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Elena Bruna for the STAR Collaboration Yale University Quark Matter 09, Knoxville 03/29 -04/04 2009
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Our approach Investigate Jet Fragmentation Functions in AuAu w.r.t. pp We use di-jets in triggered events: “Trigger” jet: large neutral energy in single tower jet comes from surface – will test this ! “Recoil” jet: away side of trigger jet jet travels thru the medium and suffers quenching – will test this! Di-jet rates If we can fully reconstruct jets, the di-jet rate in AuAu should not be suppressed – will test this! If unbiased jet population, quenching modification of Fragmentation Function – will test this! Elena Bruna for the STAR Collaboration - QM09 2 “recoil” jet “trigger” jet
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Experimental setup for pp and AuAu Trigger setup with the STAR e.m. calorimeter (EMC): High Tower Trigger (HT): tower 0.05x0.05 (ηx ϕ ) with E t > 5.4 GeV Data Set analyzed: pp (2006): HT trigger events AuAu (2007): HT trigger events, 0-20% central Jet Finder Algorithm: Anti-kT (from FastJet package) R=0.4, | jet |<1-R charged particle p T (TPC), 0.1<p T <20 GeV/c neutral tower E t 0.05x0.05 (ηx ϕ ) (EMC) Hadronic correction Electron correction for double counting 3 Elena Bruna for the STAR Collaboration - QM09 [M. Cacciari, G. Salam, G. Soyez 0802.1188]
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Jet Finding in Heavy-Ion collisions GOAL: Fully reconstruct jets in high-multiplicity environment How to suppress background: Reduce the jet area (in pp >80% of p T (Jet) in R<0.4) Apply a p Tcut,particle on tracks and towers before Jet Finding 4 ϕ η p t per grid cell [GeV] STAR preliminary ~ 21 GeV di-jet event Elena Bruna for the STAR Collaboration - QM09 pp √s=200 GeV STAR Preliminary
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Event Background in AuAu Background fluctuations [Gev] RcRc Event-by-event basis: p T (Jet Measured) ~ p T (Jet) + A ± √A is the background energy per unit area A is the jet area , A estimated from FastJet algorithm Background energy in R=0.4 ~ 45 GeV Substantial region-to-region background fluctuations Comparable in magnitude from FastJet and naïve random cones ⇒ significantly reduced by applying a p T cut,particle on tracks and towers 5 STAR Preliminary Multiplicity (GeV/area) Elena Bruna for the STAR Collaboration - QM09 AuAu √s=200 GeV STAR Preliminary
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Background to di-jets in AuAu Background di-jet rate = “Fake” + Additional Hard Scattering Fake jets: background particles clustered as jets Additional hard scattering contribution in HI Collisions: uncorrelated in w.r.t. Trigger jet (does not contribute in inclusive jet measurements) Is estimated using “jet” spectrum at 90° to trigger jet Use “jet” spectrum at 90° to correct for “fake” di-jets 6 Trigger jet p T > 10 GeV p Tcut,particle = 0.1 GeVp Tcut,particle =2 GeV Trigger jet p T > 10 GeV di-jet Trigger jet Elena Bruna for the STAR Collaboration - QM09 STAR Preliminary Au+Au HT 0- 20%
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Towards Fragmentation Functions GOAL: get a good energy estimate for recoil jet in AuAu Two approaches: 1) Use trigger jet energy as proxy for recoil jet: Trigger jet found with p Tcut,particle on tracks and towers small background fluctuations Energy of trigger jet used for FF in recoil jet (gamma-jet like approach) 2) The energy of recoil jet used Recoil jet found with no p Tcut,particle large background fluctuations Use recoil jet energy after correcting for background fluctuations (unfolding) 7 Elena Bruna for the STAR Collaboration - QM09 HT trigger “recoil” jet “trigger” jet
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Fragmentation Functions In AuAu: FF(Jet)=FF(Jet+Bkg)-FF(bkg) Bkg estimated from charged particle spectra out of jets, rescaling to the area with R=0.7 Elena Bruna for the STAR Collaboration - QM09 8 Charged particle FF: R(FF)=0.7 AuAu (Jet+Bkg) AuAu (Bkg) p T Jet rec (trigger)>20 GeV & p Tcut,particle =2 GeV STAR Preliminary large uncertainties due to background (further systematic evaluation needed) rec =ln( p T,Jet rec / p T,hadr ) low z high z
