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Letters
B
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Jet-like
correlations
with
neutral
pion
triggers
in
pp
and
central
Pb–Pb
collisions
at
2.76 TeV
.
ALICE
Collaboration
a
r
t
i
c
l
e
i
n
f
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a
b
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Articlehistory:
Received29August2016
Receivedinrevisedform10October2016 Accepted18October2016
Availableonline24October2016 Editor:L.Rolandi
We presentmeasurementsoftwo-particlecorrelationswithneutralpiontrigger particlesoftransverse momenta8<ptrigT <16 GeV/c andassociated chargedparticlesof0.5<passoc
T <10 GeV/c versus the azimuthalangledifference
ϕ
atmidrapidityinppandcentralPb–Pbcollisionsat√sNN=2.76 TeV with ALICE.Thenewmeasurementsexploitassociatedchargedhadronsdownto0.5 GeV/c,whichsignificantly extendsourpreviousmeasurementthatonlyusedchargedhadronsabove3 GeV/c.Aftersubtractingthe contributionsofthe flowbackground,v2to v5,theper-triggeryieldsare extractedfor |ϕ
|<0.7 on thenearand for|ϕ
−π
|<1.1 ontheawayside.Theratioofper-triggeryieldsinPb–Pbtothosein ppcollisions,IAA,ismeasuredonthenearandawaysideforthe0–10% mostcentral Pb–Pbcollisions. On theawayside,theper-triggeryieldsinPb–Pbarestronglysuppressedtothelevelof IAA≈0.6 for passocT >3 GeV/c,whilewithdecreasing momentaanenhancementdevelopsreachingabout 5 at low passoc
T .Onthenearside,anenhancementofIAAbetween1.2 atthehighestto1.8 atthelowestpassocT is observed. Thedata are comparedto parton-energy-loss predictionsof the JEWELand AMPT event generators,aswellastoaperturbativeQCDcalculationwithmedium-modifiedfragmentationfunctions. Allcalculationsqualitativelydescribetheaway-sidesuppressionathighpassoc
T .OnlyAMPTcapturesthe enhancementatlow passocT ,bothonthenearandaway side.However, italsounderpredicts IAA above 5 GeV/c,inparticularonthenear-side.
©2016TheAuthor(s).PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense (http://creativecommons.org/licenses/by/4.0/).FundedbySCOAP3.
1. Introduction
Strongly interacting matter consisting of deconfined quarks andgluons, the quark–gluon plasma (QGP), is produced in high-energyheavy-ion (HI)collisions attheRelativisticHeavy Ion Col-lider (RHIC)[1–4] andatthe LargeHadronCollider (LHC)[5–13]. Among others, jet quenching [14,15],the phenomenon that high transversemomentum (pT)partonssufferenergylossby medium-induced gluonradiation [16,17]andcollisions withmedium con-stituents[18,19],iswidelyconsidered asstrongevidenceforQGP formation.Jet quenchinghasbeen observedatRHIC [20–37] and attheLHC[5–7,38–51]viameasurementsofinclusivehadronand jet productionathigh pT,di-hadron angularcorrelations and di-jetenergyimbalance,andviathemodificationofjetfragmentation functions.
Inparticular,measurementsusingtwo-particleangular correla-tions betweentrigger (high-pT) particles andassociated particles have been extensively used to search for remnants of the radi-atedenergy andthemedium responseto thehigh-pT parton. By varying the transverse momentum for trigger (ptrigT ) and
associ- E-mailaddress:alice-publications@cern.ch.
ated (passocT ) particles one can probe different momentum scales to study theinterplay of softandhard processes.At RHIC, for a relatively low momentum range of ptrigT and passoc
T below about
4 GeV
/
c,two-particle azimuthal anglecorrelationswerefound to be broadened andexhibiting a double-shoulder structure on the away side[29,32].Thesestructureswere originallydescribed em-ployingavarietyofdifferentmechanisms,like ˇCerenkovgluon ra-diation[52],largeanglegluonradiation[53,54],Machcone shock-wave [55], and jets deflected by the medium [56]. Later it was understood that azimuthal correlations spanning a long-range in pseudorapidity (η
) are affected not only by the second (v2) but alsohigher-orderflowharmonics (vn,n≥
3),whichoriginatefrom anisotropicpressuregradientswithrespecttotheinitial-state sym-metry planes[57,58].Takingintoaccountthesehigherharmonics can accountformostofthe observedstructuresinthemeasured two-particle angular correlations. Thus, possible jet-medium ef-fects atlow pT need to be studied after takinginto account the anisotropicflowbackgroundincludinghigherharmonics.In this article, we presentmeasurements of two-particle cor-relations with neutral pions (
π
0) of transverse momenta 8<
ptrigT<
16 GeV/
c astriggerandchargedhadronsof0.
5<
passocT
<
10 GeV/
c asassociated particles versus the azimuthal angle dif-http://dx.doi.org/10.1016/j.physletb.2016.10.0480370-2693/©2016TheAuthor(s).PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).Fundedby SCOAP3.
ference
ϕ
at midrapidity in pp andcentral Pb–Pb collisionsat√
sNN
=
2.
