charles gale mcgill qm 2005 thermal photons and dileptons* why? how? theory low mass dileptons...
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QM 2005 Charles Gale
McGill
Thermal Photons and Dileptons*
•Why? How? Theory•Low mass dileptons•Intermediate mass
dileptons•Photons: low and high(er)
pT photons
•EM signature of jets
((** Not an exhaustive review…) Not an exhaustive review…)
QM 2005 Charles Gale
McGill
Why? The information carried by EM probes
3
3 3
1Im ( )
(2 ) 1Rd R g
kd k e
Emission rates:
[photons]
6 2
3 3 6 4
2 1 1Im ( )
(2 ) 1Rd R e
E E L kd p d p k e
[dileptons]
•The electromagnetic spectra will be direct probes of the in-medium photon self-energy•They are hard probes:
•EM signals as probes for hadronic tomography
EM 3%s
McLerran, Toimela (85), Weldon (90), Gale, Kapusta (91)
QM 2005 Charles Gale
McGill
The current-current correlatorA model for the hadronic electromagnetic current: VMD
2 2 2e e eJ m m m
g g g
The current-field identity(J. J. Sakurai)
Im Im ImVMD
TT TJ J D Spectral density
The photon/dilepton signal can tell us about the in-medium
spectral densities of vector mesons. Rates need to be integrated
over the space-time history, with some dynamical model
3 3( , ) Im ( , )RdR
E E C p p k Td p d p
D
2 2 2 2 2 2( , )
L TP P k kk T
k m F k m G m k
D
QM 2005 Charles Gale
McGill
What is expected (dileptons)• Low masses receive
significant contribution from radiative decays
• High masses dominated by DY
• Intermediate mass region interesting from QGP perspective, (Shuryak (78), Shor (89))
• Photons: similar story, but featureless spectra
• Experiments: DLS, Helios, TAPS, NA38, -50, WA98, CERES, PHENIX, HADES, NA60
DD
QM 2005 Charles Gale
McGill
Expectations, part II
•Thermal QGP plasma radiation•Many-body, in-medium, effects on spectral densities
0
( , ) ( , ) 0L LV Ad p p
Weinberg (67)Kapusta, Shuryak (94)
+ other possibilities…
QM 2005 Charles Gale
McGill
UrQMD
In-medium: what medium?
Phase-space trajectory goes through qualitatively different media
QM 2005 Charles Gale
McGill
Low Masses:Vector Meson Spectral Densities:Hot Meson Gas
The spectral density is flattened
and broadened
Rapp, Gale (99)
QM 2005 Charles Gale
McGill
Vector Meson Spectral Densities, II(adding baryons)
R. Rapp & J.Wambach, 1999
QM 2005 Charles Gale
McGill
Vector spectral densities from data
c.m.c.m.
c.m.
1 exp( )1( )
12 4 sin2
P
apR a PR
a aRP
R R
q r if s W s
q sM s i
3c.m.
3( , ) 4 ( ) ( )
(2 )a a a
d k sE p n k f s
•Should hold near the mass-shell•Adler decoupling enforced
E. V.Shuryak, Nucl. Phys. A 533, 761 (1991); V. L. Eletsky and V. L.Ioffe, Phys. Lett. B 401, 327 (1997); Eletsky, Belkacem, Ellis, Kapusta,Phys. Rev. C 64, 035202 (2001)
QM 2005 Charles Gale
McGill
Two approaches:
•Rates are also constrained by nuclear photoabsorption data•Lagrangians are constrained by hadronic phenomenology•Mass shifts & broadening are related by dispersion relations
Rapp & WambachEletsky, Ioffe, Kapusta
(Giessen, Frankfurt, Munich)
QM 2005 Charles Gale
McGill
Fold in With a Dynamical Evolution Model
Huovinen, Belkacem, Ellis, and Kapusta (02)
What’s new?
