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Physics
Letters
B
www.elsevier.com/locate/physletb
Long-range
two-particle
correlations
of
strange
hadrons
with
charged
particles
in
pPb
and
PbPb
collisions
at
LHC
energies
.
CMS
Collaboration
⋆
CERN,Switzerlanda
r
t
i
c
l
e
i
n
f
o
a
b
s
t
r
a
c
t
Articlehistory:Received11September2014
Receivedinrevisedform8December2014 Accepted23January2015
Availableonline26January2015 Editor:M.Doser Keywords: CMS Ridge Long-range Correlations Flow High-multiplicity
Measurements oftwo-particleangularcorrelationsbetweenan identifiedstrangehadron (K0 S orΛ/Λ)
and acharged particle, emittedin pPbcollisions, are presented overawiderange inpseudorapidity and fullazimuth.Thedata,correspondingtoanintegratedluminosityofapproximately35 nb−1,were
collected ata nucleon–nucleon center-of-mass energy (√sN N) of 5.02 TeV withthe CMS detectorat
theLHC.Theresultsarecomparedtosemi-peripheralPbPbcollisiondataat√sN N=2.76 TeV,covering similarcharged-particlemultiplicitiesintheevents.Theobservedazimuthalcorrelationsatlargerelative pseudorapidityareusedtoextractthesecond-order(v2)andthird-order(v3)anisotropyharmonicsofK0S
andΛ/Λparticles.Thesequantitiesarestudiedasafunctionofthecharged-particlemultiplicityinthe event andthetransverse momentumoftheparticles.Forhigh-multiplicitypPbevents,a clearparticle speciesdependenceofv2andv3isobserved.ForpT<2 GeV,thev2and v3valuesofK0S particlesare
largerthanthoseofΛ/ΛparticlesatthesamepT.Thissplittingeffectbetweentwoparticlespeciesis
foundtobestrongerinpPb thaninPbPb collisionsinthesamemultiplicityrange.Whendividedbythe number ofconstituent quarksandcomparedatthesametransversekineticenergyperquark,bothv2
and v3forK0S particlesare observedtobeconsistentwiththoseforΛ/Λparticlesatthe10%levelin
pPb collisions.Thisconsistencyextendsoverawiderangeofparticletransversekineticenergyandevent multiplicities.
©2015TheAuthors.PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense (http://creativecommons.org/licenses/by/4.0/).FundedbySCOAP3.
1. Introduction
Studies of multiparticle correlations provide an important in-sight into the underlying mechanism of particle production in high-energycollisionsofprotonsandnuclei.A keyfeatureofsuch correlations in ultrarelativistic nucleus–nucleus (AA) collisions is theobservationofapronouncedstructure onthenearside (rela-tiveazimuthal angle
|#φ|
≈
0) that extendsoveralarge rangein relativepseudorapidity(|#
η
|
upto4unitsormore).Thisfeature, knownasthe“ridge”,hasbeenfoundoverawiderangeofAA en-ergiesandsystemsizesatboththeRelativisticHeavyIonCollider (RHIC) [1–5] and the Large Hadron Collider (LHC) [6–10] and is interpreted asarising primarily fromthecollective hydrodynamic flowofastronglyinteracting,expandingmedium[11,12]
.Similar long-range correlations have also been discovered in proton–proton(pp)[13],proton–lead(pPb)[14–16],anddeuteron– gold(dAu)[17]collisionswithhighfinal-stateparticlemultiplicity. As the collision volume size is reduced, it is possible that the
⋆ E-mailaddress:cms-publication-committee-chair@cern.ch.
system willnot be ableto equilibrate andthehydrodynamic de-scriptionwill breakdown. As such,there hasbeen noconsensus ontheoriginoftheparticlecorrelationstructure inthesesmaller systems. A variety of theoretical models have been proposed to interpretthisphenomenoninpp[18],pPb,anddAu collisions. Be-sides hydrodynamic effects in a high-density system [19,20], an alternatemodelincludinggluonsaturationintheincoming nucle-onshasalsobeenshowntodescribethesedata[21,22].
Inhydrodynamicaldescriptions,thecollectiveflowmanifests it-self as an azimuthal anisotropy in the distribution of final-state particles. An additional key consequence of thesemodels is that the measured anisotropies will depend on the mass of the par-ticle [23–25]. Morespecifically, for particles withtransverse mo-mentum below about 2 GeV, the anisotropy will be larger for lighter particles.Thepresenceofthismassorderingiswell estab-lishedinAA collisionsatRHICandLHCenergies
[26–30]
.This phe-nomenonhasrecentlyalsobeenobservedinpPb[31]anddAu[17]collisions, consistent with expectationsfrom hydrodynamic mod-els [32,33]. The analysis presented in thispaper aims to further explore thiseffectby extractinganisotropies ofidentifiedstrange
http://dx.doi.org/10.1016/j.physletb.2015.01.034
0370-2693/©2015TheAuthors.PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).Fundedby SCOAP3.
mesons(KS)andbaryons(
Λ
andΛ
)inpPb andinPbPb collisionsthatproducesimilarfinal-stateparticlemultiplicity.
The azimuthal correlations of emitted particle pairs are typ-ically characterized by their Fourier components, dNd#φpair
∝
1+
!
n2Vn#cos
(
n#φ)
, where Vn# are the two-particle Fourierco-efficients and vn
=
√
Vn# denote the single-particle anisotropyharmonics [34]. In particular, the second and third Fourier com-ponents are known as elliptic (v2) and triangular (v3) flow,
re-spectively[12].Inhydrodynamicalmodels, v2 and v3 aredirectly
relatedtothe responseofthe medium totheinitial collision ge-ometryanditsfluctuations[35–37].Assuch,theseFourier compo-nents canprovide insightinto thefundamental transport proper-tiesofthemedium.
In AA collisions at RHIC, a scaling of v2 as a function of pT
withthenumberofconstituentquarks(nq)hasbeenobservedin
the range 2
<
pT<
6 GeV [38]. Specifically, the values of v2/
nqarefound tobe very similarforall mesons (nq
=
2)andbaryons(nq
=
3)whencomparedatthesamevalueofpT/
nq.Thisempiricalscalingmay indicate that final-statehadrons are formed through recombinationofquarksin this pT regime [39–41],possibly
pro-viding evidence of deconfinement of quarks andgluons inthese systems.AtlowerpT(pT
<
2 GeV),a similarscalingbehavioris ob-served,although,accordingtoperfectfluid hydrodynamics,v2/
nqvalues must be compared at the same transverse kinetic energy perconstituentquark(KET
/
nq,whereKET=
"
m2+
p2T
−
m)toac-countforthemassdifferenceofhadrons[42,43].
