Electromagnetic probes of the QGP Elena Bratkovskaya Institut für Theoretische Physik & FIAS, Uni....

Electromagnetic probes of the Electromagnetic probes of the QGPQGP

EElenalena Bratkovskaya Bratkovskaya

Institut für Theoretische PhysikInstitut für Theoretische Physik & FIAS, & FIAS,

Uni. FrankfurtUni. Frankfurt

INT Program INT-14-3INT Program INT-14-3 ‚‚Heavy Flavor and Electromagnetic Probes in Heavy Ion CollisionsHeavy Flavor and Electromagnetic Probes in Heavy Ion Collisions‘‘

September 15 - October 10, 2014September 15 - October 10, 2014

Elena Bratkovskaya (Uni. Frankfurt) 2

Electromagnetic probes: photons and dileptonsElectromagnetic probes: photons and dileptons

Advantages:Advantages:

dileptons and real photons are dileptons and real photons are emitted from different stages of the emitted from different stages of the reaction and not effected by final-reaction and not effected by final-state interactionsstate interactions

provide undistorted information provide undistorted information about their production channelsabout their production channels

promising signal of QGP – promising signal of QGP – ‚thermal‘ photons and dileptons‚thermal‘ photons and dileptons

Disadvantages:Disadvantages:

low emission ratelow emission rate

production from hadronic coronaproduction from hadronic corona

many production sources which many production sources which cannot be individually cannot be individually disentangled by experimental datadisentangled by experimental data

Requires Requires theoretical modelstheoretical models which describe the which describe the dynamicsdynamics of heavy-ion collisions during of heavy-ion collisions during the whole time evolution!the whole time evolution!

Feinberg (76), Shuryak (78)


Hadron phase:Hadron phase: using using VDMVDM::mm~> ~> mDmD in-medium in-medium -meson spectral function-meson spectral function from many-body approach from many-body approach ( cf.( cf. Rapp, Chanfrey, Wambach, NPA 617Rapp, Chanfrey, Wambach, NPA 617 ( (1997) 472 )1997) 472 )

Modeling of photon/dilepton emissionModeling of photon/dilepton emission

I.I. Emission rate Emission rate from from thermal field theorythermal field theory:: Feinberg (76), McLerran, Toimela (85)Feinberg (76), McLerran, Toimela (85),, Weldon (90), Weldon (90), Gale, Gale, KapustaKapusta (91)(91)

,T)f(q)|q|(qΠImπ)2(

g

qd

Rdq 00

μν3

μν

3

3

0

,T)f(q)q,(qΠImLq

1

π)2(

e2

pdpd

RdEE 00

μν46

2

33

3

Photons:Photons:

Dileptons:Dileptons:

1e

1,T)f(q T/q0 0

Bose Bose distribution:distribution:

LL is the electromagnetic leptonic tensor is the electromagnetic leptonic tensor

is the is the retarded photon self energyretarded photon self energy at finite T : at finite T : Tipx4 )]0(J),x(J[exdi~

030q

340 σπ4

T

qdxd

dRq

0

Rates at qRates at q000 are related to electric 0 are related to electric conductivity conductivity 00 Probe of Probe of electric properties of the QGPelectric properties of the QGP

PHSD plot from Cassing et al., PRL 110 (2013) 182301;PHSD plot from Cassing et al., PRL 110 (2013) 182301;cf. also NJL: Marty et al., PRC87 (2013) cf. also NJL: Marty et al., PRC87 (2013) 3, 0349123, 034912

PRL 110 (2013) 182301PRL 110 (2013) 182301 study of thestudy of the in-medium properties of hadrons in-medium properties of hadrons at high baryon density and Tat high baryon density and T

restoration restoration of chiral symmetry (of chiral symmetry (-a-a11):): mDmD ~> chiral condensate (by ~> chiral condensate (by Weinberg sumWeinberg sum rules) rules) (cf. Hohler, Rapp, arXiv:(cf. Hohler, Rapp, arXiv:1311.29211311.2921))


Modeling of hadronic elementary reactionsModeling of hadronic elementary reactions:: Chiral models, OBE models,… (Born-type diagrams) Chiral models, OBE models,… (Born-type diagrams)

Problems:Problems: very very limited experimental informationlimited experimental information on mm, mB elementary reactions on mm, mB elementary reactions

Hadrons change their properties in the hot and dense medium: Hadrons change their properties in the hot and dense medium: from vacuum cross sections to from vacuum cross sections to in-mediumin-medium, i.e., i.e. from ‚T-matrix‘ to ‚G-matrix‘ approaches (many-body theory)from ‚T-matrix‘ to ‚G-matrix‘ approaches (many-body theory)

E.g. : E.g. : -meson collisional broadening – important for dilepton studies!-meson collisional broadening – important for dilepton studies!

Modeling of photon/dilepton emissionModeling of photon/dilepton emission

f(E)f(E) - distribution function - distribution function

II.II. Emission rate Emission rate from from relativistic kinetic theoryrelativistic kinetic theory::(e.g. for 1+2 (e.g. for 1+2

33212

32144

333

3

232

3

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pd

E)2(2

pd

qd

Rdq

– – invariant invariant scattering matrix elementscattering matrix element from microscopic models from microscopic models

Applicable also for Applicable also for non-equilibriumnon-equilibrium

system !system !