76 TeV withALICE[59]attheLHC.Theneutralpionsare identified in the di-photon decay channel using a shower-shape and invariant-mass based identification technique of energy de-positsreconstructedwiththeElectromagneticCalorimeter(EMCal). The newmeasurement exploits associatedhadrons reconstructed withtheInner Tracking System (ITS)and TimeProjection Cham-ber (TPC) down to 0.
5 GeV/
c, and hence significantly extends ourpreviousmeasurement[40],whichonlyusedchargedhadrons above 3 GeV/
c, to low pTassoc. Furthermore,usingπ
0 as a refer-enceavoidsadmixturesfromchangingparticlecompositionofthe triggerparticle,andhenceshould simplifycomparisons with cal-culations.Aftersubtracting thedominantbackground,induced by theanisotropicflowharmonicsv2 to v5,theper-triggeryieldsare extractedfor|
ϕ
|
<
0.
7 on thenear andfor|
ϕ
−
π
|
<
1.
1 on theawayside.Theper-triggeryieldmodificationfactor,IAA, quan-tified as the ratio of per-trigger yields in Pb–Pb to those in pp collisions, ismeasured on thenear andaway side forthe 0–10% mostcentral Pb–Pb collisions. The dataare compared to parton-energy-lossmodelpredictionsusingtheJEWEL[60]andAMPT[61]eventgenerators,aswell asto aperturbative QCD (pQCD) calcu-lation[62] withmedium-modifiedfragmentationfunctions. Previ-ouslyatRHIC,
π
0-hadroncorrelationswerealsomeasuredtostudy IAA and jet fragmentation [35,37]. Compared to these measure-ments,we lower thethresholdforassociated chargedhadronsto 0.
5 GeV/
c andsubstracttheharmonicflowcontributionsuptothe fifth order. Besides providingaccess to medium properties, mea-surementsofπ
0-hadron correlationsdetermine the most impor-tantbackgroundcontribution ofdirectphoton–hadron correlation measurements[36,37].Thearticle is organized asfollows.Section 2briefly describes theexperimentalsetupanddatasetsused.Section3discussesthe neutral pion identification technique, the
π
0-hadron correlation and IAA measurements. Section 4presents thedata and compar-isonwithmodelcalculations.Section5providesasummary. 2. ExperimentalsetupanddatasetsAdetaileddescription oftheALICEdetectorsystemsandtheir performance can be found in [59,63].The detectors used forthe presentanalysisare briefly described here. Thesearethe ITSand theTPCfor chargedparticletracking, theEMCal forneutralpion reconstruction, and the forward scintillator arrays (V0) and two Zero Degree Calorimeters (ZDC) for online triggering as well as eventselectionandcharacterization.
The tracking detectors are located inside a large solenoidal magnetprovidingahomogeneousfieldstrengthof0
.
5 T,and nom-inallyprovide reconstructed tracks within|
η
|
<
0.
9 over the full azimuth.TheITSconsistsofsixlayersofsilicondetectors.Thetwo inner layers are the SiliconPixel Detector (SPD),the two middle layers the Silicon DriftDetector (SDD), and two outer layers the SiliconStripDetector (SSD). The TPCprovides trackingand parti-cleidentificationbymeasuring the curvatureofthetracks inthe magneticfield andthe specificenergy lossdE/
dx.The combined informationoftheITSandTPCallows one todetermine the mo-mentaofchargedparticlesintheregionof0.
15 to100 GeV/
c witharesolutionof1 to10%,respectively.TheEMCalisaPb-scintillator sampling calorimeter used primarily to measure the energy de-posit (cluster)inducedbyelectrons,positronsandphotons.It con-sistsof 10 active supermodules witha total of 11520 individual cells,eachcoveringanangularregionof
ϕ
×
η
=
0.
014×
0.
014, andspans intotal 100 degrees in azimuthand|
η
|
<
0.
7. Its en-ergyresolutioncanbeparameterizedas σEE
=
A2+
B2 E+
C2 E2 withA
=
1.
68,B=
11.
27 andC=
4.
84 forthedepositedenergyE giveninGeV [64].The V0detectors, whichare primarily usedfor trig-gering,event selection andeventcharacterization, consist oftwo arraysof32 scintillatortileseach,coveringthefullazimuthwithin 2
.
8<
η
<
5.
1 (V0-A)and−
3.
7<
η
<
−
1.
7 (V0-C).Inaddition,two neutronZDCs,locatedat+
114 m (ZNA) and−
114 m (ZNC)from the interactionpoint, areused foreventselectionin Pb–Pb colli-sions.The data used for the present analysis were collected during the 2011 LHC data taking periods with pp and Pb–Pb collisions atthecentre-of-massenergypernucleon–nucleonpairof
√
sNN=
2.
76 TeV.In thecaseofppcollisions, theanalyzeddatawere se-lectedbytheEMCallevel-0triggerrequiringasingleshowerwith an energy larger than 3.