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Assumption: trigger jet in AuAu is equivalent to pp vacuum fragmentation (no large nuclear effects) Shapes of spectra and FF are similar in pp and AuAu trigger jets not significantly modified Trigger jet energy can be used as a proxy for recoil jet Trigger Jet Energy as a proxy? 9 Elena Bruna for the STAR Collaboration - QM09 pT(trigger jet)>20 GeV Ptcut=2 GeV Ratio of FF: AuAu/pp STAR Preliminary Normalized spectra above 7 GeV for shape comparison Uncorrected spectra STAR Preliminary z rec =p T,hadr /p T,Jet rec (trigger) p T Jet rec (trigger)>20 GeV p Tcut,particle =2 GeV large uncertainties due to background (further systematic evaluation needed)
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Recoil Jet FF from 1 st approach 10 Energy of trigger jet used p T Jet rec (trigger)>20 GeV & p Tcut,particle =2 GeV p T Jet rec (recoil)>25 GeV & p Tcutparticle =0.1 GeV CAVEAT: nuclear k T effect not taken into account, expected to be of the order 2-3 GeV No significant modification of FF of recoil jets with p Trec >25 GeV STAR Preliminary Elena Bruna for the STAR Collaboration - QM09 large uncertainties due to background (further systematic evaluation needed) z rec =p T,hadr /p T,Jet rec (trigger) R=0.4 R=0.7 Trigger jet energy uncertainty
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Large background fluctuations in AuAu w/o p Tcut,particle Parameterized by Gaussian smearing with =6 GeV in AuAu 0-20% Solution: unfold background fluctuations and extract “true” spectrum allows to compare pp and AuAu Data driven – model independent approach 2 nd approach: “unfolding” method Elena Bruna for the STAR Collaboration - QM09 11 Pythia jets Pythia+AuAu MB jets STAR Preliminary Simulation: Effect of bkg fluctuations on true jet spectrum
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di-jet spectra from unfolding Significant suppression seen Indicates: Energy shifts to larger cone radii (>0.4) Some Jets “absorbed” 12 Elena Bruna for the STAR Collaboration - QM09 STAR Preliminary Biased to extreme path length of recoil jets
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Recoil Jet FF from unfolding Elena Bruna for the STAR Collaboration - QM09 13 p Trec (trigger) > 10 GeV & p Tcut,particle =2 GeV p Trec (recoil) > 25 GeV & p Tcut,particle =0.1 GeV Energy of recoil jet used No significant modification of FF of recoil jets with p Trec >25 GeV Dominated by non-interacting jets? STAR Preliminary R=0.4 R=0.7 p t,rec (AuAu)>25 GeV ⇒ ~ 25 GeV STAR Preliminary large uncertainties due to background (further systematic evaluation needed)
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Recoil Jet FF: Lower Jet p T 14 Elena Bruna for the STAR Collaboration - QM09 Reducing the jet energy indication of modification of FF p Trec (trigger) > 10 GeV & p Tcut,particle =2 GeV 20<p Trec (recoil)<25 GeV & p Tcut,particle =0.1 GeV Energy of recoil jet used STAR Preliminary large uncertainties due to background (further systematic evaluation needed) R=0.4 R=0.7 20<p t,rec (AuAu)<25 GeV ⇒ ~ 18 GeV
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Summary Evidence that di-jet rates are suppressed A. Recover a fraction of the jet energy shift towards smaller energies B. Do not reconstruct jet Biased jet population selected p Trec (recoil)>25 GeV No strong modification of FF (two approaches lead to a similar conclusion) High-energy recoil jets are biased (non interacting) 20<p Trec (recoil)<25 GeV di-jet rates less suppressed A. “Feed-down” from high-energy jets B. More complete jet energy recovered Indication of modification of FF Elena Bruna for the STAR Collaboration - QM09 15 STAR Preliminary p t,rec (AuAu)>25 GeV STAR Preliminary 20<p t,rec (AuAu)<25 GeV
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Outlook di-jets are a promising tool to study Jet Fragmentation Functions Extreme selection: recoil jets have a longer in-medium path Investigate further the systematics Compare to quenching models ( JEWEL, qPYTHIA, … ) How can we recover an unbiased jet population? Look at larger radii Look at di-jets in AuAu Min Bias Change path length bias? Investigate sub-jets / energy flow profile Clustering/re-distribution of energy within the jet Elena Bruna for the STAR Collaboration - QM09 16
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Extra slides Elena Bruna for the STAR Collaboration - QM09 17
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Trigger jet: FF ratio Elena Bruna for the STAR Collaboration - QM09 18
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