Measurement of charged jet production cross sections and nuclear modification in p-Pb collisions at sNN=5.02 TeV

Contents lists available atScienceDirect

Physics

Letters

B

www.elsevier.com/locate/physletb

Measurement

of

charged

jet

production

cross

sections

and

nuclear

modification

in

p–Pb

collisions

at

√

s

_NN

=

5

.

02 TeV

.ALICE

Collaboration



a

r

t

i

c

l

e

i

n

f

o

a

b

s

t

r

a

c

t

Articlehistory: Received3March2015

Receivedinrevisedform21July2015 Accepted21July2015

Availableonline26July2015 Editor:L.Rolandi

Chargedjetproductioncrosssectionsinp–Pbcollisions at√sNN=5.02 TeV measuredwiththe ALICE

detectorattheLHCarepresented.Usingtheanti-kTalgorithm,jetshavebeenreconstructedinthecentral

rapidityregionfromchargedparticleswithresolutionparametersR=0.2 andR=0.4.Thereconstructed jets have been corrected for detector effects and the underlying event background. To calculate the nuclear modification factor, RpPb, ofcharged jetsin p–Pb collisions, a pp reference was constructed

byscaling previouslymeasuredchargedjetspectraat√s=7 TeV.Inthetransverse momentumrange 20≤pT,ch jet≤120 GeV/c, RpPb isfoundtobeconsistentwithunity,indicatingtheabsenceofstrong

nuclearmattereffectsonjetproduction.Majormodificationstotheradialjetstructureareprobedvia theratioofjetproductioncrosssectionsreconstructedwiththetwodifferentresolutionparameters.This ratioisfoundtobesimilartothemeasurementinppcollisionsat√s=7 TeV andtotheexpectations fromPYTHIAppsimulationsandNLOpQCDcalculationsat√sNN=5.02 TeV.

©2015CERNforthebenefitoftheALICECollaboration.PublishedbyElsevierB.V.Thisisanopen accessarticleundertheCCBYlicense(http://creativecommons.org/licenses/by/4.0/).FundedbySCOAP3_.

1. Introduction

Jetsaretheobservablefinal stateofafragmentingparton pro-duced e.g. in scattering of partons in nuclei with a large mo-mentum transfer, Q2. Atsufficiently large Q2,thejet production cross section is computable since it can be factorized into the non-perturbativeparton distribution andfragmentation functions andthe cross section of partonic scatterings, which iscalculable in perturbative QCD (pQCD) [1]. Jet measurements in p–Pb and their comparison to pp provide a tool to better constrain effects of(cold)nuclearmatteronthesefactors.Inparticular,theycanbe usedtoexamine theroleofa modificationoftheinitial distribu-tionofquarksandgluons, e.g.shadowing effectsandgluon satu-ration [2,3], andthe impact ofmultiple scatteringsand hadronic re-interactionsintheinitialandfinalstate[4,5].

In central heavy-ion collisions, the production of jets and high-pT particles is strongly modified: inPb–Pb collisions atthe

LHC,theobservedhadronyieldsaresuppressedbyuptoafactorof sevencomparedtoppcollisions,approachingafactoroftwo sup-pression athigh pT [6–8]. Asimilar suppressionis alsoobserved

forreconstructedjets incentralPb–Pb [9–13].Thisphenomenon, referred toasjetquenching,hasalso beenobserved previouslyin high-pT particle production in central Au–Au collisions at RHIC [14–19]. It isattributed tothe creation ofa quark–gluon plasma (QGP) in the final state, where hard scattered partons radiate

 _{E-mailaddress:alice-publications@cern.ch.}

gluons in strong interactions withthe medium asfirst predicted in [20,21]. This results in a radiative energy loss of the leading partonandamodifiedfragmentationpattern.

Initially, p–Pb collisions havebeen seenasthe testingground for isolated cold nuclear matter effects, without the formation of a hot and dense medium. However, recent results on low-pT

particle productionandlongrangecorrelationsinp–Pb collisions at

√

sNN

=

5

.

02 TeV [22–25] exhibit features of collective

behav-ior, similar to those found in Pb–Pb collisions, where they are attributedtothecreationofaQGP.Athigh pT,resultsonthe

pro-duction ofunidentifiedchargedparticles[26–29] andjets[30,31]

inp–Pb collisionsat

√

sNN

=

5

.

02 TeV areconsistentwiththe

ab-sence of a strong final state suppression. The question to what extent other nuclear effects lead to an enhancement of particle productionathighpTisstillopen,apossibleenhancementinp–Pb

collisions has beenreportedforsingle charged hadrons[28]. The measurementofjetsinp–Pb collisionscomparedtosinglehadrons tests the parton fragmentation beyond the leading particle with theinclusionoflow-pT andlarge-anglefragments.

Ajetisdefinedexperimentallybythealgorithmthatcombines themeasureddetectorinformationsuchastracksand/or calorime-tercells into jet objects andby theparameters ofthe algorithm. Thedesiredpropertiesofsuchalgorithmsinpp

(

p

¯

)

collisionsandin thecorresponding theoreticalframework havebeendiscussede.g. in[32].Ingeneral,jetalgorithmsaimtoreconstructthekinematic properties of the initial parton withas little dependence on the details ofitsfragmentationprocessaspossible,i.e.thealgorithms

http://dx.doi.org/10.1016/j.physletb.2015.07.054

0370-2693/©2015CERNforthebenefitoftheALICECollaboration.PublishedbyElsevierB.V.ThisisanopenaccessarticleundertheCCBYlicense (http://creativecommons.org/licenses/by/4.0/).FundedbySCOAP3_.

shouldyieldconsistentresultswhenappliedinatheoretical calcu-lationatany stage ofa partonshower andat final state particle level. A particularly well suited class of algorithms in this con-textarethoseusingsequentialrecombinationschemes,whichare infraredandcollinearsafe,incontrastto manyconceptually sim-plerconealgorithms.Thecomputationallyoptimized implementa-tionofsequentialrecombinationalgorithmsintheFastJetpackage

[33] facilitates their applicability also in collision systems with highmultiplicity andthereby the comparisonof resultsobtained withthe same jet algorithms in pp, p–Pb,and Pb–Pb collisions. Anadditionalcomplicationinthe contextofjet reconstructionin high-multiplicityeventsarisesfromthe largebackgroundparticle density,i.e.particlesinthe sameaperture asthe jetthat are not relatedtotheinitialhard scattering.Thisbackgroundcan be sub-tractedonan event-by-event basis andthe impacton the recon-structedjetobservableneedstobeevaluatedcarefully[12,34,35].