Thispaperpresentsananalysisoftwo-particlecorrelationswith identified strange hadrons, K0S and
Λ/Λ
, in pPb collisions at a center-of-massenergypernucleonpair(√
sN N) of5.02 TeV.Withthe implementation of a dedicated high-multiplicity trigger, the 2013 pPb data sample gives access to multiplicities comparable to those insemi-peripheral PbPb collisions. Two-particle correla-tionfunctionsareconstructedbyassociatingaK0
S or
Λ/Λ
particlewith a charged particle (pairs of K0
S or
Λ/Λ
particles are notstudied due to their limited statistical precision). In the context ofhydrodynamicmodels, Fouriercoefficientsofdihadron correla-tions can be factorizedinto products of single-particle azimuthal anisotropies.Assumingthatthisrelationship holds,v2 and v3 are
extractedfromlong-rangetwo-particlecorrelationsasafunctionof strangehadron pT andeventmultiplicity.Toexaminethevalidity
ofconstituentquarknumberscaling,v2
/
nqandv3/
nqareobtainedasa function of KET
/
nq for both K0S andΛ/Λ
particles.A directcomparisonofthepPb andPbPb resultsoverabroadrangeof sim-ilarmultiplicitiesispresented.
2. TheCMSexperimentanddatasample
Adescriptionof theCMSdetectorin theLHC atCERNcan be foundinRef.[44].The maindetectorcomponentusedinthis pa-per is the tracker,located ina superconducting solenoidof 6 m internaldiameter,providinga magneticfieldof3.8 T.The tracker consistsof1440siliconpixeland15 148siliconstripdetector mod-ules,coveringthepseudorapidityrange
|
η
|
<
2.
5.Forhadronswith pT≈
1 GeV and|
η
|
≈
0,theimpactparameter(distanceofclosestapproachfromtheprimary collisionvertex)resolutionis approxi-mately100 µmandthepT resolutionis0.8%.
Also located inside the solenoid are the electromagnetic cal-orimeter (ECAL) and the hadron calorimeter (HCAL). The ECAL consists of 75 848 lead tungstate crystals, arranged in a quasi-projectivegeometryanddistributedinabarrelregion(
|
η
|
<
1.
48)andtwo endcaps that extend to
|
η
|
=
3.
0. The HCAL barrel andendcapsaresamplingcalorimeterscomposed ofbrass and scintil-latorplates,covering
|
η
|
<
3.
0.Iron/quartz-fiberforwardcalorime-ters(HF)areplacedoneachsideoftheinteractionregion,covering
2
.
9<
|
η
|
<
5.
2.The detailedMonte Carlo(MC) simulationof theCMSdetectorresponseisbasedon geant4
[45]
.The data sample used in this analysiswas collected withthe CMSdetectorduringtheLHCpPb runin2013.Thetotalintegrated luminosity of the data set is about35 nb−1 [46].The beam
en-ergies are 4 TeV for protons and 1.58 TeV per nucleon for lead nuclei, resulting in a center-of-mass energy per nucleon pair of 5.02 TeV.The directionoftheprotonbeamwasinitiallysetup to be clockwise (20 nb−1), andwas later reversed (15 nb−1). As a
result ofthe energy difference betweenthe colliding beams, the nucleon–nucleoncenter-of-massinthepPb collisionsisnotatrest with respect to the laboratory frame. Massless particles emitted at
η
cm=
0 in the nucleon–nucleon center-of-massframe will bedetected at
η
= −
0.
465 (clockwise protonbeam)or 0.
465(coun-terclockwise proton beam) in the laboratory frame. A sample of peripheralPbPb dataat
√
sN N=
2.
76 TeV correspondingtoanin-tegratedluminosity of about2.3 µb−1,collected during the 2011
LHCheavy-ionrun,isalsoanalyzedforcomparisonwithpPb data atsimilarcharged-particlemultiplicityranges.
3. Onlinetriggeringandofflinetrackreconstructionand selection
The onlinetriggeringandtheoffline reconstruction and selec-tion follow the same procedure as described in Ref. [47]. Mini-mumbiaspPb eventsaretriggeredbyrequiringatleastonetrack with pT
>
0.
4 GeV to be found in the pixel tracker for a pPbbunchcrossing.Becauseofhardwarelimitsonthedataacquisition rate,onlyasmallfraction(
∼
10−3)ofallminimumbiastriggeredevents are recorded. In order to collect a large sample of high-multiplicity pPb collisions, a dedicatedhigh-multiplicitytrigger is alsoimplementedusingtheCMSLevel1(L1)andhigh-leveltrigger (HLT)systems.AtL1,twoeventstreamsweretriggered by requir-ingthetotaltransverseenergysummedoverECALandHCALtobe greaterthan 20or40 GeV. Chargedtracksarethenreconstructed onlineattheHLTusingthethreelayersofpixeldetectors,and re-quiringa trackoriginwithin a cylindricalregion of30 cmlength alongthebeamand0.2 cmradiusperpendiculartothebeam.For eachevent,thenumberofpixeltracks(Nonline
trk )with
|
η
|
<
2.
4 andpT
>
0.
4 GeV is counted separately for each vertex. Only trackswith a distance of closest approach of 0.4 cm or less to one of theverticesareincluded.Theonlineselection requiresNonline
trk for
the vertex withthe most tracks to exceed a specific value. Data aretakenwiththresholdsofNonline
trk
>
100,
130 (fromeventswithL1thresholdof20 GeV),and160,190(fromeventswithL1 thresh-old of40 GeV).While alleventswith Nonline
trk
>
190 are accepted,only a fractionofthe events fromthe other thresholdsare kept. This fractionis dependent on the instantaneous luminosity.Data fromboththeminimumbias triggerandhigh-multiplicity trigger areretainedforofflineanalysis.
In the offline analysis, hadroniccollisions are selected by the presence ofatleastone tower withenergyabove 3 GeV ineach of the two HF calorimeters. Events are also required to contain at least one reconstructed primary vertex within 15 cm of the nominalinteractionpointalongthebeamaxisandwithin0.15 cm transversetothebeamtrajectory.Atleasttworeconstructedtracks are required to be associated withthe primary vertex, a condi-tionthatisimportantonlyforminimumbiasevents.Beamrelated backgroundissuppressed byrejecting eventsforwhich lessthan 25% of all reconstructed tracks pass the high-purity selection (as definedinRef.[48]).ThepPb instantaneousluminosityprovidedby theLHCinthe2013runresultedina3% probabilityofhavingat leastoneadditionalinteractionpresentinthesamebunchcrossing (pile-upevents).Theprocedureusedforrejectingpile-upeventsis described inRef. [47] and is based on the numberof tracks
as-sociatedwitheachreconstructedvertexandthedistancebetween differentvertices.A purityof99.8%forsinglepPb collisionevents isachievedforthehighestmultiplicitypPb interactionsstudiedin thispaper.Withtheselectioncriteriaabove,97–98%oftheevents are foundto beselected amongthosepPb interactions simulated withthe epos lhc [49] and hijing 2.1[50] eventgenerators that have at least one particle from the pPb interaction with energy
E
>
3 GeV ineachoftheη
ranges−
5<
η
<
−
3 and3<
η
<
5.In this analysis, high-purity tracks are used to select primary tracks(tracksoriginatingfromthepPb interaction).Additional re-quirements are applied to enhance the purity of primary tracks. Thesignificanceoftheseparationalongthebeamaxis(z)between the track and the best vertex, dz/
σ
(
dz), and the significance oftheimpactparameterrelativetothebestvertextransversetothe beam, dT
/
σ
(
dT)
, mustbe less than3, andthe relative pTuncer-tainty,
σ
(
pT)/
pT,must belessthan 10%. Toensurehightrackingefficiencyand toreduce therate ofmisreconstructed tracks, pri-marytrackswith
|
η
|
<
2.