0 GeV, in additionto the minimum bias triggercondition (a hit ineitherV0-A,V0-C,orSPD). Inthecase ofPb–Pb collisions,thedatawereselectedbyanonlinetrigger de-signedtoselectcentralcollisions.Thetriggerwasselectingevents based onthe sumofamplitudesintegrated inone LHC clock cy-cle (25 ns)onlineintheforwardV0detectorsaboveafixed thresh-old. Offline when one can integrate the signal over severalclock cycles the trigger was found to be 100% efficient for 0–8% and about80% for8–10% mostcentralPb–Pb collisions.Theinefficiency inthe8–10%rangewasestimatedtoleadtoanegligibledifference ofless than 1% inthe measured per-triggeryield. Forthe offline analysis0–10% centralcollisions wereused asexplainedin detail inRef.[65].Inboth,theppandPb–Pb analyses,onlyeventswith areconstructedvertexin|
zvtx|
<
10 cm withrespecttothe nomi-nalinteractionvertexpositionalongthebeamdirectionwereused. Afterallselection criteria,about440 Keventsinpp (correspond-ingto0.
5/
nb)and5.2 M (correspondingto0.
6/
μb)inPb–Pb were keptforfurtheranalysis.Neutralpionsin
|
η
|
<
0.
7 areidentifiedintheEMCalusingthe so called“cluster splitting”method, which aims to reconstructa high pTπ
0 (above 6 GeV/
c) by first capturingboth decay pho-tons in a single, so called “merged” cluster, which then is split into two clusters, as further explained below. Clusters are ob-tainedby groupingall neighboringcells, whosecalibratedenergy is above 50 (150) MeV, starting from a seed cell with at least 100 (300)MeVforpp (Pb–Pb)data.Anon-linearitycorrection, de-rived from electron test beam data, ofabout 7% at 0.
5 GeV and negligibleabove3 GeV,isappliedtothereconstructedcluster en-ergy.Clustersfromneutralparticlesareidentifiedbyrequiringthat thedistancebetweentheextrapolatedtrackpositions onthe EM-Calsurface andtheclusterfulfillstheconditionsη
>
0.
025 andϕ
>
0.
03 forpp,andη
>
0.
03 andϕ
>
0.
035 forPb–Pb data. Charged hadronsreconstructed withthe ITSandTPCareselected by a hybridapproach designedto compensate localinefficiencies in the ITS. Twodistinct track classesare accepted in the hybrid approach [63]: (i) trackscontaining atleast threehitsin theITS, includingatleastonehitintheSPD,withmomentumdetermined without the primary vertex constraint, and (ii) tracks containing lessthanthreehitsintheITSornohit intheSPD,withthe pri-mary vertex included in the momentum determination. Class (i) contains 90% and class (ii) 10% of all accepted tracks, indepen-dentofpT.TrackcandidatesarefurtherrequiredtohaveaDistance ofClosestApproach (DCA)totheprimary vertexlessthan2.
4 cm inthe planetransverse tothebeam, andlessthan3.
0 cm inthe beamdirection.Acceptedtracksarerequiredtobein|
η
|
<
0.
8 andpT
>
0.
5 GeV/
c.Correctionsforthedetectorresponseareobtained fromMonteCarlo (MC)detectorsimulations,reproducingthesame conditionsasduring datataking. Ingeneral, weusePYTHIA6[66]for pp and HIJING [67] for Pb–Pb collisions as eventgenerators, andGEANT3[68]forparticletransportthroughthedetector.
Fig. 1. Clustershowershape (leftpanel)andinvariantmass (rightpanel)distributionsfor8<E<16 GeV andNLM=2 comparedbetweenreconstructedπ0candidatesin
dataandclustersoriginatingfromπ0inHIJINGfor0–10% Pb–Pb collisions.Thedistributionsareshownafterapplyingtheenergy-dependentselectionsonσ2
longandMγ γ.
3. Dataanalysis
Neutral pions are detected in the two photon decay channel
π
0→
γ γ
measuredintheEMCalusingMπ0
=
2E1E2
(
1−
cosθ
12) ,
(1) where Mπ0 is the reconstructedπ
0 mass, E1 and E2 are the measured energies of two photons, andθ
12 is the opening an-gle between the photons measured in the laboratory frame. The opening angle decreases with increasingπ
0 momentum due to the larger Lorentz boost. When the energy of theπ
0 is larger than5–6 GeV, thedecayphotonsarecloseenough thatthe elec-tromagnetic showersthey induce start to overlap in neighboring calorimetercellsoftheEMCal.Above 9 GeV more than half of the
π
0 deposit their energy in a single merged cluster. Below 15 GeV merged clusters fromπ
0 mostly havetwolocalmaxima (NLM
=
2), whilewith increas-ingenergytheshowersfurthermerge,leading tomergedclusters fromπ
0withmainlyonelocalmaximum (NLM
=
1)above25 GeV. Merged clusters can be identified based on their shower shape, characterized by the larger principal component squared of the cluster two-dimensionalarea inη
andφ
,σ
2long [69].To discrimi-natetwo-photonmergedclustersfromsingle-photonclusters,
σ
2long isgenerallyrequiredtobegreaterthan0
.