Inthispaper,jetsreconstructedfromchargedparticles(charged

jets)withtheanti-kTalgorithmmeasuredwiththeALICEdetector

in p–Pb collisions at

√

sNN

=

5

.

02 TeV are reported fordifferent

resolutionparameters, R.Section2describesindetailthe correc-tionstepsneededintheanalysis,includingtheeffectoftheevent backgroundanditsfluctuationsonthejetobservablesandthe un-foldingprocedure to account for background aswell asdetector effects.TheresultsarepresentedanddiscussedinSection3. 2. Data analysis

2.1.Eventandtrackselection

ThedatausedforthisanalysisweretakenwiththeALICE de-tector[36]duringthep–Pb runoftheLHCat

√

sNN

=

5

.

02 TeV at

thebeginning of 2013. Minimum biasevents havebeen selected requiringatleastonehit inbothofthe scintillatortrigger detec-tors (V0A andV0C) covering the pseudorapidity 2

.

8

<

η

lab

<

5

.

1

and

−

3

.

7

<

η

lab

<

−

1

.

7,respectively[37].Hereandinthe

follow-ing,

η

labdenotesthepseudorapidityintheALICElaboratoryframe.

Comparedto thisframe (with positive

η

in the directionof the V0A),thenucleon–nucleoncenter-of-masssystemmovesin rapid-ityby yNN

= −

0

.

465 inthedirectionoftheprotonbeam[38].

The event sample used in the analyses presented in this manuscript was collected exclusively for the beam configura-tion where the proton travels from V0A to V0C (clockwise). A van der Meer scanwasusedtomeasurethevisiblecrosssection

σ

V 0

=

2

.

09

±

0

.

07 b for thiscase[39].MonteCarlostudies show

that the sample consists mainly of non-single diffractive (NSD) interactions and a negligible contribution from single diffractive andelectromagneticinteractions(formoredetailssee[38,40]).The triggerisnotfullyefficientforNSDevents.Thisinefficiencyaffects onlyevents withouta reconstructed vertex, i.e.withno particles reconstructedwithin theacceptance ofthe SPD. The loss of effi-ciencyisestimatedtobe2.3%withalargesystematicuncertainty of3.1%[38].Inthispaper,thenormalizationtoNSDeventsisonly usedfortheconstructionofthenuclearmodificationfactor.

In addition to the trigger selection, timing andvertex-quality cutsareusedtosuppresspile-upandbadqualityevents.The anal-ysisrequiresareconstructedvertex,whichisthecasefor98.2%of theevents selected by the trigger. In addition,events witha re-constructedvertex

|

z

|

>

10 cm alongthe beamaxis are rejected. Intotal,about96Meventsareusedfortheanalysis.

ChargedparticlesarereconstructedastracksintheInner Track-ing System (ITS) [41] and the Time Projection Chamber (TPC) whichcoverthefullazimuthand

|

η

lab

|

<

0

.

9[42].Fortrackswith

reconstructedtrackpointsclosetothevertex(fromthetwoinner SiliconPixelDetector(SPD) layersoftheITS),a momentum reso-lutionof0.8%(3.8%)forpT

=

1 GeV

/

c (50 GeV

/

c) isreached[36].

Theazimuthaldistributionofthesehighqualitytracksisnot com-pletely uniform due to inefficient regions in the SPD. This can be compensatedby considering inaddition trackswithout

recon-structed track points in the SPD. For those tracks, the primary vertex is used as an additional constraint in the trackfitting to improve the momentum resolution. This approach yields a very uniformtrackingefficiencywithintheacceptance,whichisneeded to avoid geometrical biases of the jet reconstruction algorithm causedbyanon-uniformdensityofreconstructedtracks.The pro-cedure is described indetail in the context of jet reconstruction withALICE inPb–Pb events[12].Fortheanalyzeddata,the addi-tional tracks(without SPDtrackpoints) constitute approximately 4.3% ofthe used tracksample. Tracks with pT

>

0

.

15 GeV

/

c and

within a pseudorapidityinterval

|

η

lab

|

<

0

.

9 areused asinput to

the jet reconstruction. The overall efficiency for charged particle detection,includingtheeffectoftrackingefficiencyaswellasthe geometrical acceptance,is 70% at pT

=

0

.

15 GeV

/

c and increases

to85%at pT

=

1 GeV

/

c andabove.

2.2. Jetreconstructionandbackgroundcorrections

For thepresent analysis, the anti-kT algorithm fromthe

Fast-Jetpackage [43]hasbeenusedtoreconstructjetsfrommeasured trackswithresolutionparameters ofR

=

0

.

2 andR

=

0

.

4.In gen-eral,jetsareonly consideredforfurtheranalysisifthejet-axis is separatedfromtheedgeofthetrackacceptancein

η

labbyatleast

theresolutionparameter R usedinthejetfinding,e.g.jets recon-structed with R

=

0

.

4 are acceptedwithin

|

η

jet,lab

|

<

0

.

9

−

0

.

4

=

0

.

5. The jet transverse momentum is calculated by FastJet using the pT recombinationscheme. Toenable backgroundcorrections,

the area A for each jet is determined internally by distributing

ghostparticles into thearea that is clustered[44]. Ghostparticles havevanishingmomentumandthereforedonotinfluencethejet finding procedure.Byconstruction,the numberofghostparticles inajet isadirectmeasureforthejetarea. Aghostparticle den-sityof200per unitarea (0.005areaperghost particle)wasused toobtainagoodarearesolutionwithareasonablecomputingtime. InPb–Pb collisions,thebackgroundfromparticlesnotfromthe same hard scattering as the jet has a significant impact on the reconstructed jet momentum [12,35]. The transverse momentum densityofthisbackgroundis estimatedwithastatisticallyrobust methodbyusingthemedianofalljetpT,ch jetperareawithinone

eventforjetsreconstructed withthekT algorithm. Inp–Pb

colli-sions,themultiplicity densityistwo ordersofmagnitudesmaller thanincentralPb–Pb collisions[40],soacorrespondingreduction ofthejetbackgroundisexpected.Toobtainareliableestimatefor the more sparse environment ofp–Pb events a modified version oftheapproachdescribedin[45]forppcollisionsisemployed.It usesthesamemethodasinPb–Pb,butcontainsanadditional cor-rection factor, C , to account forregions without particles, which otherwise wouldnot contribute to the overallarea estimate. The backgrounddensityforeacheventisthengivenby

ρ

ch

=

median



pT,i Ai



·

C

,

(1)

wherei runsoverallreconstructedkT jetsintheeventwith

mo-mentum pT,i andarea Ai.C isdefinedby

C

=



jAj,kT

Aacc

.