Production sources of photons in p+p and A+AProduction sources of photons in p+p and A+A

Decay photonsDecay photons (in pp and AA): (in pp and AA): m m + X, m = + X, m = ‘, a‘, a11, …, …

Direct photons:Direct photons: (inclusive(=total) – decay) – measured experimentally(inclusive(=total) – decay) – measured experimentally

hard photonshard photons:: (large p(large pTT, , in pp and AA) in pp and AA)

thermal photonsthermal photons:: (low p(low pTT, in AA) , in AA)

jet-jet--conversion-conversion in plasma in plasma (large p(large pTT, in AA), in AA)

jet-medium photonsjet-medium photons (large p(large pTT, in AA) - scattering of, in AA) - scattering of hard partons with thermalized hard partons with thermalized partons q partons qhardhard+g+gQGPQGP+q ,+q , q qhardhard++qbarQGPQGP+q +q

• QGPQGP

• Hadron gasHadron gas

• prompt prompt (pQCD; initial hard N+N scattering)(pQCD; initial hard N+N scattering)

• jet fragmentationjet fragmentation (pQCD; qq, gq bremsstrahlung)(pQCD; qq, gq bremsstrahlung) (in AA can be modified by parton energy loss in medium) (in AA can be modified by parton energy loss in medium)

hardhardsoftsoft

PHENIXPHENIX


Production sources of thermal photonsProduction sources of thermal photons

Thermal QGP:Thermal QGP:

Compton scatteringCompton scattering q-qbar annihilationq-qbar annihilation

Hadronic sources:Hadronic sources:

(1) (1) secondary mesonic interactions:secondary mesonic interactions:

++ + ++K+K + +……

(2) (2) meson-meson and meson-baryon meson-meson and meson-baryon bremsstrahlung: bremsstrahlung: m+mm+m m+m+ m+m+m+Bm+B m+B+ m+B+m=m=*,… , B=p,*,… , B=p,,…,…

HG rates (1) used in hydro (‘TRG’ model) - HG rates (1) used in hydro (‘TRG’ model) - massive Yang-Mills approach: massive Yang-Mills approach:

Turbide, RappTurbide, Rapp,, Gale, PRC 69, 014903 (2004) Gale, PRC 69, 014903 (2004)

HTL program (KlimovHTL program (Klimov (1981), Weldon (1982), (1981), Weldon (1982), Braaten & Pisarski (1990);Braaten & Pisarski (1990); Frenkel & TaylorFrenkel & Taylor (1990)(1990), …, …))

pQCD LO:pQCD LO: ‘AMY’‘AMY’ Arnold, Moore, YaffeArnold, Moore, Yaffe,, JHEP 12, 009 (2001) JHEP 12, 009 (2001) QGP rates uQGP rates used insed in hydrohydro ! ! pQCD NLO:pQCD NLO: Gale, GGale, Ghiglierihiglieri (2014) (2014)

Models:Models: chiral models, OBE, SPA … chiral models, OBE, SPA … Kapusta, Gale, Haglin (91), Rapp (07) Kapusta, Gale, Haglin (91), Rapp (07), …, …

Rates Rates beyond pQCDbeyond pQCD: : off-shell massive q, g off-shell massive q, g (used in PHSD) (used in PHSD) O. Linnyk, JPG 38 (2011) 025105O. Linnyk, JPG 38 (2011) 025105

HG (1)+ ‘Baryons’HG (1)+ ‘Baryons’

+ soft …+ soft …


2010: Direct photon spectra for Au+Au at s2010: Direct photon spectra for Au+Au at s1/21/2=200 GeV=200 GeV

PHENIX, PHENIX, Phys.Phys. Rev. C81 (2010) 034911 Rev. C81 (2010) 034911

MModelsodels:: assume formation of a hot assume formation of a hot QGPQGP with with initial temperature Tinitial temperature Tinitinit at at thermalization time thermalization time 00

Huge variations in Huge variations in TTinitinit andand 00!!

Warning: some model evolution Warning: some model evolution waswas not fitted to the final hadron spectra!not fitted to the final hadron spectra!

Variety of model predictions:Variety of model predictions:fireball, 2+1 Bjorken hydro, 3+1 ideal hydro fireball, 2+1 Bjorken hydro, 3+1 ideal hydro with different initial conditions and EoSwith different initial conditions and EoS

Photon spectra show sensitivity to the dynamical evolution!Photon spectra show sensitivity to the dynamical evolution!


PHENIX: Photon vPHENIX: Photon v22 puzzle puzzle

PHENIXPHENIX (also now ALICE): (also now ALICE): strong elliptic flow of photons strong elliptic flow of photons vv22((dirdir)~)~ v v22(() )

Result from a variety of Result from a variety of models:models: vv22((dirdir) << ) << vv22(() )

Problem:Problem: QGP radiation occurs at QGP radiation occurs at early timesearly times when when flow is not yet developed flow is not yet developed expected expected vv22((QGPQGP) ) 00

vv22 = = weighted average weighted average a large QGP contribution a large QGP contribution gives small gives small vv22((QGPQGP))

Linnyk et al., PRC 88 (2013) 034904Linnyk et al., PRC 88 (2013) 034904

PHENIXPHENIX

Challenge for theory – Challenge for theory – to describe spectra, vto describe spectra, v22, v, v3 3 simultaneouslysimultaneously ! !

NEW NEW (QM’2014):(QM’2014): PHENIPHENIX, ALICE X, ALICE experiments -experiments - large photon v large photon v3 3 ! !

i

ii

i2

i

2 N

vNv


1. Hydro: Influence of e-b-e fluctuating initial conditions1. Hydro: Influence of e-b-e fluctuating initial conditions

RR.. Chatterjee Chatterjee et al. et al.,, PRPRCC 88, 034901 (2013) 88, 034901 (2013)

Jyväskylä Jyväskylä ideal hydro ideal hydro

Fluctuating initial conditions: Fluctuating initial conditions: slight increase at high pslight increase at high pTT for yield and v for yield and v2 2

small effect, right direction!small effect, right direction!

Ideal QGP and HG fluid Ideal QGP and HG fluid Initial: Initial: ‚bumpy‘ ebe ‚bumpy‘ ebe MC Glauber MC Glauber EoS: lQCDEoS: lQCD

From smooth Glauber initial conditions From smooth Glauber initial conditions to to event-by-event hydro with fluctuating initial conditionsevent-by-event hydro with fluctuating initial conditions


2. From ideal to viscous hydro: 2. From ideal to viscous hydro: direct photons as a QGPdirect photons as a QGP viscometer viscometer??

