0
≤
Nofflinetrk<
35), theratiosofKETbetweenthePb-goingside(
−
1.
5<
ycm<
−
0.
8) andthep-going side(0.
8<
ycm<
1.
5) are 1.
01±
0.
01 (syst.) for K0S particlesand1
.
04±
0.
05 (syst.)forparticles,both ofwhich areconsistentwithunitywithin thesystematicuncertainties (the statistical uncertainties are negligible). However, in the highest multiplicity range,220
≤
Nofflinetrk<
260,theratios become 1.
06±
0.
01 (syst.)forK0S particlesand1.
12±
0.
06 (syst.)forparticles, suggestingthatan asymmetry inKETisdeveloped betweenthe Pb-going andp-going sides. This trend is qualitatively consistent withthehydrodynamicpredictionforpPb collisions[37].
7. Summary
Measurements of strange hadron (K0S,
+
, and−
+
+) transversemomentumspectrainpp, pPb,andPbPb collisionsare presentedoverawiderangeofeventcharged-particlemultiplicity andparticle rapidity.The studyis basedon samples of pp colli-sionsat√
s=
7TeV,pPb collisionsat√
s=
5.
02TeV,andPbPb col-lisionsat√
sN N=
2.
76TeV,collectedwiththeCMSdetectoratthe LHC.Inthecontextofhydrodynamic models,themeasured parti-clespectraarefittedwitha blastwave function,which describes anexpandingfluid-likesystem.Whencomparingatasimilar mul-tiplicity,theextractedradial-flowvelocityparametersarefoundto belargerinpp andpPb collisionsthanthatinPbPb collisions.The averagetransverse kinetic energyKETof strangehadronsis ob-served to increase with multiplicity,with a strongerincrease forheavier particles.At similar multiplicities, thedifference in
KET betweenthestrange-particlespeciesislargerinthesmallerpp and pPb systemsthaninthePbPb system.ForpPb collisions,KETin thePb-goingdirectionforK0S(
+
)is6%(12%)largerthaninthe p-goingdirectionforeventswiththehighestparticlemultiplicities. AcknowledgementsThe CMS Collaboration / Physics Letters B 768 (2017) 103–129 113
MESTD(Serbia); SEIDIandCPAN(Spain); SwissFundingAgencies (Switzerland); MST (Taipei); ThEPCenter, IPST, STAR and NSTDA (Thailand);TUBITAKandTAEK(Turkey);NASUandSFFR(Ukraine); STFC(UnitedKingdom);DOEandNSF(USA).
Individuals have received support from the Marie-Curie pro-gramandtheEuropeanResearchCouncilandEPLANET(European Union); the Leventis Foundation; the A.P. Sloan Foundation; the AlexandervonHumboldt Foundation;theBelgianFederal Science Policy Office; the Fonds pour la Formation à la Recherche dans l’Industrie et dans l’Agriculture (FRIA-Belgium); the Agentschap voor Innovatie door Wetenschap en Technologie (IWT-Belgium); theMinistryofEducation, YouthandSports (MEYS)ofthe Czech Republic;theCouncilofScienceandIndustrialResearch,India;the HOMING PLUSprogram ofthe Foundation forPolish Science, co-financed from European Union, Regional Development Fund; the MobilityPlusprogramoftheMinistryofScienceandHigher Edu-cation(Poland);theOPUSprogramoftheNationalScienceCenter (Poland);the Thalis andAristeia programs cofinancedby EU-ESF andtheGreek NSRF;the NationalPrioritiesResearch Programby Qatar National Research Fund; the Programa Clarín-COFUND del Principado de Asturias; the Rachadapisek Sompot Fund for Post-doctoralFellowship,ChulalongkornUniversity(Thailand);the Chu-lalongkorn Academic into Its 2nd Century Project Advancement Project(Thailand);andtheWelchFoundation,contractC-1845. References
[1] E.Andersen,etal.,Enhancementofcentral,andyieldsinPb–Pb colli-sionsat158AGeV/c,Phys.Lett.B433(1998)209,http://dx.doi.org/10.1016/ S0370-2693(98)00689-3.