4 andpT>
0.
3 GeV areusedintheanaly-sis(apTcutoffof0.4 GeVisusedinthemultiplicitydetermination
tomatchtheHLTrequirement).Basedonsimulationstudiesusing geant4topropagateparticlesfromthe hijing eventgenerator,the combinedgeometricalacceptanceandefficiencyforprimary track reconstructionexceeds60%forpT
≈
0.
3 GeV and|
η
|
<
2.
4.Theef-ficiencyisgreaterthan90%inthe
|
η
|
<
1 regionforpT>
0.
6 GeV.Forthe eventmultiplicity rangestudied inthispaper, no depen-denceof the tracking efficiencyon multiplicity is found andthe rateofmisreconstructedtracksis1–2%.
TheentirepPb datasetisdividedintoclassesbasedonthe re-constructedtrack multiplicity, Noffline
trk ,whereprimary tracks with
|
η
|
<
2.
4 and pT>
0.
4 GeV arecounted.Details ofthemultiplic-ityclassificationinthisanalysis, includingthe fractionofthefull multiplicitydistributionandtheaveragenumberofprimarytracks beforeandaftercorrectingfordetectoreffectsineachmultiplicity range,areprovidedinRef.[47].
A subset of semi-peripheral PbPb data collected during the 2011 LHC heavy-ion run with a minimum bias trigger are also reanalyzed in order to directly compare pPb and PbPb systems atthe same collisionmultiplicity. The reanalyzed eventswere in the range of 50–100% centrality, where centrality is defined as the fractionofthe total inelasticcross section, with0% denoting themostcentralcollisions.Thissamplewas reprocessedusingthe sameeventselectionandtrackreconstructionalgorithmasforthe presentpPb analysis.A description ofthe2011PbPb data canbe foundinRefs.[47,51].
4. ReconstructionofK0
Sand
Λ/Λ
candidatesThereconstructiontechniqueforK0
S and
Λ/Λ
candidates(gen-erallyreferred toas V0s) atCMSwas first describedin Ref.[52].
Toincreasetheefficiencyfortrackswithlowmomentumandlarge impact parameters, both characteristic of the K0
S and
Λ/Λ
de-cayproducts, thestandard looseselectionoftracks(as definedin Ref. [48]) is used in reconstructing the K0
S and
Λ/Λ
candidates.Oppositelychargedtrackswithatleast4hitsandbothtransverse and longitudinal impact parameter significances greater than 1 (with respect to the primary vertex) are first selected to forma secondary vertex. The distanceofclosest approach ofthe pairof tracksisrequiredtobelessthan0.5 cm.Thefittedvertexinx, y,
z ofeachpairoftracksisrequiredtohavea
χ
2value normalizedbythenumberofdegreesoffreedomlessthan7.Thepairoftracks isassumedtobe
π
+π
− inK0S reconstruction, whilethe assump-tionofπ
−p(
π
+p)
isusedinΛ
(Λ
)reconstruction.ForΛ/Λ
,thelower-momentumtrackisassumedtobethepion.
Due to the long lifetime of K0S and
Λ/Λ
particles, a require-ment on the significance of the V0 decay length, which is thethree-dimensional distancebetweenthe primary and V0 vertices
dividedbyitsuncertainty,tobegreaterthan5isappliedtoreduce background contributions. Toremove K0
S candidates misidentified
as
Λ/Λ
particles andvice versa, theΛ/Λ
(K0S) candidates must haveacorrespondingπ
+π
−(
pπ
−)
massmorethan20(10) MeV awayfromthePDGvalueoftheK0S (
Λ
)mass[53].Theangleθ
pointbetweentheV0 momentumvectorandthevectorconnectingthe
primary and V0 vertices is required to satisfy cos
θ
point>
0.
999.This reduces theeffect ofnuclear interactions, random combina-tions oftracks, and
Λ/Λ
particles originatingfrom weak decaysof
Ξ
andΩ
− particles. From MC simulations using Geant4 andthe hijing event generator, it is found that the contribution of
Λ/Λ
particlesfromweakdecaysislessthan3%afterthis require-ment. The K0S (Λ/Λ
) reconstruction efficiency is about 6% (1%) for pT≈
1 GeV and 20%(
10%)
for pT>
3 GeV within|
η
|
<
2.
4. Thisefficiencyincludes theeffects ofacceptanceandthe branch-ingratioforV0particledecaysintoneutralparticles.Therelatively lowreconstructionefficiencyoftheV0candidatesisprimarilydueto the decaylength cut andthelow efficiency forreconstructing daughtertrackswithpT
<
0.
3 GeV orlargeimpactparameters.Examples of invariant mass distributions of reconstructed K0 S
and
Λ/Λ
candidates are shownin Fig. 1 for pPb data, with V0 pT inthe rangeof 1–3 GeV and eventmultiplicity in the range220
≤
Nofflinetrk
<
260.SincetheresultsforΛ
andΛ
arefoundtobeconsistent,theyhavebeencombinedinthisanalysis.TheV0peaks
can be clearly identified withlittlebackground.The true V0
sig-nal peakiswell described bya doubleGaussian function(witha commonmean),whilethebackgroundismodeled bya4th-order polynomialfunctionfitovertheentiremassrangeshownin
Fig. 1
. The mass window of±
2σ
wide around the center of the peak isdefinedasthe“peakregion”,whereσ
representstherootmean squareofthetwostandarddeviationsofthedoubleGaussian func-tions weightedbytheyields (withtypicalvalueofσ
indicatedinFig. 1). Toestimate the contributionof backgroundcandidates in the peak region to the correlation measurement,a “sideband re-gion”ischosenthatincludesV0candidatesfromoutsidethe
±
3σ
massrangearoundthe V0 masstothelimitofthemass
distribu-tionsshownin
Fig. 1
.5. Analysisoftwo-particlecorrelations
The construction of the two-particle correlation function fol-lowsthesameprocedureestablishedinRefs. [6,7,14,47].However, inthispaper,reconstructedV0candidatesfromeitherthepeakor
sidebandregionaretakenas“trigger”particleswithinagivenptrigT
range,instead ofchargedtracks asusedinprevious publications. The number oftrigger V0 candidates inthe eventis denoted by
Ntrig.Particle pairsareformedbyassociatingeachtriggerparticle
withtheremainingchargedprimarytracksinaspecifiedpassoc
T
in-terval(whichcanbeeitherthesameasordifferentfromthe ptrigT
range).Thetwo-dimensional(2D)correlationfunctionisdefinedin thesamewayasinpreviousanalysesas
1 Ntrig d2Npair d
#
η
d#φ
=
B(
0,
0)
×
S(#
η
, #φ)
B(#
η
, #φ)
,
(1)where
#
η
and#φ
arethedifferencesinη
andφ
ofthepair.Thesame-event pair distribution, S
(#
η
,
#φ)
, represents the yield ofparticlepairsnormalizedbyNtrigfromthesameevent,
S
(#
η
, #φ)
=
1 Ntrigd2Nsame
Fig. 1. InvariantmassdistributionofK0
S(left)andΛ/Λ(right)candidatesinthepTrangeof1–3 GeVfor220≤Nofflinetrk <260 inpPb collisionsat√sN N=5.02 TeV.Thesolid lineshowsthefitfunctionofadoubleGaussianplusa4th-orderpolynomial(dashedline).