(2+1)D VISH2+1 (Ohio State) :(2+1)D VISH2+1 (Ohio State) : CC.. Shen Shen et al., et al., arXiv:1308.2111arXiv:1308.2111, arXiv:1403.7558, arXiv:1403.7558

viscous QGP and HG fluidviscous QGP and HG fluid Initial: ‚bumpy‘ ebe from MC Glauber /KLN Initial: ‚bumpy‘ ebe from MC Glauber /KLN EoS: lQCDEoS: lQCD

equilibrium contributionequilibrium contribution first order viscous correctionfirst order viscous correction

TThe thermal photon emission rates he thermal photon emission rates with with viscous correctionsviscous corrections::

Effect of sEffect of shear viscoshear viscosity:ity: * small enhancement of the photon yield * small enhancement of the photon yield * * suppression of photon vsuppression of photon v22 * effect on v* effect on v22 for photons is stronger than for hadrons for photons is stronger than for hadrons

Thermal photons: Thermal photons: QGP +HGQGP +HG

RHIC energyRHIC energy

(3+1)D MUSIC (McGill):(3+1)D MUSIC (McGill):M. Dion et al., PRC84 (2011) 064901M. Dion et al., PRC84 (2011) 064901

viscous QGP and HG fluid viscous QGP and HG fluid Initial: ‚bumpy‘ ebe from IP-Glasma Initial: ‚bumpy‘ ebe from IP-Glasma EoS: lQCDEoS: lQCD

Important!

Important!

(3+1)D MUSIC - 2014:(3+1)D MUSIC - 2014:J-F. Paquet et al. (2014J-F. Paquet et al. (2014) )

viscous QGP and HG fluid (viscous QGP and HG fluid (/s=0.22)/s=0.22)

Initial: Initial: ‚bumpy‘ ebe from IP-Glasma‚bumpy‘ ebe from IP-Glasma generate initial flow due to fluctuations of ICgenerate initial flow due to fluctuations of IC

EoS: lQCDEoS: lQCD QGP photon rate: AMYQGP photon rate: AMY HG photon rate: TGR for meson gas with viscous HG photon rate: TGR for meson gas with viscous corrections + Rapp spectral function for corrections + Rapp spectral function for -mesons -mesons to account for the baryonic contributions to account for the baryonic contributions


3. Influence of Glasma initial conditions with initial flow3. Influence of Glasma initial conditions with initial flow

ALICE (preliminary)ALICE (preliminary)Au+Au, Au+Au, 2760 GeV2760 GeV

MUSIC with IC-Glasma MUSIC with IC-Glasma describes hadronic describes hadronic flow flow v vnn systematics atsystematics at RHIC & LHCRHIC & LHC, , however, however, missing vmissing v2,2, v v33 of photons of photons!!

‚ ‚Bumpy‘ ebe from IP-Glasma - Bumpy‘ ebe from IP-Glasma - small effectsmall effect

IP-Glasma:IP-Glasma:Schenke et al., PRLSchenke et al., PRL108 108 (2012) 252301 2012) 252301

tel:%282012%29%20252301


4. Hydro with pre-equilibrium flow4. Hydro with pre-equilibrium flow

pre-equilibrium flowpre-equilibrium flow in (2+1)D VISH2+1 - 2014: in (2+1)D VISH2+1 - 2014: CC.. Shen Shen et al., et al., arXiv:1308.2111arXiv:1308.2111, arXiv:1403.7558; Talk by, arXiv:1403.7558; Talk by C.C. Shen @ QM Shen @ QM‘‘20142014 viscous viscous QGP and HG fluid (QGP and HG fluid (/s=0.18)/s=0.18) Initial: ‚bumpy‘ ebe from MC Glauber /KLN Initial: ‚bumpy‘ ebe from MC Glauber /KLN EoS: lQCDEoS: lQCD QGP photon rate: AMYQGP photon rate: AMY HG photon rate: TGR for meson gas with viscous corrections HG photon rate: TGR for meson gas with viscous corrections

• Generation of Generation of pre-equilibrium flowpre-equilibrium flow::using using free-streaming modelfree-streaming model to evolve the partons to evolve the partons right after the collisions to 0.6 fm/cright after the collisions to 0.6 fm/c + + Landau matching to switch to viscous Landau matching to switch to viscous hhydroydro

quick development of momentum anisotropy quick development of momentum anisotropy with saturation near Twith saturation near TCC

Warning:Warning: results can be considered as results can be considered as upper limitupper limit for the pre-equilibrium flow effect! for the pre-equilibrium flow effect!

ALICE (preliminary)ALICE (preliminary)Au+Au, Au+Au, 2760 GeV2760 GeV

Pre-equilibrium flow:Pre-equilibrium flow:

small effect on photon spectrasmall effect on photon spectra

slight slight increase of vincrease of v22

‚‚Initial‘ flow:Initial‘ flow: rapid increase in bulk v rapid increase in bulk v22 in fireball model in fireball model van Hees, Gale, Rapp, PRC84 (2011) 054906van Hees, Gale, Rapp, PRC84 (2011) 054906


Are thermal photons a QGP thermometer?Are thermal photons a QGP thermometer?

Measured Measured Teff > ‚true‘ TTeff > ‚true‘ T

,blue shift‘,blue shift‘ due to the due to the radial flowradial flow!!

only only ~1/3 at LHC~1/3 at LHC and and ~1/4 at RHIC~1/4 at RHIC of total photons come of total photons come from hot QCD ( from hot QCD (T>250 MeVT>250 MeV))

(2+1)d viscous hydro VISH2+1(2+1)d viscous hydro VISH2+1 (Ohio) (Ohio)C. Shen et al., PRC89 (2014) 044910; arXiv:1308.2440C. Shen et al., PRC89 (2014) 044910; arXiv:1308.2440

Contour plots of differential photon yield Contour plots of differential photon yield vs. time and temperature T and T vs. time and temperature T and Teff eff ::

TTeffeff= -1/slope vs. local fluid cell temperature T= -1/slope vs. local fluid cell temperature T

Time evolution of the effective temperatureTime evolution of the effective temperature

Exp. Data:Exp. Data:

RHIC: TRHIC: Teffeff=221+19+19 MeV=221+19+19 MeV

LHC: TLHC: Teffeff=304+51 MeV=304+51 MeV

T1

1Teff


What else?!What else?!