(2)

Here,thenumeratoristheareaofallkT jetscontainingtracksand

the denominator, Aacc,is theacceptance inwhich charged

parti-clesareconsideredasinputtothejetfinding(2

×

0

.

9

×

2

π

).The probabilitydistributionforthebackgrounddensityinthismethod,

Fig. 1. (Coloronline.)Left:Probabilitydistributionoftheevent-by-eventtransversemomentumbackgrounddensity(seeEq.(1)).Themeanandvariancefortwoeventclasses areindicatedinthefigure.praw

T,ch jetrepresentsuncorrectedjetpT.Right:Probabilitydistributionofbackgroundfluctuationscalculatedwiththerandomconeapproachand definedviaEq.(4)(resolutionparameterR=0.4).

withthesametrackselectioncriteriaasthesignaljet reconstruc-tionandaradiusof0.4,isshowninFig. 1(left).The background densityobtainedwith R

=

0

.

4 is used both forthe correction of signaljetswith R

=

0

.

4 and R

=

0

.

2 toavoidevent-by-event fluc-tuationsinthedifferenceofthemomentaforthetworadii.

Theprobabilitydistributionof

ρ

chdecreasesapproximately

ex-ponentially. It is smaller than 4 GeV

/

c for 98.6% of all events. The mean background density and its variance for all events is



ρ

ch



=

1

.

02 GeV

/

c (with negligible statistical uncertainty) and

σ

(

ρ

ch)

=

0

.

91

±

0

.

01 GeV

/

c.Foreventscontaining a jetwith un-correctedtransversemomentum pT,ch jet

>

20 GeV

/

c,itis



ρ

ch



=

2

.

2

±

0

.

01 GeV

/

c and

σ

(

ρ

ch)

=

1

.

47

±

0

.

09 GeV

/

c,respectively.The observedincrease oftheunderlyingeventactivityforeventsthat containahigh-pT jetisexpected. Thisincreaseisalreadypresent

inpp collisions andhasbeen quantifiedin detailandwithmore differentialobservablesthanthebackgrounddensity,e.g.in[46].

The background density estimate provides an event-by-event correction for each jet withreconstructed transverse momentum

pT,ch jet andjetarea Ach jet:

pT,ch jet

=

prawT,ch jet

−

Ach jet

·

ρ

ch

.

(3)

However, thisapproach neglects that the backgroundfor a given eventisnot uniformlydistributed inthe (

η

lab

,

ϕ

)-planebut

fluc-tuatesfrom region to region.These fluctuationsare mainly Pois-sonian, but also encode correlated region-to-region variations of theparticlemultiplicityandthemean pT [35].Theeffectofthese

fluctuations can be accounted for on a statistical basis in the unfoldingofthe measuredjet pT,ch jet-distributions.The

distribu-tionofregion-to-regiondensityfluctuationsaroundtheevent-wise background densityestimate can be evaluated for the full event sample by a Random Cone (RC) approach as described in [35]. Coneswitharadius R correspondingtotheresolutionparameter of the jet finding algorithm are placed randomly in the (

η

lab,

ϕ

) jet-acceptanceandthetransversemomentaforalltracks(charged particles)fallingintothisconeare summedandcomparedtothe backgroundestimate:

δ

pT,ch

=



i

pT,i

−

ρ

chA

,

A

=

π

R2

.

(4)

Thedistributionoftheresiduals,

δ

pT,ch,asshowninFig. 1(right)

for R

=

0

.

4,is adirect measureforall intra-eventfluctuationsof the background and can be used directly in the unfolding pro-cedure. In Fig. 1(right), a clearasymmetry of the distributionis visible.Itiscausedbythefactthatthe

δ

pT,ch distributionof

sin-gleparticlessampledintheconeisasymmetric.Sincethenumber ofparticles within a cone increaseswith its size, statistical fluc-tuationsof thebackgroundestimate also increase(see also[35]).

Furthermore,therandomlyplacedconescanalsooverlapwithjets. In p–Pb collisions, thereis thepossibilityformultiple hard colli-sions withinonep–Pb event, soajetcan alsobethebackground to ajet fromanotherhard collisionandcontribute asanupward fluctuation. Therefore, an overlap of random cones with possible signal jetsshouldnot be a priori excludedin thefluctuation esti-mate,butispartofitssystematicuncertainty.

2.3. Detectoreffectsandunfolding

The main detector-related effects on the reconstructedjet are the reconstruction efficiency and the momentum resolution for single charged particles. To determine the correction for these, a fulldetectorsimulationofppjeteventsgeneratedwithPYTHIA6 (Perugia 2011, version 6.425) [47] and GEANT3 particle trans-port [48] isperformed. Inthe simulation, two jet collectionsare matchedgeometrically(closenessin(

η

lab,

ϕ

)-plane)witha one-to-onecorrespondence[12]:jetsreconstructedatthechargedparticle level (part) without detector effects and jets reconstructed from tracksafterparticletransport throughtheALICEdetector(det). In the simulation, the particlelevel reconstruction includes charged primary particlesproducedinthecollisionwith pT

>

0

.

15 GeV

/

c.

Charged decay products from primary particle decays, excluding those from weak decays of strange particles, are included with the same pT threshold. The response matrix is populated with

matched particle- and detector-level jets. It relates the particle-level to the detector-level charged jet momentum and encodes theeffectsofsingle-particlemomentumresolutionand reconstruc-tion efficiency on the reconstructed jet momentum. A correction for the missing energyof neutral jet-constituents is not applied. The response isshown on a logarithmic scale in Fig. 2 (left) for chargedjetswith R

=

0

.

4 andparticle-level momentumbetween 45

<

ppart_{T,ch jet}

<

50 GeV

/

c.It can be seen that the mostprobable value for the reconstructed momentum is the particle-level mo-mentum,butthedistributionhaslargetailstotheleftandright.It ismoreprobablethatjetsarereconstructedwithalower momen-tumthan thetruth,which isduetothe dominatingeffectofthe single-particle reconstruction efficiency that reduces the number of reconstructedparticles ina jet.The tailtothe right-hand side ismainly duetothesingle-particle momentumresolution,where a fractionoftracksisreconstructedwithhighermomentum than thetruth,causinganupwardshiftofthejetmomentum.