[2] J.Adams,etal.,STAR,Experimentalandtheoreticalchallengesinthesearchfor thequarkgluonplasma:TheSTARCollaboration’scriticalassessmentofthe evidencefromRHICcollisions,Nucl.Phys.A757(2005)102,http://dx.doi.org/ 10.1016/j.nuclphysa.2005.03.085,arXiv:nucl-ex/0501009.
[3] J.Rafelski,B.Muller,Strangenessproductioninthequark–gluonplasma,Phys. Rev.Lett.48(1982)1066,http://dx.doi.org/10.1103/PhysRevLett.48.1066. [4] B.I.Abelev,etal.,STAR,EnhancedstrangebaryonproductioninAu+Au
colli-sionscomparedtop+p at√sN N=200 GeV,Phys.Rev.C77(2008)044908,
http://dx.doi.org/10.1103/PhysRevC.77.044908,arXiv:0705.2511.
[5] E. Andersen, et al., WA97, Strangeness enhancement at mid-rapidity inPb Pbcollisionsat 158-A-GeV/c,Phys.Lett.B449(1999)401,http://dx.doi.org/ 10.1016/S0370-2693(99)00140-9.
[6] J. Adams, et al., STAR, Multistrange baryon production inAu–Au collisions at √sN N=130 GeV, Phys. Rev. Lett. 92 (2004) 182301, http://dx.doi.org/
10.1103/PhysRevLett.92.182301,arXiv:nucl-ex/0307024.
[7] K. Adcox, et al., PHENIX, Formation of dense partonic matter in rela-tivistic nucleus–nucleus collisions at RHIC: experimentalevaluation by the PHENIXCollaboration,Nucl.Phys.A757(2005)184,http://dx.doi.org/10.1016/ j.nuclphysa.2005.03.086,arXiv:nucl-ex/0410003.
[8] CMSCollaboration, Observationoflong-rangenear-sideangular correlations inproton–protoncollisionsat theLHC,J.HighEnergy Phys.09(2010)091, http://dx.doi.org/10.1007/JHEP09(2010)091,arXiv:1009.4122.
[9] CMSCollaboration,Observationoflong-range,near-sideangularcorrelations inpPbcollisionsattheLHC,Phys.Lett.B718(2013)795,http://dx.doi.org/ 10.1016/j.physletb.2012.11.025,arXiv:1210.5482.
[10] ATLASCollaboration,Observationofassociatednear-sideandaway-side long-rangecorrelations in√sNN=5.02 TeV proton–leadcollisions with the
AT-LAS detector, Phys. Rev.Lett. 110(2013) 182302, http://dx.doi.org/10.1103/ PhysRevLett.110.182302,arXiv:1212.5198.
[11] ALICECollaboration, Long-rangeangular correlations onthe nearand away side in pPb collisions at √sNN=5.02 TeV, Phys. Lett. B 719 (2013) 29,
http://dx.doi.org/10.1016/j.physletb.2013.01.012,arXiv:1212.2001.
[12] K.Dusling, W. Li, B. Schenke, Novel collective phenomena in high-energy proton–protonand proton–nucleuscollisions,Int.J.Mod. Phys.E 25(2016) 1630002,http://dx.doi.org/10.1142/S0218301316300022,arXiv:1509.07939. [13] P.Bo ˙zek,Collectiveflowin p–Pbandd–Pbcollisionsat TeVenergies,Phys.
Rev.C85(2012)014911,http://dx.doi.org/10.1103/PhysRevC.85.014911,arXiv: 1112.0915.
[14] P.Bo ˙zek, W.Broniowski, Correlationsfrom hydrodynamic flow inpPb col-lisions, Phys. Lett. B 718 (2013) 1557, http://dx.doi.org/10.1016/j.physletb. 2012.12.051,arXiv:1211.0845.