Themixed-eventpairdistribution,
B
(#
η
, #φ)
=
1 Ntrigd2Nmix
d
#
η
d#φ
,
(3)isconstructedby pairingthetrigger V0 candidatesineach event
withtheassociatedchargedprimary tracksfrom20different ran-domlyselectedeventsinthesame2 cmwiderangeofvertex po-sitioninthezdirectionandfromthesametrackmultiplicityclass. Here, Nmix denotes the number of pairs taken from the mixed
events.Theratio B
(
0,
0)/
B(#
η
,
#φ)
mainlyaccountsforthepair acceptanceeffects,with B(
0,
0)
representingthemixed-eventas-sociatedyieldforbothparticlesofthepairgoinginapproximately the same direction and thus having maximum pair acceptance (withabinwidthof0.3in
#
η
andπ
/
16 in#φ
).Thus,thequan-tityinEq.(1)iseffectivelytheper-trigger-particleassociatedyield. A pairisremoved ifthe associatedparticlebelongstoa daughter trackof any trigger V0 candidate (this contribution is negligible
sinceassociatedparticlesaremostlyprimarytracks).
The same-event and mixed-event pair distributions are first calculated foreach event, andthen averaged over all the events within the track multiplicity class. The range of 0
<
|#
η
|
<
4.
8and0
<
|#φ|
<
π
isusedtofillonequadrantofthe(#
η
,
#φ)
his-tograms,withtheotherthreequadrantsfilled(forillustration pur-poses)byreflectiontocovera(#
η
,
#φ
)rangeof−
4.
8< #
η
<
4.
8and
−
π
/
2< #φ <
3π
/
2 for the2D correlation functions,aswill be shown later in Fig. 2. In performing the correlation analyses, eachreconstructedprimarytrackandV0 candidateisweightedbyacorrection factor, followingthe procedure described inRefs. [6, 7,14,47]. This correction is also applied in calculating Ntrig. This
factor accounts for detector effects including the reconstruction efficiency,the detector acceptance,andthe fraction of misrecon-structedtracks.Thiscorrectionfactorisfoundtohaveanegligible effectontheazimuthalanisotropyharmonics.
5.1.Extractionofvnharmonics
Motivatedby hydrodynamic models oflong-rangecorrelations inpPb collisions, azimuthalanisotropy harmonicsofK0
S and
Λ/Λ
particles are extractedvia a Fourierdecomposition of
#φ
corre-lation functions averaged over
|#
η
|
>
2 (to remove short-rangecorrelationssuchasjetfragmentation), 1 Ntrig dNpair d
#φ
=
Nassoc 2π
#
1+
$
n 2Vn#cos(
n#φ)
%
,
(4)aswas doneinRefs. [6,7,14,47].Here, Vn# arethe Fourier
coeffi-cientsand Nassoc represents thetotalnumberofpairs pertrigger
V0 particle for a given
(
ptrigT
,
passocT)
bin. The first three Fouriertermsareincludedinthefitstothecorrelation functions. Includ-ing additional terms hasa negligible effect onthe results ofthe Fourierfit.
Iftheobservedtwo-particleazimuthalcorrelationsarisepurely astheresultofconvolutinganisotropicdistributionsofsingle par-ticles,thentheVn# coefficientscanbefactorizedintotheproduct
ofsingle-particleanisotropies[47],
Vn#
&
ptrigT,
passocT'
=
vn&
ptrigT'
×
vn&
passocT'
.
(5)Following this assumption, the elliptic
(
v2)
and triangular(
v3)
anisotropy harmonicsof V0 particlescan be extractedasa
func-tionofpT fromthefittedFouriercoefficients,
vn
&
pV 0 T'
=
Vn#(
pV 0 T,
prefT)
"
Vn#(
prefT,
prefT)
,
n=
2,
3.
(6)Here, a fixed prefT rangefor the“reference” chargedprimary par-ticles is chosen to be 0
.
3<
pT<
3.
0 GeV (the lowest pT regionaccessiblebyCMSandthesameaswasusedinRef.[47]),to min-imizecorrelationsfromback-to-backjetsathigherpT.
The vn values are first extracted for V0 candidates from the
peakregion(which containssmallcontributionsfrombackground
V0s)andsidebandregion,denotedas vobs
n andvbkgn ,respectively.
The vn signal of true V0 particles is denoted by vsign andis
ob-tainedby
vsign
=
vobs
n
− (
1−
fsig)
×
vbkgnfsig
,
n=
2,
3,
(7)assumingvsign andvbkgn areindependentfromeachother.Here, fsig
representsthesignalyieldfractioninthepeakregiondetermined by thefits tothemass distributionshownin
Fig. 1
.Thisfraction exceeds80% forΛ/Λ
candidatesatpT>
1 GeV andisabove95% forK0S candidatesovertheentirepTrange.
5.2. Systematicuncertainties
Table 1summarizes differentsources of systematic uncertain-tiesinvsign (identicalforK0S and
Λ/Λ
particles)forpPb andPbPbdata.Thedominantsourcesofsystematicuncertaintiesarerelated tothereconstruction ofV0 candidates.The systematiceffectsare
found tohave nodependenceon pT sothe estimatedsystematic
uncertaintiesareassumedtobeconstantpercentagesoverthe en-tire pT range.Systematicuncertainties in vsig3 areassumed tobe
Table 1
Summaryofsystematicuncertaintiesinvsign forpPb andPbPb data.
