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Di-hadron and three-particle correlations at RHIC. Pawan Kumar Netrakanti Nuclear Physics Division B.A.R.C., Mumbai. The “Ridge” & “Cone” Theoretical model expectations 2- and 3-particle correlation results Reaction plane dependence Ridge and Cone Summary. Outline. WPCF-2011
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Di-hadron and three-particle correlations at RHIC Pawan Kumar Netrakanti Nuclear Physics Division B.A.R.C., Mumbai The “Ridge” & “Cone” Theoretical model expectations 2- and 3-particle correlation results Reaction plane dependence Ridge and Cone Summary Outline WPCF-2011 September 20th -24th, Tokyo
“Ridge” : Near-side correlations Au+Au 0-12% d+Au pTTrig > 4 GeV/c 2<pTAssoc<pTTrig GeV/c Phys. Rev. C 80 (2009) 064912. Near-side “ridge” in central Au+Au collisions. Properties similar to bulk Extends even upto higher rapidities. Long range correlations. Ridge persists to very high pT trigger particle QM09
“Ridge” : Theoretical model expectations 2)Turbulent color fields A.Majumder et.al Phys. Rev. Lett.99(2004)042301 1)In medium radiation + longitudinal flow push N.Armesto et.al Phys.Rev.Lett. 93(2004) 242301 4)Momentum Kick C.Y. Wong hep-ph:0712.3282 3) Recombination between thermal and shower partons R.C. Hwa & C.B. Chiu Phys. Rev. C 72 (2005) 034903 ?? Jet ?? ?? Ridge ?? Trigger 6) Glasma Flux tube A. Dumitru et. al Nucl. Phys. A 810, 91 (2008) K. Dusling et. al Nucl. Phys. A 828, 161 (2009) 5) Transverse flowboost S.A.Voloshin, Phys.Lett.B. 632(2006)490 E.Shuryak, hep-ph:0706.3531 Assoc. STAR 3-particle Acceptance Can we distinguish between these physics interpretations? 3-particle correlation in
“Cone” : Away-side correlations Au+Au • Away-side structure in 2-particle • correlations in central collisions. • Conical emission is a possible • explanation for shape: • Mach-cone shock waves • Čerenkov gluon radiation • Other explanations suggested: • Large angle gluon radiation • Deflected jets • deflected by radial flow • path-length dependent energy loss • Odd harmonics (v3 ,v5 …….) STAR PRL 95 152301 PHENIX PRL 97 052301 0 /2 Study di-hadron triggered correlations as a function of event plane angle () s = |t - | ~0o : In-plane s = |t - | ~90o: Out-of-plane Path length dependence of energy loss 3-particle correlations in azimuthal angle
in-plane fS~0 out-of-plane fS~90o Di-hadron correlations w.r.t EP Au+Au d+Au ||<1 STAR Preliminary Background : Mixed events (v2) ||>0.7 STAR Preliminary ||<0.7 arXiv : 1010.0690
Estimate of triangular flow ZYAM background normalization Using FTPC v2 (2.5 < || < 4.0) arXiv : 1010.0690 V32 / v22=0.1 STAR Preliminary Using Fourier v2{2,|Dh|>0.7} D • The above results represent the v2{2} and v4{y2}=1.15v22 subtracted signal. • Blue/green curves represent estimated/measured v3{2}. • Remainder v4{y2-uncorr}:
vn subtracted di-hadron correlations Au+Au 20-60%, pTtrig=3-4 GeV/c, pTassoc=1-2 GeV/c, large |Dh|>0.7, ZYAM background. 1/NtrigdN/dΔφ v3 flow background v4{uncorr} background STAR Preliminary STAR Preliminary Df Df Df • Black: v2{2} and v4{y2}=1.15v22 subtracted signal. • Red : v3{2} and v4{y2-uncorr} subtracted signal. • Results qualitatively consistent; near-side ridge slightly reduced due to vn.