3.Fromdetector simula-tionswededucedatighterselection,requiringλ
min<
σ
long2< λ
max, wherethe minimumandmaximum ranges areparameterized by exp(
a+
b E)
+
c+
dE+
e/
E as afunctionofcluster energy E (in GeV).Forλ
min,weusea=
2.
135,b= −
0.
245,c=
d=
e=
0,while forλ
max the valuesdepend on thenumber oflocal minima,and are a=
0.
066,b= −
0.
020, c= −
0.
096, d=
0.
001, ande=
9.
91 for NLM=
1,anda=
0.
353,b= −
0.
0264,c= −
0.
524,d=
0.
006, ande=
21.
9 for NLM=
2.Within 8<
pT<
16 GeV/
c, the range forneutralpionsconsideredinthisanalysis,morethan80%ofthe clustershavetwolocalmaxima.Themerged clusteris subsequentlysplitinto twosub-clusters bygroupingneighboringcellsinto3
×
3 clusterscenteredaround thetwo highestcells (seeds)ofthe mergedcluster.Cells thatare neighbor ofboth seeds aresplit basedon thefractionof seedto cluster energy. To selectπ
0 candidates, we use a 3σ
-wide win-dow,M−
3σ
<
Mγ γ<
M+
3σ
,wherethe average (M) and thewidth (σ
)ofthemassdistributionobtainedfromGaussianfits depend on the energy of the cluster (in GeV), andare each pa-rameterizedasa+
bE. Thevaluesfora andb areobtainedfrom detectorsimulations forNLM=
1 and 2,respectively, andarethe same for pp and Pb–Pb data. In the pT range relevant for theanalysis, the parametersfor
Mare a=
0.
044 and b=
0.
005 forNLM
=
1,anda=
0.
115,b=
0.
001 for NLM=
2,whileforσ
they are a=
0.
012 andb=
0 for NLM=
1, anda=
0.
009, b=
0.
001 for NLM=
2.Fig. 1 showsacomparisonofσ
long2 and Mγ γ distri-butions for clusterswith 8<
E<
16 GeV and NLM=
2 between reconstructedπ
0 candidatesindataandclustersoriginatingfromπ
0 inHIJINGfor0–10% Pb–Pb collisions.Sincetheinvariantmass distribution is obtained by splitting individual clusters, there is nocombinatorialbackgroundbyconstruction.However,thereisof coursecontamination inthesignalregionforexamplefromdecay photons,whichneedstobeestimatedfromMonteCarlo.Ascommonlydone[70],theassociatedyieldpertriggerparticle
Y
(
ϕ
,
η
)
=
1 Ntrig d2Nassoc dϕ
dη
=
S(
η
,
ϕ
)
M(
η
,
ϕ
)
(2)isdefinedasthenumberofassociatedparticlesinintervalsof az-imuthal angledifference
ϕ
=
ϕ
trig−
ϕ
assoc and pseudo-rapidity differenceη
=
η
trig−
η
assoc relative to the number of trigger particles. The trigger acceptance is|
η
|
<
0.
7, while the associ-ated particle acceptance is|
η
|
<
0.
8. The acceptance corrected yieldcanbeobtainedfromtheratiooftwo-particlecorrelationsof same S andmixedeventsM.Thesignaldistribution S(
η
,
ϕ
)
=
1
/
Ntrigd2Nsame/
dη
dϕ
istheassociatedyield pertrigger parti-cleforparticlepairsfromthesameevent.Thebackground distri-butionM(
η
,
ϕ
)
=
α
d2Nmixed
/
dη
dϕ
correctsforpair accep-tanceandpairefficiency.Itisconstructedbycorrelatingthetrigger particles in one event with the associated particles from other events within similar multiplicity and z-vertex positionintervals. The factorα
is chosen to normalizethe background distribution such that it is unity for pairs where both particles go into ap-proximately the samedirection (i.e.ϕ
≈
0,
η
≈
0).To account for different pair acceptance andpair efficiency as a function ofzvtx,the yield is constructed foreach zvtx interval, and thefinal per-trigger yield is obtainedby calculatingthe weighted average of the zvtx intervals. The final results are integrated over
η
and providedasone-dimensionaldistribution,C(
ϕ
)
=
1Ntrig
dNassoc
dϕ ,for
8
<
ptrigT<
16 GeV/
c andvarious passocT intervalsbetween0.
5 and 10 GeV/
c.Corrections for the detector response, which include
π
0 re-construction efficiency and purity, charged-particle tracking effi-ciency andcontamination fromsecondaryparticles, aswell as pT resolution areobtainedfromdetectorsimulations. Theπ
0 recon-struction efficiency, whichis between 0.
2 and 0.