Further Further improvements of hydro modelsimprovements of hydro models ? ?

Bulk viscosityBulk viscosity

Modeling of initial pre-equlibrium effectsModeling of initial pre-equlibrium effects

… …

From hydro to non-equilibrium From hydro to non-equilibrium microscopic transport modelsmicroscopic transport models : :

use use PHSD as a ‚laboratory‘PHSD as a ‚laboratory‘ for that for that

• Non-equilibrium dynamicsNon-equilibrium dynamics ? ?

• Missing strength related to Missing strength related to hadronic stagehadronic stage??

From hadrons to partons

In order to study the In order to study the phase transitionphase transition from from hadronic to partonic matter – hadronic to partonic matter – Quark-Gluon-PlasmaQuark-Gluon-Plasma – – we we need need a a consistent non-equilibrium (transport) model withconsistent non-equilibrium (transport) model withexplicit explicit parton-parton interactionsparton-parton interactions (i.e. between quarks and gluons) (i.e. between quarks and gluons) beyond strings!beyond strings!explicit explicit phase transitionphase transition from hadronic to partonic degrees of freedom from hadronic to partonic degrees of freedomlQCD EoS lQCD EoS for partonic phasefor partonic phase

PParton-arton-HHadron-adron-SString-tring-DDynamics (ynamics (PHSDPHSD))

QGP phase QGP phase described bydescribed by

DDynamical ynamical QQuasiuasiPParticle article MModel odel (DQPMDQPM)

Transport theoryTransport theory: off-shell Kadanoff-Baym equations for the Green-: off-shell Kadanoff-Baym equations for the Green-functions Sfunctions S<<

hh(x,p) in phase-space representation for the(x,p) in phase-space representation for the partonic partonic andand

hadronic phase hadronic phase (applicable for strongly interacting system!)(applicable for strongly interacting system!)

A. Peshier, W. Cassing, PRL 94 (2005) 172301;A. Peshier, W. Cassing, PRL 94 (2005) 172301; Cassing, NPA 791 (2007) 365: NPA 793 (2007) Cassing, NPA 791 (2007) 365: NPA 793 (2007)

W. Cassing, E. Bratkovskaya, PRC 78 (2008) 034919;W. Cassing, E. Bratkovskaya, PRC 78 (2008) 034919;NPA831 (2009) 215; NPA831 (2009) 215;

W. Cassing, W. Cassing, EEPJ ST PJ ST 168168 (2009) (2009) 33

DQPM DQPM describes describes QCDQCD properties in terms ofproperties in terms of ‚‚resummedresummed‘‘ single-particle single-particle Green‘s functionsGreen‘s functions – in the sense of a two-particle irreducible (– in the sense of a two-particle irreducible (2PI2PI) approach:) approach:

A. Peshier, W. Cassing, PRL 94 (2005) 172301;A. Peshier, W. Cassing, PRL 94 (2005) 172301; Cassing, NPA 791 (2007) 365: NPA 793 (2007) Cassing, NPA 791 (2007) 365: NPA 793 (2007)

Dynamical QuasiParticle Model (DQPM) - Dynamical QuasiParticle Model (DQPM) - Basic ideas:Basic ideas:

the resummed properties are specified by the resummed properties are specified by complex self-energiescomplex self-energies which depend which depend on temperatureon temperature:: ---- the the real part of self-energies real part of self-energies ((ΣΣqq,, Π)Π) describes a describes a dynamically generateddynamically generated massmass

((MMqq,M,Mgg));; -- -- the the imaginary part imaginary part describes thedescribes the interaction widthinteraction width of partonsof partons ( (qq,, gg))

space-like part of energy-momentum tensor space-like part of energy-momentum tensor TTdefines the potential energy defines the potential energy density and the density and the mean-field potentialmean-field potential (1PI) for quarks and gluons (1PI) for quarks and gluons (U (Uqq, U, Ugg))

2PI frame2PI framewwork ork guarantguarantiies a consistent description of the systemes a consistent description of the system in- and out-ofin- and out-off f equilibriumequilibrium on the basis ofon the basis of Kadanoff-Baym equations Kadanoff-Baym equations

Gluon propagator:Gluon propagator: ΔΔ-1-1 = P = P22 - Π - Π gluon self-energy:gluon self-energy: Π = MΠ = Mgg22- i2- i2ggωω

Quark propagator:Quark propagator: SSqq-1-1 = P = P22 - Σ - Σqq quark self-energy:quark self-energy: ΣΣqq= M= Mqq

22- i2- i2qqωω

16

The Dynamical QuasiParticle Model (DQPM)The Dynamical QuasiParticle Model (DQPM)

Basic idea: Basic idea: interacting quasi-particles:interacting quasi-particles: massive quarks and gluonsmassive quarks and gluons (g, q, q(g, q, qbarbar))

withwith Lorentzian spectral functions :Lorentzian spectral functions :

DQPM: Peshier, Cassing, PRL 94 (2005) 172301;DQPM: Peshier, Cassing, PRL 94 (2005) 172301; Cassing, NPA 791 (2007) 365: NPA 793 (2007) Cassing, NPA 791 (2007) 365: NPA 793 (2007)

fit to lattice (lQCD) results fit to lattice (lQCD) results (e.g. entropy density)(e.g. entropy density) with 3 parameters with 3 parameters

17

)g,q,qi(

SS(T)(T) - - running couplingrunning coupling

lQCD: pure gluelQCD: pure glue

(T)ω4(T)Mpω

(T)ω4)T,(ρ

2i

222i

22

ii

Modeling of the Modeling of the quark/gluon masses and widthsquark/gluon masses and widths HTL limit at high T HTL limit at high T

)T(f)T()(T),T(f)T()(TM HTLSiHTLSi

Quasi-particle properties:Quasi-particle properties: large width and mass for gluons and quarkslarge width and mass for gluons and quarks