In addition, Fig. 2 (left) shows the effect of the background fluctuationsonthereconstructedjetmomentumandthe combina-tion ofdetectoreffectsandbackgroundfluctuations. Eventhough the background fluctuationsshow a strongtail to theright-hand side, itis seenthat inthecombined unfoldingmatrixthe effects

Fig. 2. (Coloronline.)Left:Projectionofthecombinedunfoldingmatrixforjetswithparticle-levelmomentum45<ppart_{T,ch jet}<50 GeV/c.The matrixisobtainedfromthe combinationofthedetectorresponseandbackgroundfluctuationmatrices,whicharealsoshownasprojections(seetextfordetails).Right:Probabilitydistributionofthe relativedifferencebetweenparticle-level(generatedtrue)anddetector-levelchargedjettransversemomentumforjetswithdifferentmomenta.Theeffectofbackground fluctuationsisincludedforthejetsreconstructedatdetectorlevel.CharacteristicvaluesofthedistributionsaresummarizedinTable 1.

Table 1

Characteristicvaluesforthedistributionofresidualsofthetotalchargedjet re-sponseshowninFig. 2(right),includingtheeffectofbackgroundfluctuationsand without:mostprobablevalue(MPV)determinedviaaGaussianfittothecentral peakregion,firstandsecondmoment(meanandwidthσ),andquartiles.The pre-cisionofthequartilesislimitedbythefinitebinwidthof0.01.

ppart_{T,ch jet} 20–25 GeV/c 45–50 GeV/c 80–90 GeV/c MPV (Gaussian fit) 0.006±0.002 −0.001±0.002 −0.010±0.004 id. w/o bkg. fluct. 0.007±0.001 −0.003±0.002 −0.013±0.004 Mean 0.149±0.030 −0.181±0.030 −0.222±0.030 id. w/o bkg. fluct. −0.163±0.030 −0.188±0.030 −0.226±0.030 Widthσ 0.238±0.030 0.246±0.030 0.259±0.030 id. w/o bkg. fluct. 0.233±0.009 0.245±0.005 0.258±0.003 Quartile, 25% above 0.01±0.01 −0.01±0.02 −0.01±0.02 id. w/o bkg. fluct. 0.01±0.01 −0.01±0.02 −0.03±0.02 Quartile, 50% above −0.05±0.04 −0.09±0.01 −0.13±0.04 id. w/o bkg. fluct. −0.07±0.04 −0.09±0.04 −0.13±0.04 Quartile, 75% above −0.25±0.06 −0.29±0.05 −0.37±0.04 id. w/o bkg. fluct. −0.27±0.04 −0.29±0.06 −0.37±0.04

ofsingle-particlemomentumresolutionplaythedominantrolein reconstructing a jet with momentum higher than the truth. The defaultalgorithm fortheunfoldingofthe measuredjet spectrum isbasedontheSingularValueDecomposition (SVD)approach[49]as implementedinthe RooUnfoldpackage [50]. Thedefaultprior in theunfoldingprocedureisasmoothedversionoftheuncorrected jet spectrum itself. In addition to the SVD unfolding approach, Bayesian [51,52] and

χ

2 _{[53] unfolding havebeen used for}

sys-tematiccomparisons and validity checks.The unfolded spectrum isalsocorrectedforunmatched jetsusingajetreconstruction ef-ficiencyobtained from generated–reconstructed comparison. This jet reconstruction efficiencyis larger than 96% in the considered momentumrange.

Theinfluenceofthesedetectoreffectsandbackground fluctua-tionsonthejetmomentumisshownforthreetransverse momen-tumintervalsinFig. 2(right)viatheprobabilitydistributionofthe relativedifference ofthe detector-levelandparticle-levelcharged jettransversemomentum.Forallmomentumbinsthedistribution isasymmetric.Themostprobableresponsewasdeterminedusing Gaussianfitstothepeakregion.ItcanbeseeninTable 1thatitis closetozero(

≤

1%)withamild pT dependence.Tofurther

quan-tifythedistributions, numericalvalues fortheir meanandwidth are also given in Table 1. Since the width is not a well-defined measure of the jet momentum resolution for these asymmetric distributions,thequartiles ofthedistribution areprovided in ad-dition. Approximately, 25% of the jets have a larger momentum than the generated. The 50% (median) correction is only 5% for

ppart_{T,ch jet}

=

20–25 GeV

/

c andincreasestowardslargerjetmomenta.

InTable 1thevaluesfortherespectivedistributionswithout back-ground fluctuationsare also given (notshown in Fig. 2). Clearly, the instrumental response dominates thejet responseas already seeninFig. 2(left).Themaineffectofthebackgroundfluctuations isabroadeningofthejetresponseandanupwardshiftofthe aver-agereconstructedenergyduetotheasymmetricshapeofthe fluc-tuationsasseeninFig. 1(right).Themostprobablevalueremains unaffectedwithin theuncertaintieswhenbackgroundfluctuations areincluded.

2.4. Nuclearmodificationfactor

ThenuclearmodificationfactorcomparesapT-differentialyield

inp–Pb collisionstothedifferentialproductioncrosssectioninpp collisionsatthesame

√

sNN toquantifynucleareffects:

RpPb

=

d2_N pPb

/

d

η

dpT



TpPb



·

d2

_σ

pp

/

d

η

dpT

.

(5) Here,



TpPb



is the nuclear overlap function which accounts for the increased parton flux in p–Pb compared to pp collisions. It isrelatedtothe numberofbinarynucleon–nucleoncollisions via



TpPb



= 

Ncoll

 /

σ

INELpp andhasbeencalculatedinaGlauber Monte

Carlo,asdescribedin[38].Here,

σ

INELpp representsthetotal

inelas-ticcrosssectioninppcollisions.Forminimumbiasp–Pb collisions, the nuclear overlap function is



TpPb



= (

0

.

0983

±

0

.

0034

)

mb−1 and



Ncoll

 =

6

.

87

±

0

.

56. In this paper, the reference

differen-tialproduction crosssection in ppis constructedfrom theALICE chargedjetmeasurementat7 TeV[54]byapQCDbasedscaling.In thenuclearmodificationfactor,theinvariant yieldforNSDevents in p–Pb is compared to inelastic pp collisions. Hence, the addi-tionalcorrectionof

(

2

.

3

±

3

.

1

)

% isappliedasdiscussedabove.