[15] A.Bzdak,B.Schenke,P.Tribedy,R.Venugopalan,Initialstategeometryandthe roleofhydrodynamicsinproton–proton,proton–nucleusanddeuteron–nucleus
collisions,Phys.Rev.C87(2013)064906,http://dx.doi.org/10.1103/PhysRevC. 87.064906,arXiv:1304.3403.
[16] K.Werner,I.Karpenko,T.Pierog,“Ridge”inproton–protonscatteringat7 TeV, Phys. Rev. Lett. 106 (2011) 122004, http://dx.doi.org/10.1103/PhysRevLett. 106.122004,arXiv:1011.0375.
[17] K.Dusling,R.Venugopalan,ExplanationofsystematicsofCMSp+Pbhigh mul-tiplicitydi-hadrondataat √sNN=5.02 TeV,Phys.Rev.D87(2013)054014,
http://dx.doi.org/10.1103/PhysRevD.87.054014,arXiv:1211.3701.
[18] K.Dusling,R.Venugopalan,EvidenceforBFKLandsaturationdynamicsfrom dihadronspectraattheLHC,Phys.Rev.D87(2013)051502,http://dx.doi.org/ 10.1103/PhysRevD.87.051502,arXiv:1210.3890.
[19] A.Dumitru,L.McLerran,V.Skokov,Azimuthalasymmetriesandtheemergence of“collectivity”frommulti-particlecorrelationsinhigh-energypAcollisions, Phys.Lett.B743(2015)134,http://dx.doi.org/10.1016/j.physletb.2015.02.046, arXiv:1410.4844.
[20] M.Gyulassy,P.Levai,I.Vitev,T.S.Biro,Non-Abelianbremsstrahlungand az-imuthalasymmetriesinhighenergy p+A reactions,Phys.Rev.D90(2014) 054025,http://dx.doi.org/10.1103/PhysRevD.90.054025,arXiv:1405.7825. [21] W.Li,Observationofa‘ridge’correlationstructureinhighmultiplicityproton–
proton collisions: a brief review, Mod. Phys. Lett. A 27 (2012) 1230018, http://dx.doi.org/10.1142/S0217732312300182,arXiv:1206.0148.
[22] L. He,T.Edmonds,Z.-W.Lin,F.Liu,D.Molnar,F.Wang,Anisotropicparton escape isthedominantsourceofazimuthalanisotropyintransportmodels, Phys. Lett.B753(2016)506,http://dx.doi.org/10.1016/j.physletb.2015.12.051, arXiv:1502.05572.
[23] ALICE Collaboration,Centralitydependence ofπ, K ,p production inPb–Pb collisionsat√sNN=2.76 TeV,Phys.Rev.C88(2013)044910,http://dx.doi.org/
10.1103/PhysRevC.88.044910,arXiv:1303.0737.
[24] ALICE Collaboration, Elliptic flow of identified hadrons inPb–Pb collisions at √sNN=2.76 TeV,J. High Energy Phys. 06 (2015)190, http://dx.doi.org/
10.1007/JHEP06(2015)190,arXiv:1405.4632.
[25] H.Song,S.Bass,U.W.Heinz,Spectraandellipticflowforidentifiedhadronsin 2.76ATeVPb+Pbcollisions,Phys.Rev.C89(2014)034919,http://dx.doi.org/ 10.1103/PhysRevC.89.034919,arXiv:1311.0157.
[26] X.Zhu,F.Meng,H.Song,Y.-X.Liu,Hybridmodelapproachforstrangeand multistrangehadronsin2.76ATeVPb+Pbcollisions,Phys. Rev.C91(2015) 034904,http://dx.doi.org/10.1103/PhysRevC.91.034904,arXiv:1501.03286. [27] ALICECollaboration,Multiplicitydependenceofpion,kaon,protonandlambda
productioninp–pbcollisionsat√sNN=5.02 TeV,Phys.Lett.B728(2014)25,
http://dx.doi.org/10.1016/j.physletb.2013.11.020,arXiv:1307.6796.