TTCC=158 MeV=158 MeV

CC=0.5 GeV/fm=0.5 GeV/fm33

1818

Initial A+A collisionsInitial A+A collisions:: - - stringstring formation in primary NN collisions formation in primary NN collisions -- strings decay to strings decay to pre-hadronspre-hadrons ( (BB - baryons, - baryons, mm – mesons) – mesons)

Formation of QGP stage Formation of QGP stage by dissolution of pre-hadronsby dissolution of pre-hadrons intointo massive colored quarks + mean-field energy massive colored quarks + mean-field energy based on the based on the Dynamical Quasi-Particle Model (DQPM)Dynamical Quasi-Particle Model (DQPM) which defines which defines quark spectral functions, quark spectral functions, masses masses MMqq(()) and widths and widths qq (()) + + mean-field potential mean-field potential UUqq at givenat given – local energy density – local energy density ( related by lQCD EoS to ( related by lQCD EoS to T T - temperature in the local cell)- temperature in the local cell)

Parton Hadron String DynamicsParton Hadron String Dynamics

I. I. From hadrons to QGP:From hadrons to QGP: QGP phase:QGP phase: > > criticalcritical

II. II. Partonic Partonic phasephase - QGP: - QGP: quarks and gluons (= quarks and gluons (= ‚dynamical quasiparticles‘)‚dynamical quasiparticles‘)

withwith off-shell spectral functionsoff-shell spectral functions (width, mass) defined by the DQPM(width, mass) defined by the DQPM in in self-generated mean-field potential self-generated mean-field potential for quarks and gluonsfor quarks and gluons UUqq, U, Ug g

EoS of partonic phase: EoS of partonic phase: ‚crossover‘ from lattice QCD ‚crossover‘ from lattice QCD (fitted by DQPM)(fitted by DQPM) (quasi-) elastic and inelastic (quasi-) elastic and inelastic parton-parton interactions:parton-parton interactions:

using the effective cross sections from the DQPM using the effective cross sections from the DQPM

IV. IV. Hadronic phase:Hadronic phase: hadron-string interactions – hadron-string interactions – off-shell HSDoff-shell HSD

massive, off-shell (anti-)quarks massive, off-shell (anti-)quarks with broad spectral functions with broad spectral functions hadronize to hadronize to off-shell mesons and baryons or color neutral excited states -off-shell mesons and baryons or color neutral excited states - ‚strings‘ ‚strings‘ (strings act as ‚doorway states‘ for hadrons) (strings act as ‚doorway states‘ for hadrons)

III. III. Hadronization:Hadronization: based on DQPM based on DQPM

W. Cassing, E. Bratkovskaya, PRC 78 (2008) 034919;W. Cassing, E. Bratkovskaya, PRC 78 (2008) 034919;NPA831 (2009) 215; NPA831 (2009) 215; EEPJ ST PJ ST 168168 (2009) (2009) 33; ; NNPPA856A856 (2011) (2011) 162162..

0 100 200 300 4000.00

0.01

0.02

0.03

0.04

0.05

0.06

0 100 200 300 4000.000

0.002

0.004

0.006

0.008

0.010

NA57NA49

HSD PHSD

+0

NwoundN

wound

Pb+Pb, 158 A GeV, mid-rapidity _ _

dN/d

y | y=

0 / N

wou

nd


PHSD for HIC (highlights)PHSD for HIC (highlights)

PHSD PHSD provides a consistent provides a consistent description of HICdescription of HIC

! ! sizeable contribution of hadronic sizeable contribution of hadronic sourcessources – – meson-meson (mm) and meson-Baryon meson-meson (mm) and meson-Baryon (mB) bremsstrahlung(mB) bremsstrahlung


PHSD: photon spectra at RHIC: QGP vs. HG ?PHSD: photon spectra at RHIC: QGP vs. HG ?

DirectDirect photon spectrum (min. bias) photon spectrum (min. bias) Linnyk et al., PRC88 (2013) 034904; Linnyk et al., PRC88 (2013) 034904;

PRC 89 (2014) 034908 PRC 89 (2014) 034908

PHSD:PHSD:

QGPQGP gives up to ~50% of direct photon gives up to ~50% of direct photon yield below 2 GeVyield below 2 GeV/c/c

m+mm+m m+m+m+m+

m+Bm+B m+B+m+B+

m=m=*,*,… … B= B=pp

!!! !!! mm and mB bremsstrahlung channels mm and mB bremsstrahlung channels can not be subtracted experimentallycan not be subtracted experimentally ! !


Photon pPhoton pTT spectra at RHIC for different centralities spectra at RHIC for different centralities

PHSD predictions: PHSD predictions: O. Linnyk et al, Phys. Rev. C 89 (2014) 034908O. Linnyk et al, Phys. Rev. C 89 (2014) 034908

PHENIX data - PHENIX data - arXiv:1405.3940arXiv:1405.3940from talk by S. Mizuno at QM‘2014from talk by S. Mizuno at QM‘2014

mm and mB mm and mB bremsstrahlung isbremsstrahlung is dominantdominant at peripheral collisionsat peripheral collisions

!!! Warning:!!! Warning: large uncertaintieslarge uncertainties in the in the Bremsstrahlung channels in the Bremsstrahlung channels in the present PHSD results !present PHSD results !

PHSDPHSD

PHSD approximately PHSD approximately reproduces the centrality reproduces the centrality dependence dependence


BremsstrahlungBremsstrahlung – trivial ‚background‘? – trivial ‚background‘? Uncertainties in the Bremsstrahlung channelsUncertainties in the Bremsstrahlung channels in the present PHSD results : in the present PHSD results :

C. Gale, J. Kapusta, Phys. Rev. C 35 (1987) 2107C. Gale, J. Kapusta, Phys. Rev. C 35 (1987) 2107

Soft Photon Approximation (SPA):Soft Photon Approximation (SPA): mm11+m+m22 m m11+m+m22

2) no experimental constraint on 2) no experimental constraint on m+m and m+B differential elastic cross sectionsm+m and m+B differential elastic cross sections

Bremsstrahlung: Bremsstrahlung: seen atseen at SPS - WA98 SPS - WA98

1) based on the 1) based on the Soft-Photon-Approximation (SPA)Soft-Photon-Approximation (SPA) (factorization = strong x EM) (factorization = strong x EM)

Firebal model: Liu, Rapp, Nucl. Phys. A 96 (2007) 101Firebal model: Liu, Rapp, Nucl. Phys. A 96 (2007) 101

effective chiral model for effective chiral model for bremsstrahlung bremsstrahlung gives gives larger contribution than SPAlarger contribution than SPA

HSD: E. B., Kiselev, Sharkov, PR C78 (2008) 034905HSD: E. B., Kiselev, Sharkov, PR C78 (2008) 034905

using SPAusing SPA

mm and mB Bremsstrahlung seams to be mm and mB Bremsstrahlung seams to be an important source of soft photons! an important source of soft photons!