2.5. NLOcalculationsandppreference

Perturbative QCD calculations are used for two purposes in this paper: for comparison to the measurement of jet produc-tion in p–Pb, and as additional input to the construction of the pp reference. The calculations have been performed within the POWHEGboxframework[55,56],whichfacilitatesnext-to-leading order (NLO) precision in calculating parton scattering cross sec-tions in an event-by-event Monte Carlo. Event-by-eventthe out-going partons from POWHEG are passed to PYTHIA8[57] where the subsequent parton shower is handled. For this, a POWHEG version matched to the PYTHIA8fragmentation is used to avoid doublecountingofNLOeffectsalreadyconsideredinthePYTHIA8 code.TheMonte Carloapproachhastheadvantagethat thesame

Table 2

Summaryofsystematicuncertaintiesonthefullycorrectedjetspectrum,thecorrespondingnuclearmodificationfactor,andthejetproductioncrosssectionratioforthe resolutionparametersR=0.2 andR=0.4.Thepercentagesaregivenforthewholeshowntransversemomentumrange20–120 GeV/c.

Observable Jet cross section RpPb R

Resolution parameter R=0.2 R=0.4 R=0.2 R=0.4 0.2/0.4

Uncertainty source

Single-particle efficiency (%) 7.9–12.8 10.2–14.2 4.1–5.9 4.9–6.3 2.1–2.1

Unfolding (%) 2.2 1.7 2.8 2.2 1.5

Unfolding prior steepness (%) 1.4–4.8 0.5–4.0 2.9–8.0 0.9–4.4 1.1–1.5 Regularization strength (%) 3.1–3.9 2.3–4.4 3.6–5.8 2.3–5.6 1.1–4.7 Minimum pTcut-off (%) 1.1–0.3 2.3–0.1 1.3–1.4 2.8–4.1 1.2–0.4 Background estimate (%) 1.8–0.6 3.7–1.5 1.8–0.6 3.7–1.5 2.0–0.9 δpT,chestimate (%) 0.0–0.0 0.1–0.0 0.0–0.0 0.1–0.0 0.1–0.0 Combined uncertainty (%) 9.2–14.4 11.5–15.5 7.1–11.9 7.5–10.7 3.8–5.7  TpPb(%) – – 3.4 3.4 – pp cross section (%) – – 3.5 3.5 –

Reference scaling pp 7 TeV (%) – – 10.0 10.0 –

NSD selection efficiency p–Pb (%) – – 3.1 3.1 –

Combined scaling uncertainty (%) – – 11.6 11.6 –

selection criteria and jet finding algorithm can be used on final state particlelevel,asintheanalysisofthe realdata,in particu-lar,the limitation to chargedconstituents ofa jet. The dominant uncertaintyin theparton levelcalculation isgiven by thechoice ofrenormalizationscale,

μ

R,andfactorization scale,

μ

F.The

de-faultvaluehasbeenchosentobe

μ

R

=

μ

F

=

pT andindependent

variationsby afactoroftwoaround thecentralvalueare consid-eredasthesystematicuncertainty.Inaddition,theuncertaintyon theparton distributionfunctionshas beentakeninto account by thevariationofthefinalresultsfortherespectiveerrorsetsofthe partondensityfunctions(PDFs).

Forthecomparisonwiththemeasuredp–Pb data,protonPDFs correctedfornucleareffects (CTEQ6.6[58] withEPS09[59]) have beenused. Priorto passing thescatteredpartons to PYTHIA8for showering,they canbe boostedinto thesamereferenceframe as thep–Pb reactionby yNN

=

0

.

465.

The construction of the pp reference at

√

sNN

=

5

.

02 TeV is

basedontheALICEmeasurementofchargedjetsinppcollisionsat 7 TeV,describedindetailin[54].Forthepurposeofthereference scaling, the sameanalysis chain has beenused as forp–Pb. The samebinninginpseudorapidityandtransversemomentumallows for a partial cancellation of common systematic uncertainties in theppandp–Pb datasets.Inaddition,thesamebackground sub-tractionapproachasinthep–Pb analysisisused forthepp data. In the present analysis, the scaling is done with a factor which isdeterminedforeach pT,ch jet binbythe NLOpQCD calculations

(POWHEG

+

PYTHIA8) atthe two energies. For the pp reference scalingthe partondistributionfunctionsin thePOWHEG calcula-tionhavebeenreplacedbythefreeprotonPDFfromCTEQ6.6.The scalingfactorisgivenby

F

(

pT

)

=

yield

(

pT,ch jet

)



5_pp.02 TeV_,NLO,boosted

yield

(

pT,ch jet

)



7 TeV_pp,NLO

.

(6)

The factordecreases monotonically from F

≈

0

.

65 to 0

.

45 in the reported pT range. As already described above, the laboratory

frame is not the center-of-mass frame of the collision as is the caseforppcollisions.Therefore,thenumeratorofthescaling fac-tor F in Eq.(6) is determined in theNLO calculation wherethe additional Lorentz-boost is applied to the hard scatteredpartons prior to fragmentation. The resulting reduction of the observed jetsfor

|

η

lab

|

<

0

.

5 issmallerthan5%intherelevantmomentum

range.

2.6. Jetproductioncrosssectionratio

Thebroadeningornarrowingofthepartonshowerwithrespect to the original partondirection can have a direct impact on the jet production cross section reconstructed with different resolu-tionparameters.Thiscanbetestedviatheratioofyieldsorcross sectionsincommonrapidityinterval,here

|

η

lab

|

<

0

.

5 forR

=

0

.

2

and0

.

4:

R

(

0

.

2

,

0

.

4

)

=

d

σ

pPb,R=0.2

/

dpT d

σ

pPb,R=0.4

/

dpT

.

(7)

Considering the extreme scenario that all fragments are already containedwithin R

=

0

.

2 thisratioisunity. Inthiscase, alsothe statistical uncertainties between R

=

0

.

2 and R

=

0

.

4 are fully correlated andcancel completely in the ratio, when the jets are reconstructedfromthesamedataset.Inthecasethejetsareless collimated,theratiodecreasesandthestatisticaluncertaintiesonly cancelpartially. Forthe analysispresentedinthispaper,the con-ditionalprobability forreconstructing an R

=

0

.

2 jetin thesame

pT-binasageometricallyclose R

=

0

.

4 jetis25–50%, whichleads

to a reductionof thestatisticaluncertaintyof theratioof 5–10% comparedtothecaseofnocorrelation.

2.7. Systematicuncertainties

Thevarioussourcesofsystematicuncertaintiesarelistedin Ta-ble 2 for the full pT-rangeof thethree observablespresented in

thispaper:jet productioncross section,nuclear modification fac-tor, and cross section ratio. The most important sources will be discussedinthefollowing.