[28] CMSCollaboration,Studyoftheproductionofchargedpions,kaons,and pro-tons inpPbcollisionsat √sNN=5.02 TeV,Eur.Phys. J.C74 (2014)2847,
http://dx.doi.org/10.1140/epjc/s10052-014-2847-x,arXiv:1307.3442.
[29] ALICE Collaboration,Long-rangeangularcorrelations ofπ,Kandpinp–Pb collisionsat√sNN=5.02 TeV,Phys.Lett.B726(2013)164,http://dx.doi.org/
10.1016/j.physletb.2013.08.024,arXiv:1307.3237.
[30] CMS Collaboration, Long-rangetwo-particle correlations ofstrange hadrons with charged particles in pPb and PbPb collisions at LHC energies, Phys. Lett.B742(2015)200,http://dx.doi.org/10.1016/j.physletb.2015.01.034, arXiv:1409.3392.
[31] E.Shuryak,I.Zahed,High-multiplicity pp andp A collisions:hydrodynamics atitsedge,Phys.Rev.C88(2013)044915,http://dx.doi.org/10.1103/PhysRevC. 88.044915,arXiv:1301.4470.
[32] E.Schnedermann,J.Sollfrank,U.Heinz,Thermalphenomenologyofhadrons from200A GeV S+Scollisions,Phys.Rev.C48(1993)2462,http://dx.doi.org/ 10.1103/PhysRevC.48.2462,arXiv:nucl-th/9307020.
[33] C. Albajar, et al., UA1, A study of the general characteristics of proton– antiprotoncollisionsat√s=0.2 TeV to0.9TeV,Nucl.Phys.B335(1990)261, http://dx.doi.org/10.1016/0550-3213(90)90493-W.
[34] T. Alexopoulos, et al., Multiplicity dependence of the transverse momen-tumspectrumforcentrallyproducedhadronsinantiproton–protoncollisions at √s=1.8 TeV,Phys. Rev.Lett. 60(1988) 1622, http://dx.doi.org/10.1103/ PhysRevLett.60.1622.
[35] B.I.Abelev,etal.,STAR,Systematicmeasurementsofidentifiedparticlespectra inpp,d+Au andAu+Au collisionsfromSTAR,Phys.Rev.C79(2009)034909, http://dx.doi.org/10.1103/PhysRevC.79.034909,arXiv:0808.2041.
[36] A.OrtizVelasquez,P.Christiansen,E.CuautleFlores,I.MaldonadoCervantes, G. Pai ´c, Color reconnection and flowlike patterns in pp collisions, Phys. Rev.Lett.111(2013)042001,http://dx.doi.org/10.1103/PhysRevLett.111.042001, arXiv:1303.6326.
[37] P.Bo ˙zek,A.Bzdak,V.Skokov,Therapiditydependenceoftheaverage trans-versemomentuminp+Pbcollisionsat theLHC:thecolorglasscondensate versushydrodynamics,Phys.Lett.B728(2014)662,http://dx.doi.org/10.1016/ j.physletb.2013.12.034,arXiv:1309.7358.
[38] CMS Collaboration, Description and performance of track and primary-vertex reconstruction with the CMS tracker, J. Instrum. 9 (2014) P10009, http://dx.doi.org/10.1088/1748-0221/9/10/P10009,arXiv:1405.6569.
ton and particle production in high-energy hadronic and nuclear colli-sions, Comput. Phys. Commun. 83 (1994) 307, http://dx.doi.org/10.1016/ 0010-4655(94)90057-4,arXiv:nucl-th/9502021.
[46] T. Sjöstrand,S. Mrenna, P.Skands,PYTHIA 6.4physics and manual,J. High EnergyPhys.05(2006)026,http://dx.doi.org/10.1088/1126-6708/2006/05/026, arXiv:hep-ph/0603175.