Rapp, Brown-Rho
QM 2005 Charles Gale
McGill
e+e- mass spectrum: comparison to the models
calculation by R.Rapp using Rapp/Wambach medium modification of rho spectral function
calculation by R.Rapp using Brown-Rho scaling
B. Kämpfer, thermal emission
...added to the cocktail.
in the 0.8 < m < 0.98 GeV region:Brown-Rho curve: 2/n = 2.4the other two curves: 2/n ~ 0.3
Sergey Yurevich (CERES)
QM 2005 Charles Gale
McGill
NA60 Comparison of data to RW, BR and NA60 Comparison of data to RW, BR and Vacuum Vacuum
pT dependence
Sanja Damjanovic
QM 2005 Charles Gale
McGill
NA60 Comparison of data to RW, BR and NA60 Comparison of data to RW, BR and Vacuum Vacuum
•Linear scale!!!Linear scale!!!•Quality of data enables a preciseQuality of data enables a precise determination of the spectraldetermination of the spectral properties.properties.•The beginning of a new era…The beginning of a new era…
QM 2005 Charles Gale
McGill
The intermediate mass sector: some background
• Direct connection to Hard Probes• Off-shell effects are potentially important for
effective hadronic interactions Gao & Gale, PRC 57, 254 (1998)
• A lot of data already exists!
DD_
DY
NA50Pb-Pb 158 GeV
central collisions
charm DY
A. Shor, PLB 233, 231 (1989)
QM 2005 Charles Gale
McGill
e+ e- Data: A Wealth of Information
• OLYA
• CMD
• DM-1(2)
• ARGUS
• M3N
•
QM 2005 Charles Gale
McGill
A larger comparison
• Agreement across theoretical
models
• Those channels are absent
from the spectral densities used in comparisons with CERES and the new NA60 data.
QM 2005 Charles Gale
McGill
Li and Gale, PRC (1998)
Intermediate mass data
A. L. S. Angelis et al. (Helios 3), Eur. Phys. J. (1998)
R. Rapp & E. Shuryak, PLB (2000)
QM 2005 Charles Gale
McGill
NA50 Data (cont’nd)
I. Kvasnikova, C. Gale, and
D. K. Srivastava, PRC 2002
•In agreement with multiplicity dependence•Includes detector acceptance & efficiency
(O. Drapier, NA50)
QM 2005 Charles Gale
McGill
NA60 IMR analysis: weighted offset fits (R. Shahoyan)
or
Fix Charm contribution to “world average” value
Fix Charm contribution to NA50 p-A expected value
Fit always requires ~2 times more Prompts
1
Extract prompts by fixing Open Charm contribution
QM 2005 Charles Gale
McGill
Low and Intermediate masses: partial summary
• Thermal sources shine in the LMR and IMR. No great sensitivity to the QGP
• The data is precise enough to consider a differentiation of space-time models
• DY? At low M, medium-enhanced multiple parton scatterings might be large (Qiu, Zhang (02), Fries, Schaefer, Stein, Mueller (00). pA measurement.)
2 21 ( )NNAB
AB
ddAB R Q
dQ dQ
QM 2005 Charles Gale
McGill
(Theory) Homework
• Unite (standardize?) space-time modeling [nD hydro, fireballs, transport approaches…]. Rapidity dependence of photon signal: a probe of stopping (Renk, PRC (05))
• The power of the data is only fully realized if a general-purpose acceptance filter exists.
QM 2005 Charles Gale
McGill
Electromagnetic radiation from QCD
First approaches
McLerran, Toimela (1986); Kajantie, Kapusta, McLerran, Mekjian (1986)Baier, Pire, Schiff (1988); Altherr, Ruuskanen (1992)
Rates diverge: 2ln( / 0)s T q
HTLresummation
QM 2005 Charles Gale
McGill
• HTL program: Klimov (1981), Weldon (1982)
Braaten & Pisarski (1990); Frenkel & Taylor (1990)
2Im lnR
th
T
m gT
Kapusta, Lichard, Seibert (1991)Baier, Nakkagawa, Niegawa, Redlich (1992)
Going to two loops: Aurenche, Kobes, Gelis, Petitgirard (1996) Aurenche, Gelis, Kobes, Zaraket (1998)
Co-linear singularities: 22
2s sth
T
m
QM 2005 Charles Gale
McGill
Singularities can be re-summed
Arnold, Moore, and Yaffe
JHEP 12, 009 (2001); JHEP 11, 057 (2001)
• Incorporates LPM
• Complete leading order in αs
• Inclusive treatment of collinear enhancement, photon and gluon
emission
Can be expressed in terms of the solution to a linear integral equation
QM 2005 Charles Gale
McGill
How big (small) is this?
Turbide, Rapp & Gale PRC (2004)
QM 2005 Charles Gale
McGill
QM 2005 Charles Gale
McGill
Azimuthal correlation– Shows the absence of “away-side” jet.