More work has to be done to have it under More work has to be done to have it under control!control!


Centrality dependence of the ‚thermal‘ photon yieldCentrality dependence of the ‚thermal‘ photon yield

PHSD:PHSD: scaling of the scaling of the thermalthermal photon yield with N photon yield with Npartpart with with ~1.5~1.5

similar results from similar results from viscous hydro: viscous hydro: (2+1)d (2+1)d VISH2+1:VISH2+1: (HG) ~1.46, (HG) ~1.46, (QGP) ~2, (QGP) ~2, (total) ~1.7(total) ~1.7

O. Linnyk et al, Phys. Rev. C 89 (2014) 034908O. Linnyk et al, Phys. Rev. C 89 (2014) 034908

PHSD predictions: PHSD predictions:

Hadronic channelsHadronic channels scale as ~ N scale as ~ Npartpart1.51.5

Partonic channelsPartonic channels scale as scale as ~N~Npartpart1.751.75

((‘Thermal’‘Thermal’ photon yield photon yield = direct photons - pQCD)= direct photons - pQCD)

PHENIX PHENIX (arXiv:1405.3940):(arXiv:1405.3940):

scaling of scaling of thermal thermal photon yield vs centrality:photon yield vs centrality:

dN/dy ~dN/dy ~ NNpartpart with with ~1.48~1.48++0.08 0.08

What do we learn?What do we learn? Indications for a dominant Indications for a dominant hadronic origin of thermal photon production?!hadronic origin of thermal photon production?!


1)1) vv22((inclincl) = ) = vv22(()) - - inclusive photonsinclusive photons mainly come from mainly come from decaysdecays

HSD (without QGP) underestimates HSD (without QGP) underestimates vv22 of hadrons of hadrons and and inclusive photons by a factor of 2, wheras the PHSD model inclusive photons by a factor of 2, wheras the PHSD model with QGP is consistent with exp. datawith QGP is consistent with exp. data

0.0 0.5 1.0 1.5 2.0 2.50.0

0.1

0.2

0.3

, PHENIX

v2

dir= i v

2

i Ni()/N

tot()

PHSD

pT [GeV/c]

direct photon v2 in PHSD

Au+Au, sNN

1/2=200 GeV, MB, |y|<0.35

v 2Are the direct photons a barometer of the QGP?Are the direct photons a barometer of the QGP?

PHSD: Linnyk et al., PHSD: Linnyk et al., PRC88 (2013) 034904; PRC88 (2013) 034904;

PRC 89 (2014) 034908PRC 89 (2014) 034908

2)2) vv22((dirdir)) of of direct photonsdirect photons in PHSD underestimates the in PHSD underestimates the PHENIX data :PHENIX data :

vv22((QGPQGP) is very small) is very small, but QGP contribution is up to 50% of , but QGP contribution is up to 50% of total yield total yield lowering flow lowering flow

Do we see the Do we see the QGPQGP pressurepressure in v in v22(() if the photon productions is ) if the photon productions is dominated dominated by hadronic sources?by hadronic sources?

HSD(no QGP)HSD(no QGP)

PHSD:PHSD: vv22((dirdir) comes from) comes from mm and mB bremsstrahlung ! mm and mB bremsstrahlung !

Direct photons Direct photons (inclusive(=total) – decay)(inclusive(=total) – decay)::

The The QGP causes the strong ellipticQGP causes the strong elliptic flow of photons flow of photons indirectly,indirectly, by enhancing the v by enhancing the v22 of final hadrons due to of final hadrons due to the partonic interactions the partonic interactions


Photons from PHSD at LHCPhotons from PHSD at LHC

Is the considerable Is the considerable elliptic flowelliptic flow of direct photons at of direct photons at the LHC also of the LHC also of hadronic origin hadronic origin as for RHIC?!as for RHIC?!

The photon elliptic flow at LHC is lower than at RHIC The photon elliptic flow at LHC is lower than at RHIC due to due to a larger relative QGP contribution / longer QGP a larger relative QGP contribution / longer QGP phase. phase.

PHSD: PHSD: vv22 of inclusive photons of inclusive photons

Preliminar

Preliminar

yy

Preliminary

Preliminary

PHSD- preliminary: Olena Linnyk PHSD- preliminary: Olena Linnyk

PHSD: PHSD: direct photonsdirect photons

LHC (similar to RHIC): LHC (similar to RHIC): hadronic photons dhadronic photons dominate spectra and vominate spectra and v22


Towards the solution of the Towards the solution of the vv22 puzzle puzzle

??

Is Is hadronic bremsstrahlunghadronic bremsstrahlung a ‚solution‘? a ‚solution‘?

