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CGC and Particle Production in Forward Rapidity Region

CGC and Particle Production in Forward Rapidity Region. Jamal Jalilian-Marian INT, University of Washington. with A. Dumitru and A. Hayashigaki (based on hep-ph/0506308, see also poster by A. Dumitru). Quark Matter, Budapest, August 3 - 9, 2005. CGC in pA. Forward Rapidity

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CGC and Particle Production in Forward Rapidity Region

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  1. CGC and Particle Production in Forward Rapidity Region Jamal Jalilian-Marian INT, University of Washington with A. Dumitru and A. Hayashigaki (based on hep-ph/0506308, see also poster by A. Dumitru) Quark Matter, Budapest, August 3 - 9, 2005

  2. CGC in pA • Forward Rapidity • Large x in proton: xprojectile 0.1 • Small x in nucleus: xtarget 10-3 - 10-4 • Scattering of a dilute-dense system • Nucleus-nucleus collisions in forward rapidity • Future: more data, EM probes, LHC

  3. CGC in pA • Qualitative predictions for RHIC • RdA:from enhancement to suppression • Rcp : change with centrality • Back to back correlations: disappearance • From discovery to precision • Kinematics

  4. Forward Kinematics • RHIC: assume 2 --> 1 kinematics • At y = 4, pt = 2

  5. Forward Kinematics • RHIC: assume 2 --> 1 kinematics • At y = 4, pt = 2 Can proton be described by CGC At x ~ 0.5 ?

  6. Saturation in Proton: HERA IIM 2003

  7. Saturation in Proton: HERA CGC works for x < 10-2 IIM 2003

  8. A New Approach to Forward pA • Proton: quarks and gluons • Includes recoil of large x partons • Evolution (in Q2) via DGLAP • Nucleus: classical fields • Evolution (in x) via JIMWLK (CGC) • Includes leading and higher twist “shadowing” Caution: physics of forward rapidity RHIC is not the same as that of mid rapidity LHC

  9. Consider scattering of a quark from the classical field Am if the field is strong, we need to include multiple scattering strong field = Weak field similar for gluon scattering

  10. Two particle production: radiate a parton (JJM,YK, PRD70:114017, 2004) + + + +

  11. Single inclusive hadron production: as corrections + integration over final state momenta: collinear divergence A. Dumitru, A. Hayashigaki, J. Jalilian-Marian, hep-ph:0506308 2 2 2 as Pg/q Log Q2 dsg A --> g X

  12. more diagrams (one parton radiation) 2 2 2 as Pq/q Log Q2 dsq A --> q X 2 2 2 as Pg/g Log Q2 dsg A --> g X +

  13. and more diagrams (two parton radiation) 2 +

  14. Single Hadron Production in pA NF, NA are dipoles in fundamental and adjoint representation and satisfy the JIMWLK evolution equation

  15. Application to dA at RHIC • Distribution/fragmentation functions • fq/p, fg/p from HERA, Dh/q,g from e+ e- • Ignore deuteron shadowing • Dipole cross sections: NF , NA • Solution of JIMWLK evolution equations • Parameterizations • IIM (fit to HERA data on protons) • KKT (fit to RHIC data on dA) • pt spectra at y=3.2 and y=4

  16. 2 ---> 2 Kinematics Guzey, Strikman, Vogelsang, PLB603, 173, 2004

  17. 2 ---> 1 Kinematics for dA at RHIC q P p l k K

  18. 2 ---> 1 Kinematics for dA at RHIC

  19. 2 ---> 1 Kinematics for dA at RHIC

  20. Applicationsto dA atRHIC

  21. Application to dA at RHIC

  22. Application to dA at RHIC

  23. Application to dA at RHIC

  24. Application to dA at RHIC G. Rakness, hep-ex/0507093

  25. OUTLOOK • Forward dA at RHIC • Small x evolution of target is essential • DGLAP Q2 evolution of projectile is important • Another dA run at RHIC • Better precision • Electromagnetic probes • Photons • Dileptons • Hadron + photon correlations • Centrality dependence • LHC • The ultimate CGC machine

  26. BACK UP SLIDES

  27. A New Paradigm of QCD Saturation region: dense system of gluons Extended scaling region: dilute system - anomalous dimension Double Log: BFKL meets DGLAP DGLAP: collinearly factorized pQCD

  28. Two Particle Correlations STAR disappearance of back to back correlations

  29. RHIC DATA ON FORWARD D-Au Collisions

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