N. N. Ajitanand Nuclear Chemistry, SUNY, Stony Brook For the PHENIX Collaboration Two and Three particle Flavor Dependent Correlations.

N. N. AjitanandNuclear Chemistry, SUNY, Stony Brook

For

the PHENIX Collaboration

Two and Three particle Flavor Dependent Correlations

Two and Three particle Flavor Dependent Correlations

N. N. Ajitanand, ISMD05 2

PRL87, 052301 (2001)

Central collisionsperipheral collisions

High Energy density matterHigh Energy density mattercreated at RHIC!created at RHIC!

High Energy density matterHigh Energy density mattercreated at RHIC!created at RHIC!

time to thermalize the system (0 ~ 0.2 - 1 fm/c)Bjorken~ 5 - 15

GeV/fm3

~ 35 – 100 ε0

dy

dE

RT

Bj0

2

11

Extrapolation From EExtrapolation From ETT

DistributionsDistributions

Phase Transition:3/1,170 fmGeVMeVT

Energy Density is Well Above theEnergy Density is Well Above the Predicted Value for the Phase TransitionPredicted Value for the Phase Transition

Energy Density is Well Above theEnergy Density is Well Above the Predicted Value for the Phase TransitionPredicted Value for the Phase Transition

Pressure build up Flow Pressure build up Flow

Hard Scattering Jets Hard Scattering Jets


Jets are an ideal diagnostic probe for the medium:Jets are an ideal diagnostic probe for the medium:Jets are an ideal diagnostic probe for the medium:Jets are an ideal diagnostic probe for the medium:

coneRFragmentation:

z hadron

parton

p

p

Jets are Remarkable Probes for this High-density Matter

• Auto-Generated on the right time-scale• Calibrated • Calculable (pQCD)• Accessible statistically via correlations in Au+Au

Jets are Remarkable Probes for this High-density Matter

• Auto-Generated on the right time-scale• Calibrated • Calculable (pQCD)• Accessible statistically via correlations in Au+Au


mesonsmesonsbaryonsbaryonsAssociated particle

• MesonMeson• BaryonBaryon 1.0 2.5 GeV/cpT 1.0 2.5 GeV/cpT

pT

2 ( )P assor Leading Hadron

2.5 4.0 GeV/cpT 2.5 4.0 GeV/cpT

Re al

mix

NC

N

Correlation FunctionCorrelation Function

Baryon & MesonMeson identification done identification done using EMC TOFusing EMC TOF

200 GeV Au Au200 GeV Au Au

The route to jets: Two Particle Azimuthal CorrelationsThe route to jets: Two Particle Azimuthal CorrelationsThe route to jets: Two Particle Azimuthal CorrelationsThe route to jets: Two Particle Azimuthal Correlations


Flow anisotropy

Jet asymmetry

Flavor Dependent CorrelationsFlavor Dependent CorrelationsFlavor Dependent CorrelationsFlavor Dependent Correlations

Strongly Flavor dependent Asymmetries and Anisotropies Strongly Flavor dependent Asymmetries and Anisotropies Observed in Two-Particle CorrelationsObserved in Two-Particle Correlations

Strongly Flavor dependent Asymmetries and Anisotropies Strongly Flavor dependent Asymmetries and Anisotropies Observed in Two-Particle CorrelationsObserved in Two-Particle Correlations

Meson-Meson (High Asymmetry)

Baryon-Baryon (Low Asymmetry)


Out-of-plane

22

22

2 sin cos 2 sin cos 42

2 2 sin

2 4

2 cos 2

R Ro

cut

R

c c

c c

vv

vv

v2 extinction for constrained correlationsv2 extinction for constrained correlations

Constrain Leading Particle out of Reaction Plane within a constraint byte

c

In-plane

c

is given by :2outv


i.e. Zero Yield At Minimum (ZYAM)

0

HarmoC Jet Functiorrelation Function onic n

C a H J

0

0

Jet Function

JC a H

a

min 0J

a0 is obtained without putting any constraint on the Jet shape by requiring

Two source model : Flow (H) & Jet (J)

Phys. Rev. C 72, 011902 (2005)Phys. Rev. C 72, 011902 (2005)

2

vary

~ 0

out

c

Operational Demonstration

untill v

Unconstrained harmonic

Constrained

Subtraction Extinction

High pt particle constrainedperpendicular to RP

Constraint byte

Decomposing the Flow and Jet signalsDecomposing the Flow and Jet signalsDecomposing the Flow and Jet signalsDecomposing the Flow and Jet signals

Reliable decomposition of Flow and Jet Contributions achievedReliable decomposition of Flow and Jet Contributions achievedvia two separate methods via two separate methods

Reliable decomposition of Flow and Jet Contributions achievedReliable decomposition of Flow and Jet Contributions achievedvia two separate methods via two separate methods

R

1 (A) LP

2 (B)

12

c


Input jet extremely well recovered!