Source pPb (%) PbPb (%)
V0mass distribution range used in fit 1 1
Size of V0mass region for signal 2 2
Size and location of V0mass sideband region 2.2 2.2
Misidentified V0mass region 2 2
V0selection criteria 3 3 Tracker misalignment 2 2 MC closure test 4 4 Trigger efficiency 2 – Pile-up 1 – Total 6.9 6.6
TherangeoftheV0 massdistributionsusedinfittingthe
sig-nalplus background(Fig. 1) isvaried by10%.Thischange,which could affectthevalue of fsig usedin Eq.(7),yields a systematic
uncertaintyoflessthan1%forthevsig2 results.Changingthemass rangeincludedinthepeakregioncouldimpactthevaluesofboth
fsigandvobs
2 .Foravariationfrom
±
1σ
to±
3σ
,thevsig2 valuesarefoundtobe consistentwithin 2%.Systematicuncertaintiesdueto selection ofdifferentsideband massregions, whichcould change
vbkg2 , are estimated to be 2.2%. Possible contamination by resid-ualmisidentified V0 candidates (i.e.,K0
S as
Λ/Λ
,andvice versa)isalsoinvestigated.Variationoftheinvariantmassrangeusedto rejectmisidentified V0 candidatesleads tovariations oflessthan
2% on vsig2 .Systematiceffects relatedto selectionof the V0
can-didates are evaluated by varying the requirements on the decay lengthsignificanceandcos
θ
point,resultinginanuncertaintyof3%.As misalignment of the tracker detector elements can affect the
V0 reconstruction performance, an alternative detectorgeometry
isstudied.Comparedtothestandardconfiguration,thisalternative hasthetwohalvesofthebarrelpixeldetectorshiftedinopposite directionsalong thebeamby adistanceon theorderof100 µm. Thevaluesofvsig2 foundusingtheshiftedconfigurationdifferedby lessthan2%fromthedefaultones.
To test the procedure of extracting the V0 signal v2 from
Eq. (7), a study using epos lhc pPb MC events is performed to comparetheextractedvsig2 resultswiththegenerator-levelK0
Sand
Λ/Λ
values.Theagreement isfound tobe betterthan 4%.Othersystematicuncertaintiesintroducedbythehigh-multiplicitytrigger efficiency(1%)andpossibleresidualpile-upeffects(1–2%)forpPb dataare estimatedinthesamewayasinRef. [47],andfound to makeonlyasmallcontribution.Thevarioussources ofsystematic uncertaintiesareaddedtogetherinquadraturetoarriveatthefinal systematic uncertainties (6.9%forpPb and 6.6% for PbPb),which areshownasshadedboxesin
Figs. 4–7
.6. Results
The2Dtwo-particlecorrelationfunctionsmeasuredinpPb col-lisions for pairs of a K0
S (left) and
Λ/Λ
(right) trigger particlesanda chargedassociatedparticle(h±) areshownin Fig. 2inthe pT range of1–3 GeV. The 2D correlation functionsare corrected
for the background V0 candidates, following the same approach
of correcting vn in Eq. (7). The correction is negligible in this pT range because of the high signal yield fraction of V0
candi-dates. Forlow-multiplicityevents(Noffline
trk
<
35,Fig. 2
(a)and (b)),a sharp peak near
(#
η
,
#φ)
= (
0,
0)
due to jet fragmentationFig. 2. The2Dtwo-particlecorrelationfunctionsinpPb collisionsat√sN N=5.02 TeV forpairsofaK0S(a), (c) orΛ/Λ(b), (d) triggerparticleandachargedassociated
particle(h±),with1<ptrig
T <3 GeV and1<passocT <3 GeV,inthemultiplicityrangesNofflinetrk <35 (a), (b) and220≤Ntrkoffline<260 (c), (d).Thesharpnear-sidepeakfrom
Fig. 3. The1D#φcorrelationfunctionsfrompPb dataafterapplyingtheZYAMprocedure,inthemultiplicityrangeNoffline
trk <35 (open)and220≤Nofflinetrk <260 (filled),for
triggerparticlescomposedofinclusivechargedparticles(left),K0
Sparticles(middle),andΛ/Λparticles(right).SelectionofafixedptrigT andpassocT rangeofboth1–3 GeVis
shownforthelong-rangeregion(|#η|>2)ontopandtheshort-range(|#η|<1)minuslong-rangeregiononthebottom.Thecurvesonthetoppanelscorrespondtothe Fourierfitsincludingthefirstthreeterms.Statisticaluncertaintiesaresmallerthanthesizeofthemarkers.
(truncatedfor better illustrationof the full correlation structure) canbeclearlyobservedforbothK0
S–h±and
Λ/Λ
–h± correlations.Movingtohigh-multiplicity events(220
≤
Nofflinetrk<
260,Fig. 2
(c)and (d)), in addition to the peak from jet fragmentation, a pro-nouncedlong-rangestructureisseenat
#φ
≈
0,extendingatleast4.8unitsin
|#
η
|
.Thisstructurewaspreviously observedin high-multiplicity (Nofflinetrk
∼
110) pp collisions at√
s
=
7 TeV [13] and pPb collisionsat√
sN N=
5.
02 TeV[14–16,47]forinclusivechargedparticles,andalsoforidentifiedchargedpions,kaons,andprotons in pPb collisions at
√
sN N=
5.
02 TeV [31]. A similar long-rangecorrelationstructure hasalsobeenextensivelystudied inAA col-lisions over a wide range of energies [1–9], where it is believed to arise primarily from collective flow of a strongly interacting medium[34].
Toinvestigatethecorrelation structure fordifferentspeciesof particles in detail, one-dimensional (1D) distributions in
#φ
arefound by averaging the signal andmixed-event 2D distributions over
|#
η
|
<
1 (defined asthe “short-rangeregion”)and|#
η
|
>
2 (definedasthe“long-rangeregion”),asdoneinRefs.[6,7,13,14,47].Fig. 3shows the1D
#φ
correlation functions frompPb data fortriggerparticlescomposedofinclusivechargedparticles(left)[47], K0S particles(middle), and
Λ/Λ
particles(right), inthe multiplic-ityrange Nofflinetrk
<
35 (open)and220≤
Nofflinetrk<
260 (filled).Thecurves show the Fourier fits from Eq. (4) to the long-range re-gion,whichwillbediscussedindetaillater.Followingthestandard zero-yield-at-minimum(ZYAM)procedure[47],eachdistributionis shiftedtohavezeroassociatedyieldatitsminimumtorepresent the correlated portion of the associated yield. Selection of fixed
ptrigT and passoc
T ranges of 1–3 GeV is shown for the long-range
region (top) and for the difference of the short- and long-range regions (bottom) in Fig. 3. As illustrated in Fig. 2, the near-side long-range signal remains nearly constant in
#
η
. Therefore, by takinga difference of1D#φ
projectionsbetweenthe short- andlong-rangeregions,thenear-sidejetcorrelationscanbeextracted. As shown in the bottom panels of Fig. 3, dueto biasesin mul-tiplicity selection toward higher pT jets, a larger jet peak yield
isobservedforeventsselectedwithhighermultiplicities.Because chargedparticles are directly used in determining the
multiplic-ityin the event, thisselection bias ismuch stronger forcharged particlesthanK0
S and
Λ/Λ
hadrons.ForNofflinetrk<
35,nonear-sidecorrelationsareobservedinthelong-rangeregionforanyparticle species.ThePbPb datashowqualitativelythesamebehaviorasthe pPb data,andthusarenotpresentedhere.
