Photons and Dileptons
description
Transcript of Photons and Dileptons
![Page 1: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/1.jpg)
Photons and Dileptons
K. Dusling (NC) and I. Zahed
BNL 11
![Page 2: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/2.jpg)
Outline
• Set up• Rates• Evolution• Experiments
![Page 3: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/3.jpg)
AA Cartoon
time
![Page 4: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/4.jpg)
Formally
rateevolution
acceptance
![Page 5: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/5.jpg)
Acceptance: NA60 vs PHENIX
![Page 6: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/6.jpg)
Hadronic Rates
![Page 7: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/7.jpg)
Rate
)0(),()()(
41
21
604
2
2
2
2
23
2
4
JxJxexdqWqm
qm
qqddR xiqll
)0()()( with )(Im1
2),( *4
/
00
JxJTexdiqWqW
eqqW xiqFF
Tq
l+
l-
l+
l-π
π
N
π
π
N
![Page 8: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/8.jpg)
Hadronic Expansion
i d4 x e iqx 0T*J (x)J(0)0 i
a d d4 x e iqx in
a (k)T*J (x)J(0) ina (k)
is,I dN d 4 x e iqx N in
s,I (k)T*J (x)J(0) N ins,I (k)
+2+3, …-Pi, +2+3, …-K
Resonance Gas: 0 ie J=ρ,ρ’,ρ’’,..
+2+3, …-N
![Page 9: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/9.jpg)
Many Feyman Graphs:
l l
l l
,,
i d4 x e iqx 0T*J (x)J(0)0 + + …
l
l
,,,, 11 Ka
ia d d4 x e iqx in
a (k)T*J (x)J(0) ina (k) + …
ll
NN
,
,N ,N
is,I dN d4 x e iqx N in
s,I (k)T*J (x)J(0) N ins,I (k) + …
![Page 10: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/10.jpg)
Chiral Ward Identities: κ
d3k n(k0)(2 3)2k0 f
2 W1F (q,k)
W1F 12q2 ImV (q2)
6(k q)2 ImA[(k q)2]
8((k q)2 m2q2)ImV (q2) Re[R (k q)]
(q q)
ia d d4 x e iqx in
a (k)T*J (x)J (0) ina (k)
Chiral Limit and zero-mtm pion:
)()(Im12)0,( 2221 qqqqW AV
F
κ
![Page 11: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/11.jpg)
VA Mixing=LxR Restoration?
Dey, Eletsky, Ioffe 96
~κ
![Page 12: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/12.jpg)
Expansion Parameter:
n
2m f2
n 3 d3k(2 )3 n(k )
= 0
0
“Dilute”
LXR
![Page 13: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/13.jpg)
Chiral Ward Identities: κ^2
![Page 14: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/14.jpg)
Input:
V (q2) 0 TVV 0
A (q2) 0 T jAjA 0
e+e- Decay
.
![Page 15: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/15.jpg)
VA Mixing in
T=180 MeV
![Page 16: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/16.jpg)
Typical Mixing in
a1a1
T=150 MeV μb=225 MeV
![Page 17: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/17.jpg)
VA Mixing + Bremsstralung
![Page 18: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/18.jpg)
QGP Rates
![Page 19: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/19.jpg)
wQGP:
ImW11R
14
NC eq2
q
q
2 12Tq
ln n
n
l+
l-
l+
l-
![Page 20: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/20.jpg)
wQGP: γ
Collinear Enhancement+ LPM Effect : Arnold, Moore, Yaffe 01
![Page 21: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/21.jpg)
Hydro Evolution
![Page 22: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/22.jpg)
Fireball: NA60
TC 160 MeVs /nB 42Tf ,o. 120 MeV
LH = 6 GeV/fm-3
![Page 23: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/23.jpg)
Thermal Freeze-out
Cooper-Frye
![Page 24: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/24.jpg)
Chemical Freezeout:
Fireball cools faster x Rates higher = w/μπ !
![Page 25: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/25.jpg)
Experiments
![Page 26: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/26.jpg)
NA60:
![Page 27: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/27.jpg)
PHENIX:
Dusling+Z 07 Dusling+Z 09
![Page 28: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/28.jpg)
28
STAR: 11’
PHENIX PRC 81 (2010) 034911
Minbias (value ± stat ± sys) Central (value ± stat ± sys)
STAR 1.53 ± 0.07 ± 0.41 (w/o ρ) 1.40 ± 0.06 ± 0.38 (w/ ρ)
1.72 ± 0.10 ± 0.50 (w/o ρ) 1.54 ± 0.09 ± 0.45 (w/ ρ)
PHENIX 4.7 ± 0.4 ± 1.5 7.6 ± 0.5 ± 1.3Difference 2.0 σ 4.2 σ
Enhancement factor in 0.15<Mee<0.75 Gev/c2
Note: Acceptance difference etc.
![Page 29: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/29.jpg)
WA98: γ
0<qT (GeV) <4 0<qT (GeV)<0.8
N:x2
![Page 30: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/30.jpg)
Rates at RHIC: γ
RHIC1 RHIC2
![Page 31: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/31.jpg)
PHENIX: γ
RHIC1 RHIC2
![Page 32: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/32.jpg)
PHENIX extrapolation: γ
PHENIX: M<<qv
1
![Page 33: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/33.jpg)
Systematics of the Extrapolation
15% Systematics!
![Page 34: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/34.jpg)
LHC: γ
0<qT(GeV)<2 1<qT (GeV)<5
![Page 35: Photons and Dileptons](https://reader036.fdocuments.net/reader036/viewer/2022062305/56815f43550346895dce1fac/html5/thumbnails/35.jpg)
Achievements
1. EM “OK”*2. LxR “restored”3. QGP “visible”
(* PHENIX)