Simulation Test of AnsatzSimulation Test of Ansatz Simulation Test of AnsatzSimulation Test of Ansatz Blue line: input jet-function obtained fromTagging jet-particles in simulation

Blue squares: Extracted jet-function


Input jet faithfully recovered even with unusual jet-shapes!

Rob

ust J

et-e

xtra

ctio

n ac

hiev

ed!

Rob

ust J

et-e

xtra

ctio

n ac

hiev

ed!

Simulation Test of Ansatz: Unusual Jet shapesSimulation Test of Ansatz: Unusual Jet shapes Simulation Test of Ansatz: Unusual Jet shapesSimulation Test of Ansatz: Unusual Jet shapes


Subtracted jet-pair Subtracted jet-pair distributionsdistributions

Subtracted jet-pair Subtracted jet-pair distributionsdistributions

Significant Broadening and Strong Modification of away-side Jet observed!

(Folded into 0-)

hep-ph/0411341Armesto,Salgado,Wiedemann

Correlations of Jets with flowing medium

local min

Wake effect or “sonic boom”

hep-ph/0411315Casalderrey-Solana,Shuryak,Teaneynucl-th/0406018 Stoecker


Meson-Meson

Baryon-Meson

Decomposing the Flow and Jet signalsDecomposing the Flow and Jet signalsDecomposing the Flow and Jet signalsDecomposing the Flow and Jet signals

ZYAM subtracted J(ZYAM subtracted J())

Flow extinguished C(Flow extinguished C() = J() = J())

Both methods agree!Both methods agree!Both methods agree!Both methods agree!

Meson-triggered and Meson-triggered and Baryon-triggeredBaryon-triggered

J(J() are different on near- ) are different on near- and away-side!and away-side!

Meson-triggered and Meson-triggered and Baryon-triggeredBaryon-triggered

J(J() are different on near- ) are different on near- and away-side!and away-side!


MesonMeson vs. vs.BaryonBaryon trigger trigger

Flavor dependent away-side modification in yield and shape Flavor dependent away-side modification in yield and shape Flavor dependent away-side modification in yield and shape Flavor dependent away-side modification in yield and shape

Flavor dependent near-side modificationFlavor dependent near-side modificationFlavor dependent near-side modificationFlavor dependent near-side modification


For meson trigger with associated meson For meson trigger with associated meson and baryon partners, similar modification and baryon partners, similar modification

observedobserved

. . /

. . near side away side

assoc baryon assoc baryon

assoc meson assoc meson


Proton vs anti-proton correlationsProton vs anti-proton correlationsProton vs anti-proton correlationsProton vs anti-proton correlations

Near-side yield non-zero only Near-side yield non-zero only for baryon-anti-baryon pairsfor baryon-anti-baryon pairs

Near-side yield non-zero only Near-side yield non-zero only for baryon-anti-baryon pairsfor baryon-anti-baryon pairs

Baryon number conservation in jet ?Baryon number conservation in jet ?Baryon number conservation in jet ?Baryon number conservation in jet ?

Poster (A. Sickles)


Possible modification of Jet-TopologyPossible modification of Jet-TopologyPossible modification of Jet-TopologyPossible modification of Jet-Topology

Wake Effect or “sonic boom” Wake Effect or “sonic boom”

hep-ph/0411315 Casalderrey-Solana,Shuryak,Teaneynucl-th/0406018 StoeckerHep-ph/0503158 Muller,Ruppert

hep-ph/0411341 Armesto,Salgado,Wiedemann

Correlation of Jet with flowing medium Correlation of Jet with flowing medium

Cherenkov gluon radiation Cherenkov gluon radiation

nucl-th/0507063 Koch, Majumder, X.-N. Wang


For flow extinction:

LP constrained relative to the reaction plane with Constraint byte C

adjusted to extinction value.

Poster (N. Ajitanand)

Novel Method to unravel Jet-Topologies: Three-Particle CorrelationsNovel Method to unravel Jet-Topologies: Three-Particle CorrelationsNovel Method to unravel Jet-Topologies: Three-Particle CorrelationsNovel Method to unravel Jet-Topologies: Three-Particle Correlations

2

3

2.5 4.0 (Gev/c)

1.0 2.5

1.0 2.5

LPT

assocT

assocT

p

p

p

2

3

2.5 4.0 (Gev/c)

1.0 2.5

1.0 2.5

LPT

assocT

assocT

p

p

p

Added topological information as compared to two particle correlationsAdded topological information as compared to two particle correlationsAdded topological information as compared to two particle correlationsAdded topological information as compared to two particle correlations

Mach coneMach cone

“Normal” Jet“Normal” Jet“Bent” Jet“Bent” Jet

Calibrating Three-Particle Correlations: Simulation TestCalibrating Three-Particle Correlations: Simulation TestCalibrating Three-Particle Correlations: Simulation TestCalibrating Three-Particle Correlations: Simulation Test

Powerful Tool to distinguish between different scenarios!Powerful Tool to distinguish between different scenarios!Powerful Tool to distinguish between different scenarios!Powerful Tool to distinguish between different scenarios!