Recently,thev2anisotropyharmonicsforchargedpions,kaons,
andprotons have beenstudied usingtwo-particle correlations in pPb collisions [31], and are found to be qualitatively consistent withhydrodynamicmodels[32,33].Inthispaper,theelliptic(v2)
andtriangular (v3) flow harmonics ofK0S and
Λ/Λ
particles areextracted from the Fourier decomposition of 1D
#φ
correlation functions for the long-range region (|#
η
|
>
2) in a significantlylarger sample ofpPb collisions such that theparticle species de-pendence of vn can be investigated in detail. In Fig. 4, the vsig2
of K0
S and
Λ/Λ
particles are plotted asa function of pT for thethreelowestmultiplicity rangesinPbPb andpPb collisions.These data were recorded using a minimum bias trigger. The range of the fraction of the full multiplicity distribution that each multi-plicityselectioncorrespondsto,asdeterminedinRef.[47],isalso specifiedinthefigure.IncontrasttomostotherPbPb analyses,the presentworkusesmultiplicitytoclassifyevents,insteadofthe to-tal energy deposited in HF (the standard procedure of centrality determination inPbPb)[47,51]. Byexaminingthe HFenergy dis-tribution for PbPb events in each of the multiplicity ranges, the correspondingaverageHFfractionalcrosssection(anditsstandard deviation)can be determined,whichare presentedforPbPb data inthefigure.
Inthelowmultiplicity region(Fig. 4),the v2 valuesofK0S and
Λ/Λ
particles are compatible within statistical uncertainties. Asthereisnoevident long-rangenear-sidecorrelation seeninthese low-multiplicityevents,theextractedv2 mostlikelyreflects
back-to-back jet correlations on the away side. Away-side jet correla-tions typicallyappearasa peakstructure around
#φ
≈
π
,which contributestovariousordersofFourierterms.The top row of Fig. 5 shows the measured v2 values for K0S
and
Λ/Λ
particles as a function of pT from the highmultiplic-ity pPb data, along withthe previously published results for in-clusive charged particles [47]. In the pT
!
2 GeV region for allFig. 4. Thev2resultsforK0S(filledsquares)andΛ/Λ(filledcircles)particlesasafunctionofpTforthreemultiplicityrangesobtainedfromminimumbiastriggeredPbPb
sampleat√sN N=2.76 TeV (toprow)andpPb sampleat√sN N=5.02 TeV (bottomrow).Theerrorbarscorrespondtostatisticaluncertainties,whiletheshadedareas
denotethesystematicuncertainties.ThevaluesinparenthesesgivethemeanandstandarddeviationoftheHFfractionalcrosssectionforPbPb andtherangeofthefraction ofthefullmultiplicitydistributionincludedforpPb.
Fig. 5. Toprow:thev2resultsforK0S(filledsquares),Λ/Λ(filledcircles),andinclusivechargedparticles(opencrosses)asafunctionofpT forfourmultiplicityranges
obtainedfromhigh-multiplicitytriggeredpPb sampleat√sN N=5.02 TeV.Middlerow:thev2/nqratiosforK0S(filledsquares)andΛ/Λ(filledcircles)particlesasafunction
ofKET/nq,alongwithafittotheK0Sresultsusingapolynomialfunction.Bottomrow:ratiosofv2/nqforK0SandΛ/Λparticlestothefittedpolynomialfunctionasafunction
ofKET/nq.Theerrorbarscorrespondtostatisticaluncertainties,whiletheshadedareasdenotethesystematicuncertainties.Thevaluesinparenthesesgivetherangeofthe
fractionofthefullmultiplicitydistributionincludedforpPb.
high-multiplicity ranges, the v2 values of K0S particles are larger
than those for
Λ/Λ
particles at each pT value. Both of themare consistently below the v2 values of inclusive charged
parti-cles. As most charged particles are pions, the data indicate that lighterparticlespeciesexhibitastrongerazimuthalanisotropy sig-nal. This mass ordering behavior is consistent withexpectations
in hydrodynamic models and the observation in 0–20% central-ity pPb collisions [31]. A similar trend was first observed in AA collisionsatRHIC[28,29].AthigherpT,thev2 valuesof
Λ/Λ
par-ticles are larger than those of K0
S. The inclusive charged particle
v2 values fall between the values of the two identified strange
parti-Fig. 6. Toprow:the v2resultsforK0S (filledsquares),Λ/Λ(filledcircles),andinclusivechargedparticles(opencrosses)asafunctionofpTforfourmultiplicityranges
obtainedfromminimumbiastriggeredPbPb sampleat√sN N=2.76 TeV.Middlerow:thev2/nqratiosforK0S(filledsquares)andΛ/Λ(filledcircles)particlesasafunction
ofKET/nq.Bottomrow:ratiosofv2/nqforK0SandΛ/Λparticlestoasmoothfitfunctionofv2/nqforK0SparticlesasafunctionofKET/nq.Theerrorbarscorrespondto
statisticaluncertainties,whiletheshadedareasdenotethesystematicuncertainties.ThevaluesinparenthesesgivethemeanandstandarddeviationoftheHFfractional crosssectionforPbPb.
cles.NotethattheratioofbaryontomesonyieldinpPb collisions isenhancedathigher pT,aneffectthatbecomes strongeras
mul-tiplicityincreases[54,55]. Thisshould alsobe takeninto account whencomparing vn valuesbetweeninclusiveandidentified
parti-cles.Comparingtheresultsin
Fig. 4
andFig. 5
,thedependenceofv2 ontheparticlespeciesmayalreadybeemerginginthe
multi-plicityrangeof60
≤
Noffline trk<
120.The scaling behavior of v2 divided by the number of
con-stituent quarks as a function of transverse kinetic energy per quark, KET
/
nq,is investigated for high-multiplicity pPb eventsinthemiddle rowof
Fig. 5
.Afterscaling by the numberofquarks, the v2 distributions for K0S andΛ/Λ
particles are found to be inagreement. The middle rowofFig. 5
also showsthe resultof fittinga polynomial function to the K0S data. The bottom rowof Fig. 5showsthenq-scaledv2 resultsforK0S and
Λ/Λ
particlesdi-videdby thispolynomial function fit, indicating that the scaling isvalidto betterthan10% overmostoftheKET
/
nq range,exceptforKET
/
nq<
0.
2 GeV wherethedeviationgrowstoabout20%.InAA collisions,thisapproximatescaling behavior isconjectured to berelatedto quarkrecombination[39–41],whichpostulates that collectiveflowisdevelopedamongconstituentquarksbeforethey combineintofinal-statehadrons.Notethatthescalingofv2 with
the number of constituent quarks was originally observed as a functionof pT,insteadofKET,fortheintermediate pT rangeofa
fewGeV[38],andinterpretedinasimplepictureofquark coales-cence[39].However, itwaslaterdiscovered thatwhenplottedas afunctionofKETinordertoremovethemassdifferenceof
identi-fiedhadrons,thescalingappearstoholdovertheentirekinematic range[42,43].However,thisscalingbehaviorisnotexpectedtobe exactatlow pTinhydrodynamic modelsbecauseoftheimpactof
radialflow.Asthevn datatendtoapproachaconstantvalue asa
functionofpTorKETforpT
"
2 GeV,thescalingbehaviorintermsof pT andKET cannot be differentiated inthat regime. Therefore,
thenq-scaled vn resultsinthispaperarepresentedasafunction
of KET
/
nq in order to explore the scaling behavior over a widerkinematicrange.