Pseudo-Critical Enhancement of thermal photons near TPseudo-Critical Enhancement of thermal photons near TCC ? ? (H. van Hees, M. He, R. Rapp, arXiv:1404.2846)(H. van Hees, M. He, R. Rapp, arXiv:1404.2846)

Other scenarios:Other scenarios:

Early-time magnetic field effectsEarly-time magnetic field effects ? ? (Basar, Kharzeev,(Basar, Kharzeev, Skokov, PRLSkokov, PRL109109 (2012) (2012) 202303 202303; Basar, Kharzeev, Shuryak, arXiv:1402.2286); Basar, Kharzeev, Shuryak, arXiv:1402.2286)

„ … „ … a novel photon production mechanism stemming from the a novel photon production mechanism stemming from the conformal anomaly ofconformal anomaly of QCDQCD--QED and the existence of strong (electro)magnetic fieldsQED and the existence of strong (electro)magnetic fields in heavy ion collisions. in heavy ion collisions.““Exp. checksExp. checks: v: v3 3 , , centrality dependence of photon yield (PHENIX: arXiv:1405.3940)centrality dependence of photon yield (PHENIX: arXiv:1405.3940)

Glasma effectsGlasma effects ? ? (L. McLerran(L. McLerran, B. Schenke, arXiv: 1403.7462, B. Schenke, arXiv: 1403.7462))

„ … „ … Photon distributions from the Glasma are Photon distributions from the Glasma are steepersteeper than those computed in the than those computed in the Thermalized Quark Gluon Plasma (TQGP). Both the Thermalized Quark Gluon Plasma (TQGP). Both the delayed equilibration of the Glasmadelayed equilibration of the Glasma and and a possible anisotropy in the pressure lead to a slower expansion and mean times of photon a possible anisotropy in the pressure lead to a slower expansion and mean times of photon emission of fixed energy are increased.“emission of fixed energy are increased.“

non-perturbative effects?non-perturbative effects? semi-QGP - cf. talk by S. Lin at QM‘2014semi-QGP - cf. talk by S. Lin at QM‘2014

??????


… … shining in the darknessshining in the darkness

Can thermal QGP accelerate photons enough?!Can thermal QGP accelerate photons enough?!

The role of The role of hadronic sources (like bremsstrahlung) were underestimated?hadronic sources (like bremsstrahlung) were underestimated?

The The importance of initial phasesimportance of initial phases of the reaction: of the reaction: Large photon vLarge photon v22 requires the development of pre-equilibrium / initial flow ?! requires the development of pre-equilibrium / initial flow ?!

New sourcesNew sources of photon emission? Why not seen in dileptons?! of photon emission? Why not seen in dileptons?!

The photons provide a The photons provide a critical test for the theoretical modelscritical test for the theoretical models::models constructed to reproduce the ‚hadronic world‘ fail to explain the photon models constructed to reproduce the ‚hadronic world‘ fail to explain the photon experimental data!experimental data!

Additional impuls for the development of Additional impuls for the development of dynamical modelsdynamical models::e.g. from ideal to ebe viscous hydro, EoS, realistic non-equilibrium dynamics …e.g. from ideal to ebe viscous hydro, EoS, realistic non-equilibrium dynamics …

Some Some messagesmessages from the ‘photon adventure’: from the ‘photon adventure’:

Photons – one of the most sensitive probes for the dynamics of HIC!Photons – one of the most sensitive probes for the dynamics of HIC!


Dileptons: from SPS to LHCDileptons: from SPS to LHC


Dilepton sourcesDilepton sources

from the QGP from the QGP via partonic (q,qbar, g) interactions:via partonic (q,qbar, g) interactions:

from hadronic sources:from hadronic sources:

•direct decay direct decay of vector of vector mesons (mesons (JJ‘)‘)

•Dalitz decay Dalitz decay of mesons of mesons and baryonsand baryons ( (00,,, , ,…),…)

•correlated D+Dbar pairscorrelated D+Dbar pairs

•radiation fromradiation from multi-meson reactions multi-meson reactions ((++, , ++, , ++, , ++, , +a+a11) -) - ‚4‚4‘‘

**

gg **

**

qq l+

l--

**

qq

qq

qq

qq

qqqq

gggg

qq

c c

0DK

0D

K

c c

0DK

0D

K

+qq+qq

Plot from A. DreesPlot from A. Drees

‚‚thermal QGP‘thermal QGP‘


Physics with dileptonPhysics with dilepton

Low mass dileptonsLow mass dileptons -probe ofprobe of hadronic hadronic in-medium effectsin-medium effects

(late time emission)(late time emission)

Intermediate massIntermediate mass dileptons – probe ofdileptons – probe of

‚thermal QGP‘‚thermal QGP‘

High-mass dileptonsHigh-mass dileptons – probe of– probe of pQGP and pQGP and

hard probeshard probes(early time emission)(early time emission)

+qq+qq

Advantage of dileptons:Advantage of dileptons: additional additional „degree of freedom“ („degree of freedom“ (MM) allows to ) allows to

disentangle various sourcesdisentangle various sources


Lessons from SPS: NA60Lessons from SPS: NA60

PHSD:PHSD: Linnyk et al, PRC 84 (2011) Linnyk et al, PRC 84 (2011) 054917054917

Dilepton invariant mass spectra:Dilepton invariant mass spectra:

Fireball model – Renk/Ruppert Fireball model – Renk/Ruppert Fireball model – Rapp/vanHees Fireball model – Rapp/vanHees Ideal hydro model – Dusling/ZahedIdeal hydro model – Dusling/Zahed

Hybrid-UrQMD:Hybrid-UrQMD: Santini et al., Santini et al., PRC84 (2011) 014901 PRC84 (2011) 014901

Message from SPS: (based on NA60 and CERES data)Message from SPS: (based on NA60 and CERES data)

1) 1) Low mass spectraLow mass spectra - evidence for the - evidence for the in-medium broadening of in-medium broadening of -mesons-mesons 2) 2) Intermediate mass Intermediate mass spectra above 1 GeVspectra above 1 GeV - dominated by - dominated by partonic partonic radiationradiation3) 3) The rise and fall of The rise and fall of TTeffeff – evidence for the thermal – evidence for the thermal QGP radiationQGP radiation4) 4) Isotropic angular distributionIsotropic angular distribution – indication for a – indication for a thermal origin of dimuonsthermal origin of dimuons

Inverse slope parameter TInverse slope parameter Teffeff: : spectrum from QGP is softer than from hadronic phase since the QGP spectrum from QGP is softer than from hadronic phase since the QGP emission occurs dominantly before the collective radial flow has emission occurs dominantly before the collective radial flow has developed developed