The dominant sourceof uncertaintyfor the pT-differential jet

productioncrosssectionistheimperfectknowledgeofthe single-particletrackingefficiencythathasadirectimpactonthe correc-tion of the jet momentum in the unfolding, asdiscussed above. In p–Pb collisions, the single-particle efficiency is known with a relative accuracy of 4%, which is equivalent to a 4% uncertainty onthejetmomentumscale.Toestimatetheeffectofthetracking efficiencyuncertaintyonthejetyield,thetrackingefficiencyis ar-tificiallyloweredby randomlydiscardingacertain fraction(4%in p–Pb)oftracksusedasinputforthejetfinding.Dependingonthe shape ofthespectrum,theuncertaintyonthesingleparticle effi-ciency(jetmomentumscale)translatesintoanuncertaintyof8to 15%ontheyield.

To estimate the uncertaintyon the p–Pb nuclearmodification factor, the uncertainty on the single-particle tracking efficiency

inthe two collision systems (ppand p–Pb) has to be evaluated. Thisuncertaintyon the efficiencyis correlatedbetweenthe data sets, since the correction is determined with the same underly-ingMonteCarlodescriptionofthe ALICEdetectorandforsimilar trackqualitycuts. Onlyvariations ofdetectorconditionsbetween runperiodsmayreducethedegreeofcorrelation.Theuncorrelated uncertaintyhasbeenestimatedtobe 2%,andtheuncertaintyfor thenuclearmodificationfactorhasbeendeterminedbyartificially introducing such a difference in the tracking efficiency between thetwocollisionsystems.

The uncertainty on the spectra induced by the underlying event subtraction has been estimated by comparing the results with various methods for background subtraction; ranging from purely track-based to jet-based density estimates, including an

η

lab-dependent correction. As seen inFig. 1, a typical correction

π

R2

ρ

ch forajet with R

=

0

.

4 is about1 GeV

/

c. Theuncertainty

on this correction can be treated similar to an uncertainty on thejet momentumscale. For thefinal spectrum, theuncertainty ontheyields fromthebackgroundcorrection methodis approxi-mately 2%.

Inthedeterminationofthefluctuationsoftheunderlyingevent, the main uncertainty is given by the exclusion of reconstructed jetsintherandomconesamplingoftheevent.Theprobabilityfor a random coneto overlap withreconstructed jets ishigher than forthejetsitself.Onaverage,ajetcanoverlapwithNcoll

−

1 jets

inone event.TherandomconecanoverlapwithNcoll jets. To

ac-countforthis,the

δ

pT,chcalculationcanbemodifiedtodiscardon

astatisticalbasisrandom conesthatoverlapwithsignal jets.This lowerstheaverageoverlap probability.However,since this modi-fied

δ

pT,chcalculationstronglydependsonthesignaljetdefinition

andalso onhow an overlap is defined, it is not usedby default butconsideredforsystematicuncertainties.Theeffectofthis par-tialsignalexclusionapproachonthefullycorrectedjetyieldsisof theorderof0.1%.

The uncertainty of the scaling procedure to obtain the ref-erencespectrum is estimated by determining the scaling factors F

(

pT) after varying the scales

μ

R and

μ

F in the POWHEG NLO

generation,andbyusingdifferenttunes intheoutgoing fragmen-tationhandled by PYTHIA8. Furthermore,standalone calculations with PYTHIA6 and PYTHIA8 using different generator tunes and with HERWIG at the two energies have been performed to ob-tainscaling factorsaccordingtoEq.(6).Ageneraluncertaintyfor how well LO generators and NLO calculations can describe the

√

s-dependenceofparticleproductionisalsoconsidered:inALICE measurements ofthe

π

0 _{productioninpp collisions, it hasbeen}

observedthatpQCDcalculationspredictastrongerincreaseofthe productioncrosssection whengoingfrom0

.

9 to7 TeVthan sup-portedbythe data[60].A similareffectis alsoseenin unidenti-fiedchargedhadronsmeasuredwithALICE at0.9,2.76,and7 TeV

[61].Furthermore,the

√

s-dependenceofthejetproductioncross sectionhasbeencrosscheckedinternallywithaninterpolation be-tween7and2.76 TeV,usingpreliminaryALICEresultsoncharged jetsat

√

s

=

2

.

76 TeV.Intotal,thesestudiesyieldanadditional un-certaintyonthepp referenceof10% forthe extrapolationfrom7 to5.02 TeV.Itisreportedasanindependentnormalization uncer-tainty,similartotheuncertaintyonthenuclearoverlapfunction. 3. Results

The pT-differential production cross sections for jets

recon-structed fromcharged particles inminimum bias p–Pb collisions at

√

sNN

=

5

.

02 TeV areshowninFigs. 3 and 4fortheresolution

parameters R

=

0

.

4 and R

=

0

.

2.The spectra are found to agree wellwithscaledNLOpQCDcalculations(POWHEG

+

PYTHIA8) us-ingnuclearPDFs(CTEQ6.6

+

EPS09)asseenbestintheratiodata

Fig. 3. (Coloronline.)Toppanel:pT-differentialproductioncrosssectionofcharged jetproductioninp–Pb collisionsat5.02 TeV forR=0.4.Bottompanel:Ratioof dataandNLOpQCDcalculations.Theglobaluncertaintyfromthemeasurementof thevisiblecrosssectionof3.5% isnotshown.TheuncertaintiesonthepQCD cal-culationareonlyshownintheratioplotasdashedlines.ThepQCDcalculations takeintoaccounttherapidityshiftofthenucleon–nucleoncenter-of-masssystem inp–Pb withaboostedpartonsystem.

Fig. 4. (Coloronline.)Toppanel:pT-differentialproductioncrosssectionofcharged jetproductioninp–Pb collisionsat5.02 TeV forR=0.2.Bottompanel:Ratioof dataandNLOpQCDcalculations.Theglobaluncertaintyfromthemeasurementof thevisiblecrosssectionof3.5% isnotshown.TheuncertaintiesonthepQCD cal-culationareonlyshownintheratioplotasdashedlines.ThepQCDcalculations takeintoaccounttherapidityshiftofthenucleon–nucleoncenter-of-masssystem inp–Pb withaboostedpartonsystem.

overcalculationinthelowerpanels.However,theeffectofthe nu-clearPDFsonthejetproductioninthereportedkinematicregime isalmostnegligible,asseeninthecomparisontocalculationswith onlyprotonPDFs(CTEQ6.6).

Fig. 4alsoshowsthejetspectrafor

−

0

.

65

<

η

lab

<

−

0

.

25 and

0

.

25

<

η

lab

<

0

.

65 comparedtotheresultsfromthesymmetric

se-lection

|

η

lab

|

<

0

.