3 depending onpT and collision system, leads to only a smallcorrection on the measured correlations ofabout2%, since the per-triggeryield by
definition is largely insensitive to the inefficiency of finding the trigger particle. The
π
0 purity, which in the momentum range ofthe measurement isabout 90% in pp and85% in Pb–Pb colli-sions,affects themeasured correlations by 1%. The pT resolution ofreconstructedπ
0 estimatedfromdetectorsimulationsisabout 5% and10% forpp andPb–Pb collisions, respectively, slightly in-creasingwith pT.Thecharged-particletrackingefficiencyisabout 75–85% dependingon pT andcollisionsystem. Thecontamination bysecondaryparticlesfromparticle–materialinteractions, conver-sions,andweak-decay productsoflong-livedparticlesisbetween 4–8%. Both the tracking inefficiency and contamination, are cor-rectedforinthemeasured correlationsinintervalsof passocT .The trigger- and associated-particlepair pT resolutions lead to a cor-rectionoflessthan2
.
5%.Toobtain thejet-relatedcontribution fromthe measured per-triggeryields,oneusuallysubtractsnon-jetrelatedsourcesof par-ticleproduction,
J
(
ϕ
)
=
C(
ϕ
)
−
B(
ϕ
) ,
(3)where B
(
ϕ
)
denotes the background contribution. In pp colli-sions,typically auniformbackground (B0) originatingfrom com-binatoricsisconsidered,andestimatedemploying the zero-yield-at-minimum (ZYAM) method [29], i.e. essentially by estimatingB within 1
<
|
ϕ
|
<
π2. In Pb–Pb collisions, in addition to a largecombinatorial background,two-particle correlationsare sig-nificantly affected by anisotropic flow [71]. The anisotropic az-imuthalcorrelationsmodulatethebackgroundaccordingtoB
(
ϕ
)
=
B0 1+
2 n Vncos(
nϕ
)
,
(4)where Vn
≈
vntrig·
vassocn isapproximatelygivenby theproductof anisotropicflowcoefficientsfortriggerandassociatedparticlesat theirrespectivemomenta.Inthesubtraction,wetakeintoaccount themostdominantcontributions, v2 to v5,ignoring small devia-tionsfromfactorization[72].The dataof v2 forchargedparticles andfor charged pions, which are used instead of the v2 ofπ
0, aretakenfrom Ref.[73].For v3 to v5 thedatafromRef.[71] are usedforboththeneutralpionsandchargedparticles.TheconstantB0 isdeterminedbyanaverageofthreewaystoobtaintheZYAM value, namely by i) a fit in 1
<
|
ϕ
|
<
π2,ii) smallest 8 (outof 60)valuesinfullϕ
range,andiii) minimawithin1<
|
ϕ
|
<
π 2 plusthetwosmallestpointswithin 0.
2 aroundtheminimum. Fi-nally,thejet-likecorrelationyieldsonthenearandawaysideare estimatedfromEq.(3)by integratingaregion of|
ϕ
|
<
0.
7 and|
ϕ
−
π
|
<
1.
1,respectively.Modificationofthejet-likepairyields canthenbequantifiedastheratiooftheintegratedjet-likeyields inAAoverpp,as IAA=
X JAA(
ϕ
)
dϕ
/
X Jpp(
ϕ
)
dϕ
,
(5)where X denotes eitherthe near-side (NS)ortheaway-side (AS) region.
4. Results
The per-trigger yields for neutral pion trigger particles with 8
<
ptrigT<
16 GeV/
c and associatedchargedparticles with0.
5<
passocT
<
1,1<
passocT<
2,2<
passocT<
4 and4<
passocT<
6 GeV/
c arepresented inFig. 2 forpp andin Fig. 3 for0–10% most cen-tral Pb–Pb collisions. The estimated background from the ZYAM procedure is indicated by the dashed lines. As explained in the previous section,a uniformbackgroundis considered inthecaseTable 1
Summaryofsourcesandassignedsystematicuncertaintiesfortheper-triggeryield inpp,and0–10%Pb–Pb collisions,aswellasIAA.Foreachsourceofsystematic
un-certaintyandthetotaluncertaintylisted,themaximumvaluesofallpassocT intervals
aregiven.UncertaintiesontrackingefficiencyandMCclosurearecorrelatedinϕ. ForIAA,ppandPb–Pb yielduncertaintiesareassumedtobeindependent.