[47] T.Sjöstrand,S.Mrenna,P.Skands,AbriefintroductiontoPYTHIA8.1,Comput. Phys. Commun. 178 (2008) 852, http://dx.doi.org/10.1016/j.cpc.2008.01.036, arXiv:0710.3820.
quarkgluonplasma,Annu.Rev.Nucl.Part.Sci.58(2008)177,http://dx.doi.org/ 10.1146/annurev.nucl.58.110707.171134,arXiv:0807.4939.
[54] CMSCollaboration,Studyoftheinclusiveproductionofchargedpions,kaons, and protons in pp collisions at √s=0.9, 2.76, and 7 TeV, Eur. Phys. J. C 72 (2012) 2164, http://dx.doi.org/10.1140/epjc/s10052-012-2164-1, arXiv: 1207.4724.
[55] ALICECollaboration,ProductionofK∗(892)0andφ(1020)inp–Pbcollisionsat
√
sNN=5.02 TeV,Eur.Phys.J.C76(2016)245,http://dx.doi.org/10.1140/epjc/
s10052-016-4088-7,arXiv:1601.07868.
TheCMSCollaboration
V. Khachatryan,
A.M. Sirunyan,
A. Tumasyan
YerevanPhysicsInstitute,Yerevan,Armenia
W. Adam,
E. Asilar,
T. Bergauer,
J. Brandstetter,
E. Brondolin,
M. Dragicevic,
J. Erö,
M. Flechl,
M. Friedl,
R. Frühwirth
1,
V.M. Ghete,
C. Hartl,
N. Hörmann,
J. Hrubec,
M. Jeitler
1,
A. König,
M. Krammer
1,
I. Krätschmer,
D. Liko,
T. Matsushita,
I. Mikulec,
D. Rabady,
N. Rad,
B. Rahbaran,
H. Rohringer,
J. Schieck
1,
J. Strauss,
W. Treberer-Treberspurg,
W. Waltenberger,
C.-E. Wulz
1InstitutfürHochenergiephysikderOeAW,Wien,Austria
V. Mossolov,
N. Shumeiko,
J. Suarez Gonzalez
NationalCentreforParticleandHighEnergyPhysics,Minsk,Belarus
S. Alderweireldt,
T. Cornelis,
E.A. De Wolf,
X. Janssen,
A. Knutsson,
J. Lauwers,
S. Luyckx,
M. Van De Klundert,
H. Van Haevermaet,
P. Van Mechelen,
N. Van Remortel,
A. Van Spilbeeck
UniversiteitAntwerpen,Antwerpen,Belgium
S. Abu Zeid,
F. Blekman,
J. D’Hondt,
N. Daci,
I. De Bruyn,
K. Deroover,
N. Heracleous,
J. Keaveney,
S. Lowette,
S. Moortgat,
L. Moreels,
A. Olbrechts,
Q. Python,
D. Strom,
S. Tavernier,
W. Van Doninck,
P. Van Mulders,
I. Van Parijs
VrijeUniversiteitBrussel,Brussel,Belgium
H. Brun,
C. Caillol,
B. Clerbaux,
G. De Lentdecker,
G. Fasanella,
L. Favart,
R. Goldouzian,
A. Grebenyuk,
G. Karapostoli,
T. Lenzi,
A. Léonard,
T. Maerschalk,
A. Marinov,
A. Randle-conde,
T. Seva,
C. Vander Velde,
P. Vanlaer,
R. Yonamine,
F. Zenoni,
F. Zhang
2UniversitéLibredeBruxelles,Bruxelles,Belgium
L. Benucci,
A. Cimmino,
S. Crucy,
D. Dobur,
A. Fagot,
G. Garcia,
M. Gul,
J. Mccartin,
A.A. Ocampo Rios,
D. Poyraz,
D. Ryckbosch,
S. Salva,
R. Schöfbeck,
M. Sigamani,
M. Tytgat,
W. Van Driessche,