Pedestal&flow subtracted
QM 2005 Charles Gale
McGill
Quenching = Jet-Plasma interaction. Does this have an EM signature?
qg q
The plasma mediates a jet-photon conversion
Fries, Mueller & Srivastava, PRL 90, 132301 (2003)
QM 2005 Charles Gale
McGill
Photon sources• Hard direct photons
• EM bremsstrahlung
• Thermal photons from hot medium
• Jet-photon conversion
• Jet in-medium bremsstrahlung
QM 2005 Charles Gale
McGill
Energy loss in the jet-photon conversion? Jet bremsstrahlung?
Use the approach of Arnold, Moore, and Yaffe
JHEP 12, 009 (2001); JHEP 11, 057 (2001)
• Incorporates LPM
• Complete leading order in S
• Inclusive treatment of collinear enhancement, photon and gluon
emission
Can be expressed in terms of the solution to a linear integral equation
QM 2005 Charles Gale
McGill
Time-evolution of quark distribution
The entiredistribution isevolved by the collision Kernel(s)Of the FP equation
Turbide, Gale, Jeon, and Moore (2004)
QM 2005 Charles Gale
McGill
With the new (preliminary) PHENIX data
QM 2005 Charles Gale
McGill
Photons: establishing a baseline
Aurenche et al., NPB 286, 553 (1987)Consistent with Gordon & Vogelsang
(preliminary)
QM 2005 Charles Gale
McGill
Direct in d+Au
• p+p and d+Au spectra compared to NLO pQCD
• ratio to NLO pQCD• consistent with 1• No indication for
nuclear effects
2
Poster H. Torii
Poster D. Peressounko
(S. Bathe)
QM 2005 Charles Gale
McGill
RHIC jet-plasma photons
With E loss
QM 2005 Charles Gale
McGill
RHIC Au Au data
QM 2005 Charles Gale
McGill
New (preliminary) PHENIX Data(Bathe, Buesching)
*
*direct direct
inclusive inclusive
4 3 *
2 3 2 33
d d
dM d q M d q
*
*direct
direct inclusiveinclusive
÷
÷÷
0-3
0
90-1
40
140-2
00 M
eV
200-3
00
Rdata
QM 2005 Charles Gale
McGill
New (preliminary) PHENIX Data(Bathe, Buesching)
A prediction: all source
Sizes fixed prio
r to QM
QM 2005 Charles Gale
McGill
QM05 Stefan Bathe 31
The Spectrum
Compare to thermal + pQCD• data consistent with
thermal + pQCD
Compare to thermal model
• data above thermal at high pT
• D. d’Enterria, D. Perresounko
• nucl-th/0503054
Compare to NLO pQCD
• excess above pQCD
• L.E.Gordon and W. Vogelsang
• Phys. Rev. D48, 3136 (1993)
2+1 hydroT0
ave=360 MeV(T0max=570 MeV)
0=0.15 fm/ c
QM 2005 Charles Gale
McGill
Other signature of jet-photon conversion?
• Jet-plasma photons will come out of the
hadron-blind region. “Optical” v2 < 0
1 2 cos2 n
nT T T T
dN dNv n
p dp d p dp
Turbide, Gale, Fries (05)
QM 2005 Charles Gale
McGill
If photons can be detected in coincidence with hadronsThe jet-plasma photons can be easier to isolate (Cole)
QM 2005 Charles Gale
McGill
Jet-plasma interactions: measurable EM signatures!
• RHIC:– Jet-plasma interaction is a large source of photons up to
pT ~ 6 GeV. – Conclusions include energy-loss considerations– True also in the dilepton channel: signal competes with
Drell-Yan (NLO)
• LHC:– Jet-plasma photon signal is important– Large mass lepton pairs dominate over Drell-Yan
emission.
Towards a consistent treatment of jets & EM radiation
QM 2005 Charles Gale
McGill
Summary, Conclusions, Open Issues• Low and mass dileptons: NA60 data can distinguish
between models• IMR: More homework to be done (Higher twist…)• Space-time evolution models• RHIC: There are measurable electromagnetic
signatures of jet-plasma interaction: those constitute complementary observables to signal the existence of conditions suitable for jet-quenching
• Photon v2, a revealing probe • RHIC dileptons: systematic errors still too large to
permit source identification (A. Toia, PHENIX)• EM radiation and hard probes: the start of a
beautiful friendship…
QM 2005 Charles Gale
McGill
Collaborators:
•Simon Turbide, McGill University
•Rainer Fries, University of Minnesota
•R. Rapp, Texas A&M
•Dinesh Srivastava, VECC, Calcutta
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