Source Y(ϕ)pp Y(ϕ)Pb–Pb IAA(NS) IAA(AS) Tracking efficiency 5.4% 6.5% 8.5% 8.5% MC closure 1.0% 2.0% 1.2% 1.2% TPC-only tracks 1.0% 3.5% 4.3% 3.8% Track contamination 1.0% 0.9% 1.1% 1.1% Shower shape (σ2 long) 1.2% 0.7% 3.4% 2.6%
Invariant mass window 1.3% 1.0% 3.5% 3.3% Neutral pion purity 0.3% 1.1% 0.6% 0.5% Pair pTresolution 1.0% 1.1% 0.3% 0.3%
Pedestal determination – – 9.4% 11.7%
Uncertainty on vn – – 7.1% 5.1%
Total 6.7% 7.4% 12.6% 15.0%
ofpp,whileforPb–Pb datainadditiontheanisotropicflow contri-butionsaretakenintoaccount.Sincethevn coefficientsaresmall at high-ptrigT and passocT , a nearly flat background is observed for the4
<
passocT<
6 GeV/
c case,eveninPb–Pb collisions.Severalsourcesofsystematicuncertaintyhavebeenconsidered. Since thereis a pT dependenceon theuncertainties, their maxi-mumcontributiontotheper-triggeryieldsinppandPb–Pb colli-sions,aswell asonthe IAA furtherdiscussedbelow,are givenin
Table 1.Thelargesteffecttotheper-triggeryieldsarisesfromthe uncertainty on the charged-particle tracking efficiency estimated from variations of the trackselection andresidual differences of MC closure tests. These uncertainties are correlated in
ϕ
, and theirvalues (addedinquadrature)areexplicitlyreportedinFig. 2andFig. 3.Uncertaintiesrelatedto charged-particletrackingwere further explored by repeating the full analysis with tracks re-constructed only by the TPC. Systematic uncertainties related to the
π
0 identification were obtained by varying the criteria forσ
2long selection and the invariant mass window. Uncertainties re-lated to
π
0 purity and pT resolution were assessed by varying the parameterizations, which were obtainedfrom detector simu-lationsandusedfortherespectivecorrections.Totaluncertainties were computedby addingtheindividualcontributions in quadra-ture.
The modification ofthe per-trigger yield can be quantified as theratio,IAA,oftheintegratedjet-likecorrelationyieldsinPb–Pb over pp,asexplained inthe previous section (see Eq.(5)).Fig. 4
presents the IAA on the nearside for
|
ϕ
|
<
0.
7 and away side for|
ϕ
−
π
|
<
1.
1.The uncertaintyon IAA (reportedin Table 1) isdominatedbytheuncertaintyonthedeterminationofB0 (esti-mated fromthedifference ofthe 3methods to extractthe base-line)andthemeasureduncertaintiesonvn,andhenceitislargely uncorrelated across passocT . On the nearside, the IAA is found to besignificantlylargerthanunity.TheenhancementincreasesfromIAA
≈
1.
2 athighpassocT to1.
8 atlowpassocT .Thedataareconsistent with our previous results extracted from di-hadron correlations above 3 GeV/
c [40]. On theaway side, IAA isstrongly enhanced below 3 GeV/
c, reaching values up to IAA≈
5 at lowest passocT , while above 4 GeV/
c it is suppressed to about 0.
6. As before, the data are compared to previous results using di-hadron cor-relations [40], which were obtained within a smaller integration region (|
ϕ
|
<
0.
7) andonly takingintoaccount v2 intheZYAM subtraction. For passocT>
4 GeV/
c, there is good agreement be-tweenthetwosetsofdata,whileforsmallerpassocT theaway-side peaksbecome wideranddetails oftheZYAMsubtractionaswell asthesizeoftheintegrationregionmatter.Ontheawayside,the suppression athighpassocT is understoodtooriginate fromparton energyloss[14–19],whiletheenhancementatlow passocin-Fig. 2. Charged-particleassociatedyieldsrelativetoπ0 triggerparticlesversusϕinppcollisionsat√s
NN=2.76 TeV.Theπ0triggermomentumrangeis8<ptrigT <
16 GeV/c,andassociatedchargedparticlerangesare0.5<passocT <1,1<p assoc T <2,2<p
assoc
T <4 and4<p assoc
T <6 GeV/c.Thebarsrepresentstatisticaluncertainties,the
boxesuncorrelatedsystematicuncertainties.DashedlinescorrespondtotheestimatedbackgroundusingtheZYAMproceduredescribedinthetext.Therangeofthevertical axisisadjustedforeachpanel,and“zero”isnotshowninallcases.
Fig. 3. Charged-particleassociatedyieldsrelativetoπ0triggerparticlesversus
ϕin0–10% mostcentralPb–Pb collisionsat√sNN=2.76 TeV.SeecaptionofFig. 2formore
information.
volveaninterplayofvariouscontributions,suchaskT broadening, medium-excitation,aswellasfragmentsfromradiatedgluons[53, 61,74–76]. Theenhancement onthenearside, firstobserved and discussed in Ref. [40], may also be related to the hot medium, inducinga changeofthe fragmentationfunctionorthe quark-to-gluonjetratio.