The particle species dependence of v2 and its scaling
behav-iorisalsostudiedinPbPb data overthesamemultiplicityranges asfor the pPb data, as shownin Fig. 6. The mean andstandard deviation ofthe HF fractional cross section ofthe PbPb data are indicated ontheplots.Qualitatively, a similarparticle-species de-pendence of v2 is observed. However, the mass ordering effect
is found to be less evident in PbPb data than in pPb data for all multiplicity ranges. In hydrodynamic models, this may indi-cate a stronger radial flow is developed in the pPb system as its energy density is higher than that of a PbPb system due to having a smaller size systemat the same multiplicity.Moreover, the nq-scaled v2 data in PbPb at similar multiplicities suggest
a stronger violation of constituent quark number scaling, up to 25%, than is observed in pPb, especially for higher KET
/
nqval-ues. This is also observed in peripheral AuAu collisions at RHIC, while the scaling applies more closely for central AuAu colli-sions[56].
The triangularflow harmonic, v3,of K0S and
Λ/Λ
particles isalsoextractedinpPb and PbPb collisions,asshownin
Fig. 7
.Due to limited statisticalprecision, only the resultin the multiplicity range 185≤
Nofflinetrk
<
350 is presented.A similar speciesdepen-dence of v3 to that of v2 isobserved and, within the statistical
uncertainties,the v3 valuesscaledbytheconstituentquark
num-ber forK0
S and
Λ/Λ
particles matchatthelevelof20% overthefull KET
/
nq range. To date, no calculations of the quark numberscalingof triangularflow, v3, havebeenperformedintheparton
Fig. 7. Top:the v3 resultsforK0S(filledsquares),Λ/Λ(filledcircles),andinclusivechargedparticles(opencrosses)asafunctionofpTforthemultiplicityrange185≤ Noffline
trk <350 inpPb collisionsat√sN N=5.02 TeV (left)andinPbPb collisionsat√sN N=2.76 TeV (right).Bottom:thenq-scaledv3valuesofK0S(filledsquares)andΛ/Λ
(filledcircles)particlesasafunctionofKET/nqforthesametwosystems.Ratiosofvn/nqtoasmoothfitfunctionofvn/nqforKS0 particlesasafunctionofKET/nqare alsoshown.Theerrorbarscorrespondtostatisticaluncertainties,whiletheshadedareasdenotethesystematicuncertainties.Thevaluesinparenthesesgivethemeanand standarddeviationoftheHFfractionalcrosssectionforPbPb andtherangeofthefractionofthefullmultiplicitydistributionincludedforpPb.
7. Summary
Measurementsoftwo-particlecorrelationswithanidentifiedK0 S
or
Λ/Λ
triggerparticle havebeenpresented overa broadtrans-verse momentum and pseudorapidity range in pPb collisions at
√
sN N
=
5.
02 TeV and PbPb collisions at√
sN N=
2.
76 TeV. Withtheimplementation ofa high-multiplicity trigger during theLHC 2013pPb run,the identified particlecorrelation datain pPb col-lisionsareexplored overabroadparticlemultiplicityrange, com-parabletothatcoveredby50–100%centralityPbPb collisions.The long-range (
|#
η
|
>
2) correlations are quantified in terms ofaz-imuthalanisotropyFourierharmonics(vn)motivatedby
hydrody-namicmodels.Inlow-multiplicitypPb andPbPb events,similarv2
valuesofK0
Sand
Λ/Λ
particlesareobserved,whichlikelyoriginatefromback-to-backjetcorrelations. Forhighereventmultiplicities, a particle speciesdependence of v2
(
pT)
and v3(
pT)
is observed.For pT
!
2 GeV, thevaluesof vn forK0S particles arefound tobelarger than those of
Λ/Λ
particles, while this order is reversedathigher pT. This behavior is consistent with RHIC andLHC
re-sults in AA collisions and for identified charged hadrons in pPb and dAu collisions. For similar event multiplicities, the particle species dependence of v2 and v3 at low pT is observed to be
more pronounced in pPb than in PbPb collisions. In the context ofhydrodynamic models,thismayindicate that astronger radial flowboostisdevelopedinpPb collisions.Furthermore,constituent quark numberscaling of v2 and v3 between K0S and
Λ/Λ
parti-cles isfound to apply forPbPb and high-multiplicity pPb events. Theconstituentquarknumberscalingisfound toholdatthe10% (25%)levelinpPb (PbPb)collisions,forsimilareventmultiplicities. It will be interesting tosee if thisscaling lawcontinues to hold forotherparticles.Theresultspresentedinthispaperprovide im-portant input tothe furtherexploration ofthepossible collective floworiginoflong-rangecorrelations,andcanbeusedtoevaluate modelsofquarkrecombinationinadeconfinedmediumofquarks andgluons.
Acknowledgements
WecongratulateourcolleaguesintheCERNaccelerator depart-ments for the excellent performance of the LHC and thank the technical andadministrativestaffs atCERNand atother CMS in-stitutes for their contributions to the success of the CMS effort. Inaddition,wegratefullyacknowledgethecomputingcentresand personneloftheWorldwideLHCComputingGridfordeliveringso effectively thecomputinginfrastructure essentialto our analyses. Finally, we acknowledge the enduring support for the construc-tion andoperationofthe LHCandtheCMSdetectorprovided by thefollowingfundingagencies:BMWFWandFWF(Austria);FNRS and FWO (Belgium); CNPq, CAPES, FAPERJ, and FAPESP (Brazil); MES(Bulgaria);CERN;CAS,MOST,andNSFC(China);COLCIENCIAS (Colombia);MSESandCSF(Croatia);RPF(Cyprus);MoER,ERCIUT andERDF(Estonia); AcademyofFinland,MEC,andHIP (Finland);
CEA and CNRS/IN2P3 (France); BMBF, DFG, and HGF (Germany); GSRT (Greece); OTKA and NIH (Hungary); DAE and DST (India); IPM (Iran); SFI (Ireland); INFN (Italy); NRF and WCU (Republic ofKorea); LAS (Lithuania);MOE andUM (Malaysia); CINVESTAV, CONACYT,SEP,andUASLP-FAI(Mexico);MBIE(NewZealand);PAEC (Pakistan);MSHEandNSC(Poland);FCT(Portugal);JINR(Dubna); MON,RosAtom,RASandRFBR(Russia);MESTD(Serbia);SEIDIand CPAN(Spain);SwissFundingAgencies(Switzerland);MST(Taipei); ThEPCenter,IPST,STARandNSTDA(Thailand);TÜBITAK and TAEK (Turkey);NASUandSFFR(Ukraine);STFC (UnitedKingdom);DOE andNSF(USA).