E. Yazgan,
N. Zaganidis
The CMS Collaboration / Physics Letters B 768 (2017) 103–129 115
C. Beluffi
3,
O. Bondu,
S. Brochet,
G. Bruno,
A. Caudron,
L. Ceard,
S. De Visscher,
C. Delaere,
M. Delcourt,
L. Forthomme,
B. Francois,
A. Giammanco,
A. Jafari,
P. Jez,
M. Komm,
V. Lemaitre,
A. Magitteri,
A. Mertens,
M. Musich,
C. Nuttens,
K. Piotrzkowski,
L. Quertenmont,
M. Selvaggi,
M. Vidal Marono,
S. Wertz
UniversitéCatholiquedeLouvain,Louvain-la-Neuve,Belgium
N. Beliy,
G.H. Hammad
UniversitédeMons,Mons,Belgium
W.L. Aldá Júnior,
F.L. Alves,
G.A. Alves,
L. Brito,
M. Correa Martins Junior,
M. Hamer,
C. Hensel,
A. Moraes,
M.E. Pol,
P. Rebello Teles
CentroBrasileirodePesquisasFisicas,RiodeJaneiro,Brazil
E. Belchior Batista Das Chagas,
W. Carvalho,
J. Chinellato
4,
A. Custódio,
E.M. Da Costa,
D. De Jesus Damiao,
C. De Oliveira Martins,
S. Fonseca De Souza,
L.M. Huertas Guativa,
H. Malbouisson,
D. Matos Figueiredo,
C. Mora Herrera,
L. Mundim,
H. Nogima,
W.L. Prado Da Silva,
A. Santoro,
A. Sznajder,
E.J. Tonelli Manganote
4,
A. Vilela Pereira
UniversidadedoEstadodoRiodeJaneiro,RiodeJaneiro,Brazil
S. Ahuja
a,
C.A. Bernardes
b,
A. De Souza Santos
b,
S. Dogra
a,
T.R. Fernandez Perez Tomei
a,
E.M. Gregores
b,
P.G. Mercadante
b,
C.S. Moon
a,
5,
S.F. Novaes
a,
Sandra S. Padula
a,
D. Romero Abad
b,
J.C. Ruiz Vargas
aUniversidadeEstadualPaulista,SãoPaulo,Brazil bUniversidadeFederaldoABC,SãoPaulo,Brazil
A. Aleksandrov,
R. Hadjiiska,
P. Iaydjiev,
M. Rodozov,
S. Stoykova,
G. Sultanov,
M. Vutova
InstituteforNuclearResearchandNuclearEnergy,Sofia,Bulgaria
A. Dimitrov,
I. Glushkov,
L. Litov,
B. Pavlov,
P. Petkov
UniversityofSofia,Sofia,Bulgaria
W. Fang
6BeihangUniversity,Beijing,China
M. Ahmad,
J.G. Bian,
G.M. Chen,
H.S. Chen,
M. Chen,
T. Cheng,
R. Du,
C.H. Jiang,
D. Leggat,
R. Plestina
7,
F. Romeo,
S.M. Shaheen,
A. Spiezia,
J. Tao,
C. Wang,
Z. Wang,
H. Zhang
InstituteofHighEnergyPhysics,Beijing,China
C. Asawatangtrakuldee,
Y. Ban,
Q. Li,
S. Liu,
Y. Mao,
S.J. Qian,
D. Wang,
Z. Xu
StateKeyLaboratoryofNuclearPhysicsandTechnology,PekingUniversity,Beijing,China
C. Avila,
A. Cabrera,
L.F. Chaparro Sierra,
C. Florez,
J.P. Gomez,
B. Gomez Moreno,
J.C. Sanabria
UniversidaddeLosAndes,Bogota,Colombia
N. Godinovic,
D. Lelas,
I. Puljak,
P.M. Ribeiro Cipriano
UniversityofSplit,FacultyofElectricalEngineering,MechanicalEngineeringandNavalArchitecture,Split,Croatia