The observation of IAA
>
1 at low pT is consistent with the measured enhancement of low-pT particles from jet fragmenta-tion inPb–Pb relative to pp [48,49].At RHIC in Au–Au collisions at 200 GeV for a similar range of ptrigT as used in the present measurement, IAA onthe away side was found toreach at most 2–3[35],neglecting v3 andhigherordersharmonicsinthe back-groundsubtraction,whileonthenearsidenosignificant enhance-mentwasreported.In Fig. 5 the data are compared to calculations using the JEWEL[60]andAMPT [61]eventgenerators,aswellaspQCD cal-culation[62].JEWEL[60]addressestheparton–mediuminteraction by giving a microscopic description of the transport coefficient,
ˆ
q,which essentiallydefines theaverageenergy lossper unit dis-tance. Hard scattersare generated accordingto Glauber collision geometry,andpartonssufferfromelasticandradiativeenergyloss in the medium, including a MonteCarlo implementationof LPM interference effects. TheJEWEL calculation includes theso called “recoilhadrons”,whichareproducedbyfragmentingmedium par-tonsthatinteractedwiththepropagatinghardparton. AMPT[77]
uses initial conditionsof HIJING, followed by parton andhadron cascades withelastic scatterings for final-stateinteraction. String melting with a parton interaction cross section of 1
.
5 mb andFig. 4. Per-triggeryieldmodification, IAA,onthenearside (left)and awayside (right)with triggerπ0 particle at8<ptrigT <16 GeV/c for0–10% Pb–Pb collisionsat
√
sNN=2.76 TeV.Thedatafromourpreviousmeasurementusingdi-hadroncorrelations[40]areslightlydisplacedforbettervisibility.Thebarsrepresentstatisticalandthe
boxessystematicuncertainties.
Fig. 5. Per-triggeryieldmodification, IAA,onthenearside (left)and awayside (right)with triggerπ0 particle at8<ptrigT <16 GeV/c for0–10% Pb–Pb collisionsat
√s
NN=2.76 TeV.Thedataarecomparedtomodelcalculations[60–62]asexplainedinthetext.Thebarsrepresentandtheboxessystematicuncertainties. partonrecombination for hadronization is used with parameters
fromRef.[78].ThepQCDcalculation[62]isperformedat next-to-leading order (NLO). Ituses nuclear partondistribution functions for initial-state cold nuclear matter effects, and a phenomeno-logicalmodel for medium-modified fragmentationfunctions. The evolutionofbulk mediumisdonewitha3
+
1 dimensionalideal hydrodynamic model, and the value q isˆ
consistent with that of the JET collaboration, which was extracted using experimental data[79].ThepredictionforIAAisonlyavailablefortheawayside, anddonefollowingRef.[80].Allcalculations are ableto qualitatively describe the suppres-sionof IAA athigh passocT ontheaway side,further corroborating theidea that the suppression iscaused by partonenergyloss in hot matter. JEWEL and the pQCD calculation do not exhibit an increase at low pT, while AMPT quantitatively describes the en-hancementatthenear(exceptatlowest passocT ) andawayside.In AMPTthelow-passoc
T enhancement isattributedtotheincreaseof softparticles asaresultofthejet-mediuminteractions. However, inparticularon thenearside forpassocT
>
5 GeV/
c AMPTpredicts a strong suppression of IAA down to about 0.
6, which clearly is notseeninthedata.AlsoontheawaysideAMPT tendsto under-predictthe IAA for passocT>
5 GeV/
c.Both defects,which maybe relatedtothefactthatAMPTwasfoundtooverpredictthe single-particlesuppressionincentral Pb–Pb collisions[81], indicatethat thedescriptionimplementedinAMPTisnotcomplete.5. Summary
Two-particlecorrelationswithneutralpionsoftransverse mo-menta 8
<
ptrigT<
16 GeV/
c as trigger and charged hadrons of 0.
5<
passocT
<
10 GeV/
c as associated particles versus azimuthalangle difference
ϕ
at midrapidity in pp (Fig. 2) and central Pb–Pb (Fig. 3) collisionsat√
sNN=
2.
76 TeV have beenmeasured. The per-triggeryields havebeen extractedfor|
ϕ
|
<
0.
7 on the nearandfor|
ϕ
−
π
|
<
1.
1 ontheawayside,aftersubtractingthe contributionsoftheflowharmonics, v2 uptov5 (Fig. 3).The per-triggeryieldmodificationfactor,IAA,quantifiedastheratioof per-triggeryieldsinPb–Pb tothatinppcollisions,hasbeenmeasured for the near and away side in 0–10% most central Pb–Pb colli-sions (Fig. 4).Ontheawayside,theper-triggeryieldsinPb–Pb are stronglysuppressedtothelevelofIAA≈
0.
6 for passocT>
3 GeV/
c, whilewithdecreasingmomentaanenhancement develops reach-ing about5.
2 atlowest passocT .Onthenearside, anenhancement of IAA between1
.
2 to1.
8 at lowest passocT is observed. The data are compared to predictions ofthe JEWEL andAMPT event gen-erators, as well as a pQCD calculation at next-to-leading order withmedium-modifiedfragmentationfunctions (Fig. 5).All calcu-lationsareabletoqualitativelydescribetheaway-sidesuppression athigh passocT .OnlyAMPT is ableto capturetheenhancement at low passocT , both on nearand away side. However, it also under-predicts IAA above 5 GeV/c, in particular on the near-side. The coincidenceoftheaway-sidesuppressionathighpT andthelarge enhancement atlow pT on thenear andaway side issuggestive ofa commonunderlyingmechanism, likely relatedtothe energy lost by highmomentum partons.The data henceprovide agood testinggroundto constrainmodelcalculationswhich aimtofully describejet–mediuminteractions.