5. Here,

η

lab denotes the pseudorapidity of the

jet axis. The first selection roughly corresponds to a small win-dowaround mid-rapidityforthe nucleon–nucleoncenter-of-mass

Fig. 5. (Coloronline.)NuclearmodificationfactorsRpPbofchargedjetsforR=0.2 (left)andR=0.4 (right).ThecombinedglobalnormalizationuncertaintyfromTpPb,the correctiontoNSDevents,themeasuredppcrosssection,andthereferencescalingisdepictedbytheboxaroundunity.

system, while thesecond isseparated fromit by aboutone unit inrapidity.Nosignificantchangeofthejetspectraisobservedfor thesetwo

η

lab regions centeredat

−

0

.

45 and 0

.

45.Thus, thejet

measurement has no strong sensitivity to the rapidity shift and thepseudorapiditydependentvariationofthemultiplicity (under-lying event)within the statisticalandsystematicuncertainties of themeasurement.

The nuclear modification factor RpPb is constructed based on

thepT-differentialyieldsandtheextrapolatedppproductioncross

section at 5

.

02 TeV for R

=

0

.

2 and 0

.

4. It is shown in the left and rightpanel of Fig. 5, respectively. In the reported pT-range,

itisconsistentwithunity,indicatingtheabsenceofalarge mod-ification of the initial partondistributions ora strongfinal state effect on jet production. Before comparing these results to the measuredsingle-particleresultsfor RpPb,onehastoconsiderthat

the samereconstructed pT corresponds to a differentunderlying

parton transverse momentum. Assuming that all spectra should obey the samepower law behaviorat high pT,an effective

con-versionbetweenthespectracanbe derivedata givenenergyvia thePOWHEG

+

PYTHIA8simulationsdescribedabove.Tomatchthe single charged particle spectra in the simulation to charged jets with R

=

0

.

4, a transformation p_Th±

→

2

.

28ph_T± is needed. Thus, the reported nuclear modification factor for charged jets probes roughly thesameparton pT-region astheALICEmeasurement of

single charged particles that shows a nuclear modificationfactor in agreement with unity in the measured high-pT range up to

50 GeV

/

c[27].

Since the jet measurements integrate the final state particles, theyhaveasmallersensitivitytothefragmentationpatternof par-tonsthansingleparticles.Differencesbetweenthenuclear modifi-cationfactorforjetsandsinglehigh-pT particles,assuggestedby

measurementsin[28,29],couldpointtoamodified fragmentation patternordifferentlybiasedjetselectioninp–Pb collisions.

Amodifiedfragmentationpatternmaybealsoreflectedinthe collimationor transverse structure ofjets. The first step in test-ing possible cold nuclear matter effects on the jet structure is the ratio of jet production cross sections for two different reso-lution parameters. It is shownfor R

=

0

.

2 and R

=

0

.

4 in p–Pb in Fig. 6 and compared to PYTHIA6 (Tune Perugia 2011) and POWHEG

+

PYTHIA8at

√

sNN

=

5

.

02 TeV and to ALICEresults in

pp collisions at

√

s

=

7 TeV [54]. All datashow the expected in-creaseoftheratiofromtheincreasingcollimationofjetsforhigher transversemomentumandagreewellwithintheuncertainties.No significant energydependenceorchangewith collisionspeciesis observed. The data for p–Pb collisions is well described by the NLOcalculationaswellasby thesimulationofppcollisions with PYTHIA6atthesameenergy.Itshouldbe notedthattheratiofor

Fig. 6. (Coloronline.)Chargedjetproductioncrosssectionratiofordifferent res-olutionparametersasdefinedinEq.(7). Thedatainp–Pb collisionsat √sNN= 5.02 TeV arecomparedtoPYTHIA6(tune:Perugia2011,nouncertaintiesshown) andPOWHEG+PYTHIA8(combinedstat.andsyst.uncertaintiesshown)atthesame energy,andtoppcollisionsat7 TeV(onlystat.uncertaintiesshown).

chargedjetsis,ingeneral,abovetheratioobtainedforfully recon-structedjets,containingchargedandneutralconstituents.Thiscan beunderstoodfromthecontributionfromneutralpionsthatdecay alreadyatthecollisionvertexandleadtoan effectivebroadening ofthejetprofilewhenincludingtheneutralcomponentinthejet reconstruction,mainlyintheformofdecayphotons.Forthesame reason, theinclusion ofthe hadronization in the NLO pQCD cal-culation is essential to describe the ratio of jet production cross sectionasalsodiscussedin[62].

4. Summary

In thispaper, pT-differential chargedjet productioncross

sec-tions inp–Pb collisionsat

√

sNN

=

5

.

02 TeV havebeen shownup

to pT,ch jet of 120 GeV

/

c for resolution parameters R

=

0

.

2 and R

=

0

.

4.Thechargedjetproductionisfoundtobecompatiblewith scaled pQCD calculationsatthe sameenergyusing nuclearPDFs. At the same time, the nuclear modification factor RpPb (using a

scaledmeasurementofjetsinppcollisionsat

√

s

=

7 TeV asa ref-erence)doesnotshowstrongnucleareffectsonjetproductionand isconsistent withunity forR

=

0

.

4 and R

=

0

.

2 inthe measured

pT-rangebetween20and120 GeV

/

c.Thejetcrosssectionratioof R

=

0

.

2

/

0

.

4 is compatiblewith7 TeV pp dataandalso withthe predictions fromPYTHIA6Perugia 2011andPOWHEG

+

PYTHIA8 calculationsat 5.02 TeV. No indication ofa strong nuclear modi-fication ofthe jet radial profileis observed, comparing jetswith differentresolutionparameters R

=

0

.

2 and R

=

0

.

4.