Z. Antunovic,
M. Kovac
UniversityofSplit,FacultyofScience,Split,Croatia
V. Brigljevic,
D. Ferencek,
K. Kadija,
J. Luetic,
S. Micanovic,
L. Sudic
B. Calpas,
M. Kadastik,
M. Murumaa,
L. Perrini,
M. Raidal,
A. Tiko,
C. Veelken
NationalInstituteofChemicalPhysicsandBiophysics,Tallinn,Estonia
P. Eerola,
J. Pekkanen,
M. Voutilainen
DepartmentofPhysics,UniversityofHelsinki,Helsinki,Finland
J. Härkönen,
V. Karimäki,
R. Kinnunen,
T. Lampén,
K. Lassila-Perini,
S. Lehti,
T. Lindén,
P. Luukka,
T. Peltola,
J. Tuominiemi,
E. Tuovinen,
L. Wendland
HelsinkiInstituteofPhysics,Helsinki,Finland
J. Talvitie,
T. Tuuva
LappeenrantaUniversityofTechnology,Lappeenranta,Finland
M. Besancon,
F. Couderc,
M. Dejardin,
D. Denegri,
B. Fabbro,
J.L. Faure,
C. Favaro,
F. Ferri,
S. Ganjour,
A. Givernaud,
P. Gras,
G. Hamel de Monchenault,
P. Jarry,
E. Locci,
M. Machet,
J. Malcles,
J. Rander,
A. Rosowsky,
M. Titov,
A. Zghiche
DSM/IRFU,CEA/Saclay,Gif-sur-Yvette,France
A. Abdulsalam,
I. Antropov,
S. Baffioni,
F. Beaudette,
P. Busson,
L. Cadamuro,
E. Chapon,
C. Charlot,
O. Davignon,
L. Dobrzynski,
R. Granier de Cassagnac,
M. Jo,
S. Lisniak,
P. Miné,
I.N. Naranjo,
M. Nguyen,
C. Ochando,
G. Ortona,
P. Paganini,
P. Pigard,
S. Regnard,
R. Salerno,
Y. Sirois,
T. Strebler,
Y. Yilmaz,
A. Zabi
LaboratoireLeprince-Ringuet,EcolePolytechnique,IN2P3-CNRS,Palaiseau,France
J.-L. Agram
14,
J. Andrea,
A. Aubin,
D. Bloch,
J.-M. Brom,
M. Buttignol,
E.C. Chabert,
N. Chanon,
C. Collard,
E. Conte
14,
X. Coubez,
J.-C. Fontaine
14,
D. Gelé,
U. Goerlach,
C. Goetzmann,
A.-C. Le Bihan,
J.A. Merlin
15,
K. Skovpen,
P. Van Hove
InstitutPluridisciplinaireHubertCurien,UniversitédeStrasbourg,UniversitédeHauteAlsaceMulhouse,CNRS/IN2P3,Strasbourg,France
S. Gadrat
CentredeCalculdel’InstitutNationaldePhysiqueNucleaireetdePhysiquedesParticules,CNRS/IN2P3,Villeurbanne,France
S. Beauceron,
C. Bernet,
G. Boudoul,
E. Bouvier,
C.A. Carrillo Montoya,
R. Chierici,
D. Contardo,
B. Courbon,
P. Depasse,
H. El Mamouni,
J. Fan,
J. Fay,
S. Gascon,
M. Gouzevitch,
B. Ille,
F. Lagarde,
I.B. Laktineh,
M. Lethuillier,
L. Mirabito,
A.L. Pequegnot,
S. Perries,
A. Popov
16,
J.D. Ruiz Alvarez,
D. Sabes,
V. Sordini,
M. Vander Donckt,
P. Verdier,
S. Viret
UniversitédeLyon,UniversitéClaudeBernardLyon1,CNRS-IN2P3,InstitutdePhysiqueNucléairedeLyon,Villeurbanne,France