Individuals have received support from the Marie-Curie pro-gramme and the European Research Council and EPLANET (Eu-ropean Union); the Leventis Foundation; the A.P. Sloan Founda-tion; the Alexander von Humboldt Foundation; the Belgian Fed-eral Science Policy Office; the Fonds pour la Formation à la Recherchedansl’Industrieetdansl’Agriculture(FRIA-Belgium);the AgentschapvoorInnovatiedoorWetenschapenTechnologie (IWT-Belgium);the Ministryof Education,Youth andSports(MEYS) of theCzechRepublic;theCouncilofScienceandIndustrialResearch, India; the HOMING PLUS programme of Foundation For Polish Science, cofinanced fromEuropean Union, Regional Development Fund;theCompagnia diSanPaolo (Torino); theConsorzioper la Fisica(Trieste); MIURproject 20108T4XTM(Italy); theThalisand Aristeia programmes cofinancedby EU-ESF and the Greek NSRF; andtheNationalPrioritiesResearchProgrambyQatarNational Re-searchFund.
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CMSCollaboration
V. Khachatryan,
A.M. Sirunyan,
A. Tumasyan
YerevanPhysicsInstitute,Yerevan,Armenia
W. Adam,
T. Bergauer,
M. Dragicevic,
J. Erö,
C. Fabjan
1,
M. Friedl,
R. Frühwirth
1,
V.M. Ghete,
C. Hartl,
N. Hörmann,
J. Hrubec,
M. Jeitler
1,
W. Kiesenhofer,
V. Knünz,
M. Krammer
1,
I. Krätschmer,
D. Liko,
I. Mikulec,
D. Rabady
2,
B. Rahbaran,
H. Rohringer,
R. Schöfbeck,
J. Strauss,
A. Taurok,
W. Treberer-Treberspurg,
W. Waltenberger,
C.-E. Wulz
1InstitutfürHochenergiephysikderOeAW,Wien,Austria
V. Mossolov,
N. Shumeiko,
J. Suarez Gonzalez
NationalCentreforParticleandHighEnergyPhysics,Minsk,Belarus
S. Alderweireldt,
M. Bansal,
S. Bansal,
T. Cornelis,
E.A. De Wolf,
X. Janssen,
A. Knutsson,
S. Luyckx,
S. Ochesanu,
R. Rougny,
M. Van De Klundert,
H. Van Haevermaet,
P. Van Mechelen,
N. Van Remortel,
A. Van Spilbeeck
UniversiteitAntwerpen,Antwerpen,Belgium
F. Blekman,
S. Blyweert,
J. D’Hondt,
N. Daci,
N. Heracleous,
J. Keaveney,
S. Lowette,
M. Maes,
A. Olbrechts,
Q. Python,
D. Strom,
S. Tavernier,
W. Van Doninck,
P. Van Mulders,
G.P. Van Onsem,
I. Villella
VrijeUniversiteitBrussel,Brussel,Belgium
C. Caillol,
B. Clerbaux,
G. De Lentdecker,
D. Dobur,
L. Favart,
A.P.R. Gay,
A. Grebenyuk,
A. Léonard,
A. Mohammadi,
L. Perniè
2,
T. Reis,
T. Seva,
L. Thomas,
C. Vander Velde,
P. Vanlaer,
J. Wang,
F. Zenoni
J. Mccartin,
A.A. Ocampo Rios,
D. Ryckbosch,
S. Salva Diblen,
M. Sigamani,
N. Strobbe,
F. Thyssen,
M. Tytgat,
E. Yazgan,
N. Zaganidis
GhentUniversity,Ghent,Belgium
S. Basegmez,
C. Beluffi
3,
G. Bruno,
R. Castello,
A. Caudron,
L. Ceard,
G.G. Da Silveira,
C. Delaere,
T. du Pree,
D. Favart,
L. Forthomme,
A. Giammanco
4,
J. Hollar,
A. Jafari,
P. Jez,
M. Komm,
V. Lemaitre,
C. Nuttens,
D. Pagano,
L. Perrini,
A. Pin,
K. Piotrzkowski,
A. Popov
5,
L. Quertenmont,
M. Selvaggi,
M. Vidal Marono,
J.M. Vizan Garcia
UniversitéCatholiquedeLouvain,Louvain-la-Neuve,Belgium
N. Beliy,
T. Caebergs,
E. Daubie,
G.H. Hammad
UniversitédeMons,Mons,Belgium
W.L. Aldá Júnior,
G.A. Alves,
L. Brito,
M. Correa Martins Junior,
T. Dos Reis Martins,
C. Mora Herrera,
M.E. Pol
CentroBrasileirodePesquisasFisicas,RiodeJaneiro,Brazil
W. Carvalho,
J. Chinellato
6,
A. Custódio,
E.M. Da Costa,
D. De Jesus Damiao,
C. De Oliveira Martins,
S. Fonseca De Souza,
H. Malbouisson,
D. Matos Figueiredo,
L. Mundim,
H. Nogima,
W.L. Prado Da Silva,
J. Santaolalla,
A. Santoro,
A. Sznajder,
E.J. Tonelli Manganote
6,
A. Vilela Pereira
UniversidadedoEstadodoRiodeJaneiro,RiodeJaneiro,Brazil
C.A. Bernardes
b,
S. Dogra
a,
T.R. Fernandez Perez Tomei
a,
E.M. Gregores
b,
P.G. Mercadante
b,
S.F. Novaes
a,
Sandra S. Padula
aaUniversidadeEstadualPaulista,SãoPaulo,Brazil bUniversidadeFederaldoABC,SãoPaulo,Brazil
A. Aleksandrov,
V. Genchev
2,
P. Iaydjiev,
A. Marinov,
S. Piperov,
M. Rodozov,
S. Stoykova,
G. Sultanov,
V. Tcholakov,
M. Vutova
InstituteforNuclearResearchandNuclearEnergy,Sofia,Bulgaria
A. Dimitrov,
I. Glushkov,
R. Hadjiiska,
V. Kozhuharov,
L. Litov,
B. Pavlov,
P. Petkov
UniversityofSofia,Sofia,Bulgaria
J.G. Bian,
G.M. Chen,
H.S. Chen,
M. Chen,
R. Du,
C.H. Jiang,
R. Plestina
7,
J. Tao,
Z. Wang
InstituteofHighEnergyPhysics,Beijing,China
C. Asawatangtrakuldee,
Y. Ban,
S. Liu,
Y. Mao,
S.J. Qian,
D. Wang,
L. Zhang,
W. Zou
StateKeyLaboratoryofNuclearPhysicsandTechnology,PekingUniversity,Beijing,China
C. Avila,
L.F. Chaparro Sierra,
C. Florez,
J.P. Gomez,
B. Gomez Moreno,
J.C. Sanabria
UniversidaddeLosAndes,Bogota,Colombia
N. Godinovic,
D. Lelas,
D. Polic,
I. Puljak
UniversityofSplit,FacultyofElectricalEngineering,MechanicalEngineeringandNavalArchitecture,Split,Croatia
Z. Antunovic,
M. Kovac
UniversityofSplit,FacultyofScience,Split,Croatia