Acknowledgements

The ALICECollaboration wouldlike to thank all its engineers andtechniciansfortheirinvaluablecontributionstothe construc-tionoftheexperimentandtheCERNacceleratorteamsforthe out-standingperformanceoftheLHCcomplex.TheALICECollaboration gratefully acknowledges the resources and support provided by allGrid centresandthe Worldwide LHCComputing Grid(WLCG) Collaboration. The ALICE Collaboration acknowledges the follow-ing funding agencies for their support in building and running theALICEdetector:State CommitteeofScience,World Federation ofScientists (WFS)and Swiss Fonds Kidagan, Armenia, Conselho Nacionalde Desenvolvimento Científico e Tecnológico(CNPq), Fi-nanciadorade Estudose Projetos(FINEP),Fundação de Amparoà PesquisadoEstadodeSãoPaulo(FAPESP);NationalNaturalScience Foundation of China (NSFC), the Chinese Ministry of Education (CMOE)and the Ministry ofScience andTechnology of the Peo-ple’sRepublicofChina (MSTC);MinistryofEducationandYouthof theCzech Republic;Danish NaturalScienceResearch Council,the Carlsberg Foundation andthe Danish National Research Founda-tion;TheEuropeanResearchCouncilundertheEuropean Commu-nity’sSeventhFrameworkProgramme;HelsinkiInstituteofPhysics andtheAcademyofFinland;FrenchCNRS–IN2P3,the‘RegionPays deLoire’,‘RegionAlsace’,‘RegionAuvergne’andCEA,France; Ger-manBundesministeriumfurBildung,Wissenschaft,Forschungund Technologie(BMBF) andthe HelmholtzAssociation; General Sec-retariat for Research and Technology, Ministry of Development, Greece;Hungarian OrszagosTudomanyos KutatasiAlappgrammok (OTKA)andNationalOffice forResearchand Technology (NKTH); Department of Atomic Energy and Department of Science and TechnologyoftheGovernmentofIndia;IstitutoNazionalediFisica Nucleare (INFN) and Centro Fermi – Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, Italy; MEXT Grant-in-Aid for Specially Promoted Research, Japan; Joint Institute for Nuclear Research, Dubna; National Research Foundation of Ko-rea (NRF); Consejo Nacional de Cienca y Tecnologia (CONACYT), Direccion General de Asuntos del Personal Academico (DGAPA), México; Amerique Latine Formation academique–European Com-mission (ALFA–EC) and the EPLANET Program (European Particle PhysicsLatinAmericanNetwork); StichtingvoorFundamenteel On-derzoekderMaterie(FOM)andtheNederlandse Organisatievoor WetenschappelijkOnderzoek(NWO),Netherlands;Research Coun-cilof Norway(NFR); National ScienceCentre of Poland;Ministry of National Education/Institute for Atomic Physics and Consiliul Na ¸tionalal Cercet˘arii ¸Stiin ¸tifice–Executive Agency for Higher Ed-ucation Research Development and Innovation Funding (CNCS– UEFISCDI) – Romania; Ministry of Education and Science of the RussianFederation, Russian AcademyofSciences, Russian Federal AgencyofAtomicEnergy, RussianFederalAgencyforScience and InnovationsandThe RussianFoundation forBasic Research; Min-istryofEducationofSlovakia;DepartmentofScienceand Technol-ogy,Republic ofSouth Africa; Centrode Investigaciones Energet-icas, Medioambientales y Tecnologicas (CIEMAT), E-Infrastructure shared between Europe and Latin America (EELA), Ministerio de Economía yCompetitividad (MINECO) of Spain, Xunta de Galicia (Conselleríade Educación), Centro de AplicacionesTecnológicasy DesarrolloNuclear(CEADEN),Cubaenergía,Cuba, andIAEA (Inter-national Atomic Energy Agency); Swedish Research Council (VR) andKnut&AliceWallenbergFoundation(KAW);UkraineMinistry ofEducationandScience;UnitedKingdomScienceandTechnology FacilitiesCouncil(STFC);TheUnited StatesDepartmentofEnergy, theUnitedStatesNationalScienceFoundation,the StateofTexas, andthe State ofOhio; Ministry ofScience, Education andSports ofCroatiaandUnitythroughKnowledge Fund,Croatia; Councilof ScientificandIndustrialResearch(CSIR),NewDelhi,India.

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39

,

D. Adamová

82

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M.M. Aggarwal

86

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G. Aglieri Rinella

36

,

M. Agnello

110

,

N. Agrawal

47

,

Z. Ahammed

130

,

S.U. Ahn

67

,

I. Aimo

93

,

110

, S. Aiola

135

, M. Ajaz

16

,

A. Akindinov

57

, S.N. Alam

130

,

D. Aleksandrov

99

,

B. Alessandro

110

, D. Alexandre

101

,

R. Alfaro Molina

63

,

A. Alici

104

,

12

,

A. Alkin

3

,

J. Alme

37

,

T. Alt

42

,

S. Altinpinar

18

,

I. Altsybeev

129

,

C. Alves Garcia Prado

118

,

C. Andrei

77

, A. Andronic

96

,

V. Anguelov

92

, J. Anielski

53

, T. Antiˇci ´c

97

,

F. Antinori

107

,

P. Antonioli

104

,

L. Aphecetche

112

,

H. Appelshäuser

52

,

S. Arcelli

28

,

N. Armesto

17

,

R. Arnaldi

110

,

T. Aronsson

135

,

I.C. Arsene

22

,

M. Arslandok

52

,

A. Augustinus

36

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R. Averbeck

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M.D. Azmi

19

,

M. Bach

42

, A. Badalà

106

,

Y.W. Baek

43

,

S. Bagnasco

110

, R. Bailhache

52

, R. Bala

89

, A. Baldisseri

15

,

F. Baltasar Dos Santos Pedrosa

36

,

R.C. Baral

60

,

A.M. Barbano

110

,

R. Barbera

29

,

F. Barile

33

, G.G. Barnaföldi

134

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L.S. Barnby

101

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69

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P. Bartalini

7

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115

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, M. Basile

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, N. Bastid

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, S. Basu

130

, B. Bathen

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G. Batigne

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A. Batista Camejo

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B. Batyunya

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P.C. Batzing

22

, I.G. Bearden

79

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C. Bedda

110

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N.K. Behera

48

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47

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I. Belikov

54

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F. Bellini

28

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H. Bello Martinez

2

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R. Bellwied

120

,

R. Belmont

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E. Belmont-Moreno

63

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V. Belyaev

75

, G. Bencedi

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S. Beole

27

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I. Berceanu

77

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A. Bercuci

77

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Y. Berdnikov

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D. Berenyi

134

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R.A. Bertens

56

,

D. Berzano

36

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27

, L. Betev

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A. Bhasin

89

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I.R. Bhat

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A.K. Bhati

86

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B. Bhattacharjee

44

, J. Bhom

126

, L. Bianchi

27

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120

, N. Bianchi

71

, C. Bianchin

133

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56

,

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, A. Bilandzic

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78

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S. Bjelogrlic

56

, F. Blanco

10

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D. Blau

99

, C. Blume

52

,

F. Bock

73

,

92

,

A. Bogdanov

75

,

H. Bøggild

79

,

L. Boldizsár

134

,

M. Bombara

40

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J. Book

52

, H. Borel

15

,

A. Borissov

95

, M. Borri

81

,

F. Bossú

64

,

M. Botje

80

,

E. Botta

27

,

S. Böttger

51

,

P. Braun-Munzinger

96

,