vn subtr. dihadron correl. w.r.t. y2 and y3 Au+Au 20-60%, pTtrig=3-4 GeV/c, pTassoc=1-1.5 GeV/c, large |Dh|>0.7 Simple background normalization: <signal> = 0. y3 in-plane y2 in-plane 1/NtrigdN/dΔφ STAR Preliminary STAR Preliminary y2 out-plane y3 out-plane Df Df Dihadron correlation broadens from in- to out-of-plane in y2 while narrows in y3
Three-particle - correlations Phys. Rev. Lett. 102 (2009) 52302 3<pTTrig<4 GeV/c 1<pTAssoc<2GeV/c d+Au pp Au+Au 80-50% Au+Au 50-30% Au+Au 0-12% Au+Au 30-10% Have to estimate the vn effects….and working on it
Projections and angle 3<pTTrig<4 GeV/c 1<pTAssoc<2GeV/c d+Au 0-12% Au+Au shows significant peaks in off-diagonal projections at: 1.370.02(stat.) +0.06 (sys.) radians. Black: reaction plane frame 3-particle cummulant. Au+Au 0-12% -0.07 Phys. Rev. Lett. 102 (2009) 52302 • No significant pT dependence of observed emission angle. • Consistent with Mach-cone • Inconsistent with simple Čerenkov radiation
Three-particle - correlations 3<pTtrig<10GeV/c 1<pTassoc<3 GeV/c ||<0.7 Phys. Rev. Lett. 105, 022301 (2010) Same-sign triplets (AAT) Ridge : 4* AAT (AAT ) Same-sign associated pair and opposite sign trigger particle Jet-like: Total - Ridge Like-sign triplets : Dominated by ridge
Average pair densities 3<pTtrig<10GeV/c 1<pTassoc<3 GeV/c ||<0.7 Au+Au 0-12% Jet-like Ridge <Pjr> <Prr> <Pjj> <Pjr> <Pjr> <Pjr> <Prr> <Pjj> : 0.077 0.026 <Prr> : 0.114 0.039 Jet-ridge cross pairs <Pjr> : -0.004 0.025 Ridge production appears to be uncorrelated with the presence of jet. Phys. Rev. Lett. 105, 022301 (2010)
Radial and angular dependence Phys. Rev. Lett. 105, 022301 (2010) +/2 R -/2 Ridge is broad. No prominent substructures in ridge.
Data and models Model : Diagonal excess Data: Uniform 2)Turbulent color fields 1)In medium radiation + longitudinal flow push Model: uniform ridge, jet-ridge cross pairs. Data:Broad Ridge, no jet-ridge cross pairs 4) Momentum Kick 3) Recombination Model ?? Model : Jet-ridge cross pairs Data <Pjr> ~ 0 Model: jet-ridge cross pairs. Data : <Pjr> ~ 0 ?? ?? ?? 6) Glasma Flux tube 5) Transverse flowboost Model: Uniform, Jet-ridge cross pairs Model: Uniform. Jet-ridge cross pairs ???? Data: Uniform. No jet-ridge cross pairs Data: Uniform. No jet-ridge cross term
Summary Study of correlation of particles has improved the understanding of the heavy-ion collisions. “Ridge” • Jet and Ridge are “separated” by using the charge dependence. • Ridge broad and uniform, jet narrow in . • Ridge production appears to be uncorrelated to the presence of • the jet. • Ridge may have the path length dependence. “Cone” • Evolution of double peak structure from in-plane to out-of-plane • Dihadron correlations w.r.t. y2 and y3 may indicate • path-length/geometry effects • Physics mechanism still under debate. Thank you
Triangular flow Odd harmonics may not be neglected. Alver, Roland, PRC 81, 054905 (2010) ALICE, PRL 107, 032301 (2011) dN/d = 1 + 2v22cos(2Df) + 2v32cos(3Df) + 2v42cos(4Df)….
near near near Medium Medium M M Medium away away away di-jets deflected jets Conical Emission “Cone” : Theoretical model expectations Cerenkov gluon radiation : 3-particle correlation 2-particle correlation • Gluons radiated by superluminal partons. • Angle is dependent on emitted momentum. Čerenkov angle vs emitted particle momentum • I.M. Dremin (Nucl. Phys. A750: 233, 2006) • V. Koch et. al. (Phys. ReV. Lett. 96, 172302, 2006) Mach Cone : PNJL Model Trigger • Mach angle depends on speed of sound in medium • T dependent • Angle independent of associated pT. Can we distinguish between these physics interpretations? 3-particle correlation in Away-side
vn subtracted dihadron Correlations(pTtrig=3-4 GeV/c, pTassoc=1-2 GeV/c, large |Dh|>1) Simple background normalization: average signal = 0. Au+Au 80-50% 50-20% ZDC 12% STAR Preliminary STAR Preliminary STAR Preliminary Df Df Df Remark: Associated pT range ~ pTref. Case of data-data=0: jet-correl nonflow is subtracted; what’s left are similar between centralities, and resemble a v1 component. ALICE, PRL 107 (2011) pTref=0.2-5 GeV/c
vn subtracted dihadron correlations(pTtrig=3-6 GeV/c, pTassoc=2-3 GeV/c, |Dh|>1) • Bkgdsubtracted using two-particle vn{2} (flow+fluctuation). • vn{4} may not be very relevant: fluctuation effect is negative; v3{4}~0. • Near-side ridge in central collisions seems still visible. Ridge may be not entirely due to vn. • Away-side is suppressed at high-pT in central collisions. Shape modification at intermediate-low pT. • Residual non-flow should be present in the measured vn. Important next step is to separate non-flow contribution. Simple background normalization: <signal> = 0. 50-20% ZDC 12% 80-50% STAR Preliminary STAR Preliminary STAR Preliminary Df Df Df
STAR: Aihong Tang, Proc.24th Winter Workshop on Nuclear Dynamics Hydro, Boltzmann calculations: J. –Y. Ollitrault