Acknowledgements
WethankHanzhongZhangandGuo-LiangMaforprovidingthe AMPTandpQCDpredictions,respectively.
The ALICE Collaboration would like to thank all its engineers andtechnicians fortheir invaluablecontributionstothe construc-tion of the experiment and the CERN accelerator teams for the outstanding performance of the LHC complex. The ALICE Collab-oration gratefully acknowledges the resources and support pro-videdbyall GridcentresandtheWorldwide LHCComputingGrid (WLCG) collaboration. The ALICE Collaboration acknowledges the followingfundingagencies fortheirsupport inbuildingand run-ningtheALICEdetector:A.I.AlikhanyanNationalScience Labora-tory(YerevanPhysicsInstitute)Foundation(ANSL),State Commit-teeofScienceandWorldFederationofScientists(WFS),Armenia; AustrianAcademyofSciencesandÖsterreichischeNationalstiftung fürForschung,TechnologieundEntwicklung,Austria;Conselho Na-cionaldeDesenvolvimentoCientíficoeTecnológico(CNPq), Finan-ciadora deEstudose Projetos(Finep)andFundação de Amparoà PesquisadoEstadodeSãoPaulo(FAPESP),Brazil;Ministryof Edu-cationofChina(MOEofChina),MinistryofScience &Technology of China (MOST of China) and NationalNatural Science Founda-tion of China (NSFC), China; Ministry of Science, Education and Sportand Croatian Science Foundation, Croatia; Centro de Inves-tigacionesEnergéticas,MedioambientalesyTecnológicas(CIEMAT), Cuba;MinistryofEducation,YouthandSportsoftheCzech Repub-lic,Czech Republic;Danish NationalResearchFoundation (DNRF), TheCarlsbergFoundationandTheDanishCouncilforIndependent Research|NaturalSciences,Denmark;HelsinkiInstituteofPhysics (HIP),Finland;Commissariatàl’EnergieAtomique(CEA)and Insti-tut Nationalde Physique Nucléaire etde Physique desParticules (IN2P3)and Centre Nationalde laRecherche Scientifique(CNRS), France; Bundesministerium für Bildung, Wissenschaft, Forschung undTechnologie (BMBF)andGSI Helmholtzzentrum für Schweri-onenforschung GmbH, Germany; Ministry of Education, Research andReligiousAffairs,Greece;NationalResearch,Developmentand Innovation Office, Hungary; Department of Atomic Energy Gov-ernment of India (DAE), India; Indonesian Institute of Science, Indonesia; Centro Fermi – Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi and Istituto Nazionale di Fisica Nucleare (INFN), Italy; Institute for InnovativeScience and Tech-nology, Nagasaki Institute of Applied Science (IIST), Japan Soci-ety for the Promotion of Science (JSPS) KAKENHI and Japanese Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan; Consejo Nacionalde Cienciay Tecnología (CONA-CYT), through Fondo de Cooperación Internacional en Ciencia y Tecnología(FONCICYT)andDirecciónGeneralde Asuntosdel Per-sonal Academico (DGAPA), Mexico; Nationaal instituut voor sub-atomaire fysica (Nikhef), Netherlands; The Research Council of Norway,Norway;CommissiononScienceandTechnologyfor Sus-tainableDevelopmentintheSouth(COMSATS),Pakistan;Pontificia UniversidadCatólicadelPerú,Peru;MinistryofScienceandHigher Education and National Science Centre, Poland; Ministry of Ed-ucation and Scientific Research, Institute of Atomic Physics and RomanianNationalAgencyforScience,TechnologyandInnovation, Romania; Joint Institute for Nuclear Research (JINR), Ministry of EducationandScienceoftheRussianFederationandNational Re-search Centre Kurchatov Institute, Russia; Ministry of Education, Science,Research andSportofthe Slovak Republic, Slovakia; Na-tional Research Foundation of South Africa, South Africa; Korea Institute ofScience andTechnology InformationandNational Re-search Foundation of Korea (NRF),South Korea;Centro de Inves-tigacionesEnergéticas,MedioambientalesyTecnológicas(CIEMAT) andMinisteriodeCiencia eInnovación, Spain;Knut& Alice Wal-lenberg Foundation (KAW) and Swedish Research Council (VR), Sweden;EuropeanOrganizationforNuclearResearch,Switzerland; National Science and Technology Development Agency (NSDTA), Officeofthe Higher EducationCommissionunderNRU project of ThailandandSuranaree University ofTechnology (SUT),Thailand;
Turkish Atomic Energy Agency(TAEK), Turkey;National Academy ofSciences ofUkraine, Ukraine; ScienceandTechnology Facilities Council (STFC), United Kingdom; National Science Foundation of theUnitedStatesofAmerica(NSF)andUnitedStatesDepartment ofEnergy,OfficeofNuclearPhysics(DOENP),UnitedStates. References
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