Note characteristic ridges:Note characteristic ridges:Mach cone or Cherenkov coneMach cone or Cherenkov cone

Note characteristic ridges:Note characteristic ridges:Mach cone or Cherenkov coneMach cone or Cherenkov cone


PHENIX Preliminary

10%<cent<20%

Data: Three-Particle CorrelationsData: Three-Particle CorrelationsData: Three-Particle CorrelationsData: Three-Particle Correlations

Flow+Jet

PHENIX PreliminaryAfter Harmonic After Harmonic

Extinction:Extinction:

After Harmonic After Harmonic Extinction:Extinction:

Flow+JetJet onlyMach cone

Mach cone

Sim

ulat

ion

Sim

ulat

ion

Data indicates apparent cone structure for away-side jet!Data indicates apparent cone structure for away-side jet!Data indicates apparent cone structure for away-side jet!Data indicates apparent cone structure for away-side jet!


PHENIX Preliminary

20<cent<40 40<cent<60

PHENIX Preliminary

HHH Jet Only


0.7<pt_assoc<1.00.5<pt_assoc<0.7

HHH 10<cent<20%

1.0<pt_assoc<2.5

PHENIX PreliminaryPHENIX Preliminary

PHENIX Preliminary

PHENIX PreliminaryPHENIX Preliminary

Hadron-Meson-Meson Hadron-Meson-Meson Hadron-Meson-Meson Hadron-Meson-Meson Hadron-Baryon-Baryon Hadron-Baryon-Baryon Hadron-Baryon-Baryon Hadron-Baryon-Baryon

Strong flavor Dependence observedStrong flavor Dependence observed

(deg.)

valleypeak

PHENIX Preliminary

Hadron meson mesonHadron baryon baryon

(deg.)

Away peak

PHENIX Preliminary

Peak/Valley on ridge Axis Away Peak Position on Diagonal Axis

Hadron Hadron HadronHadron Hadron Hadron

HBB Flatter than HMMHBB Flatter than HMM Away Peak around 2 RadiansAway Peak around 2 Radians

Ridge axesRidge axes

Ridge peak to valley ratioRidge peak to valley ratio

Ridge axesRidge axes

Hadron-Hadron-Hadron

Bending Jet simulation

Cherenkov Jetsimulation

datadata


Extinction method on two particle correlations

Polar plot wrt leading particle axis

Express associated particle direction as theta,phi in frame with leading particle vector as z-axis

Plot theta along radial axis

Plot phi along azimuthal axis

LPLP


The Polar view The Polar view The Polar view The Polar view Cherenkov only in full acceptance

Cherenkov only in PHENIX

Flip away-sideCherenkov

Sim

ula

tion

Sim

ula

tion

SummarySummarySummarySummary

Novel methodologies developed to remove Novel methodologies developed to remove Harmonic contributionHarmonic contributionss and extract jet functions from and extract jet functions from Azimuthal CorrelationAzimuthal Correlation functions. functions.

Jet Jet ffunction unction and yields show and yields show sstrong dependence trong dependence on particle flavoron particle flavor

The jet landscape for three particle correlations obtained as a functionThe jet landscape for three particle correlations obtained as a functionof Centrality, pt and flavor of Centrality, pt and flavor

• CComparisonomparisonss to simulation to simulations indicates indicate “Mach cone” “Mach cone” like features in like features in Jet landJet land--scapescape for wide range of pT and centralities for wide range of pT and centralities Cone angle possibly related to sound speed, refractive Cone angle possibly related to sound speed, refractive index … etcindex … etc

• Hadron Baryon Baryon jet-scape flatter than Hadron Meson Meson

• Away side baryon/meson ratio 2X larger than near side Away side baryon/meson ratio 2X larger than near side baryon/meson ratiobaryon/meson ratio

• Proton anti-proton yields non-zero only on near side Proton anti-proton yields non-zero only on near side

N. N. Ajitanand Nuclear Chemistry, SUNY, Stony Brook For the PHENIX Collaboration Two and Three particle Flavor Dependent Correlations.

Documents

jetfunction slide

jet contributions

au slide

modification slide

input jetfunction

flow h jet j

b slide

wang slide