NA60:NA60: Eur. Phys. J. C 59 (2009) 607 Eur. Phys. J. C 59 (2009) 607

QGPQGP

PRL 102 (2009) 222301PRL 102 (2009) 222301

cococcktailktail

HSDHSDIdeal hydro Ideal hydro

Dusling/ZahedDusling/Zahed

Fireball model Fireball model Rapp/vanHees Rapp/vanHees cococcktailktail

HSDHSDIdeal hydro Ideal hydro

Dusling/ZahedDusling/Zahed

Fireball model Fireball model Rapp/vanHees Rapp/vanHees


Dileptons at RHIC: PHENIXDileptons at RHIC: PHENIX

Message:Message:

• ModelsModels provide a provide a good description of pp data good description of pp data andand peripheral peripheral Au+AuAu+Au data, however, data, however, fail in describing the excess for central fail in describing the excess for central collisionscollisions even with even with in-medium scenariosin-medium scenarios for the vector meson for the vector meson spectral functionspectral function•The The ‘missing source’(?)‘missing source’(?) is located at is located at low plow pTT

• Intermediate mass spectra – dominant QGP contributionIntermediate mass spectra – dominant QGP contribution

PHENIX: PHENIX: PRC81PRC81 (2010) (2010) 034911034911

Linnyk et al., PRC 85 (2012) 024910Linnyk et al., PRC 85 (2012) 024910


Dileptons at RHIC: STAR data vs model predictionsDileptons at RHIC: STAR data vs model predictions

Centrality dependence of dilepton yieldCentrality dependence of dilepton yield(Talk by P. Huck at QM‘2(Talk by P. Huck at QM‘2014014))

Message: Message: STAR dataSTAR data are described by models within a are described by models within a collisional broadeningcollisional broadening scenario scenario for the vector meson spectral function + for the vector meson spectral function + QGPQGP

Excess in low mass region, min. biasExcess in low mass region, min. bias

Models:Models: Fireball modelFireball model – R. Rapp – R. Rapp PHSDPHSDLow masses:Low masses: collisional broadening of collisional broadening of Intermediate masses: Intermediate masses: QGP dominant QGP dominant


Dileptons from RHIC BES: STARDileptons from RHIC BES: STAR

Message:Message:

• BES-STARBES-STAR data data show ashow a constant low mass constant low mass excess excess (scaled with N((scaled with N()) within the measured )) within the measured energy range energy range

• PHSD model: PHSD model: excess increasing with excess increasing with decreasing energydecreasing energy due to a longer due to a longer -propagation -propagation in the high baryon density phasein the high baryon density phase

Good perspectives for future experiments – Good perspectives for future experiments – CBM(FAIR) / MPD(NICA)CBM(FAIR) / MPD(NICA)

(Talk by Nu Xu at QM‘2(Talk by Nu Xu at QM‘2014014))(Talk by Nu Xi at 23d CBM Meeting‘(Talk by Nu Xi at 23d CBM Meeting‘1414))


Dileptons at LHCDileptons at LHC

Message:Message:

low masses -low masses - hadronic sources: hadronic sources: in-medium effects for in-medium effects for mesons are small mesons are small

intermediate masses:intermediate masses: QGP + D/Dbar QGP + D/Dbar

charm ‘background’ is smaller than thermal QGP yieldcharm ‘background’ is smaller than thermal QGP yield

QGP(qbar-q)QGP(qbar-q) dominates at M>1.2 GeV dominates at M>1.2 GeV clean signal of QGP at LHC!clean signal of QGP at LHC!

O. Linnyk, W. Cassing, J. Manninen, E.B., P.B. O. Linnyk, W. Cassing, J. Manninen, E.B., P.B. Gossiaux, J. Aichelin, T. Song, C.-M. Ko, Gossiaux, J. Aichelin, T. Song, C.-M. Ko, Phys.Rev. C87 (2013) 014905Phys.Rev. C87 (2013) 014905; arXiv:1208.1279; arXiv:1208.1279

QGPQGP


Perspectives with dileptons: vPerspectives with dileptons: vnn

M=mM=m

(3+1)d MUSIC:(3+1)d MUSIC: Au+Au, RHIC, 10% central Au+Au, RHIC, 10% central

Vujanovic, Young, Schenke, Rapp, Jeon, GaleVujanovic, Young, Schenke, Rapp, Jeon, Gale, PRC 89 (2014) 034904, PRC 89 (2014) 034904

M=1.5 GeVM=1.5 GeV

vv22 (similar for v (similar for v33 ):):

sensitive to the sensitive to the EoS EoS andand /s/s

sensitive to the sources sensitive to the sources

Dileptons: advantages compared to photons –Dileptons: advantages compared to photons – extra degree of freedom M allows to disentangle extra degree of freedom M allows to disentangle the sources! the sources!


Messages from dilepton dataMessages from dilepton data

Low dilepton masses:Low dilepton masses:

Dilepton spectraDilepton spectra showshow sizeable changes due to the in-medium effects sizeable changes due to the in-medium effects – – modification of the properties of vector mesonsmodification of the properties of vector mesons (as collisional (as collisional broadening) - which are observed experimentallybroadening) - which are observed experimentally

In-medium effects In-medium effects can be observed at can be observed at all energies from SIS to LHCall energies from SIS to LHC

Intermediate dilepton masses:Intermediate dilepton masses:

TThe he QGP QGP (qbar-q) dominates for M>1.2 GeV(qbar-q) dominates for M>1.2 GeV

Fraction of QGP Fraction of QGP growsgrows with increasing energy; with increasing energy; at the LHC it is dominant at the LHC it is dominant

+qq+qq

Outlook:Outlook: * experimental * experimental energy scanenergy scan * e* experimental measurements of dilepton’sxperimental measurements of dilepton’s higher flow harmonics higher flow harmonics vvnn

Electromagnetic probes of the QGP Elena Bratkovskaya Institut für Theoretische Physik & FIAS, Uni....

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Transcript of Electromagnetic probes of the QGP Elena Bratkovskaya Institut für Theoretische Physik & FIAS, Uni....