Universal Aspects of the Dipole Cross Section in eA and pA Collisions

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Universal Aspects of Universal Aspects of the Dipole Cross the Dipole Cross Section in eA and pA Section in eA and pA Collisions Collisions Jamal Jalilian-Marian Jamal Jalilian-Marian Institute for Nuclear Institute for Nuclear Theory Theory University of Washington University of Washington

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Universal Aspects of the Dipole Cross Section in eA and pA Collisions. Jamal Jalilian-Marian Institute for Nuclear Theory University of Washington. Perturbative QCD. Quarks, gluons (x, Q 2 ) Weak coupling (  s

Transcript of Universal Aspects of the Dipole Cross Section in eA and pA Collisions

Page 1: Universal Aspects of the Dipole Cross Section in eA and pA Collisions

Universal Aspects of the Dipole Universal Aspects of the Dipole Cross Section in eA and pA Cross Section in eA and pA

CollisionsCollisions

Jamal Jalilian-MarianJamal Jalilian-Marian

Institute for Nuclear TheoryInstitute for Nuclear Theory

University of WashingtonUniversity of Washington

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Perturbative QCD

• Quarks, gluons (x, Q2)

• Weak coupling (s << 1)• Collinear factorization• Universality• Dilute systems

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• Small X/Large A

• Large occupation number

• Coherent state

• Saturation

momentum Qs (x)

Gluon Saturation

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Semi-Classical QCD• Weak coupling (s << 1)

• Classical fields + renormalization group

• Coherence

• Wilson lines (dipoles)

• Dense systems

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• Color Glass Condensate Pt < Qs(y)

• Color Quantum Fluid Qs(y) < Pt < Qes(y)

• Dilute Parton Gas Pt > Qes(y)

• RHIC, LHC, EIC

Qs

Qes

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QCD: Kinematic Regions• Color Glass Condensate

– High gluon density

– Strong classical fields

– Non-Linear evolution: JIMWLK (BK at large Nc)

• Color Quantum Fluid – Low gluon density

– Linear evolution: BFKL

– Anomalous dimension (kt factorization)

• Dilute Parton Gas – Low gluon density

– Linear evolution: DGLAP

– Collinear factorization

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DIS:

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DIS Structure Functions

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Virtual Photon Production

(F.G. + J.J-M. PRD67, 2003)

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Virtual Photon Production

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Dilepton Production in pA

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Models of Dipole Cross SectionGolec-Biernat+Wusthoff

Bartels+Golec-Biernat+Kowalski

Iancu+Itakura+Munier

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Models of Dipole Cross SectionIancu, Itakura and Munier hep-ph/0310338

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Dilepton Production in dA J.J-M nucl-th/0402014

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Dipoles and Hadron Production

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Forward Rapidity Hadron ProductionJ.J-M. nucl-th/0402080

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From RHIC To EIC• RHIC experimental coverage (Ex.: pt = 2 GeV)

– y= 0 --> 4 – x1 ~ 10-2 --> 5x10-1

– x2 ~ 10-2 --> 10-4

• Limited pt coverage at large y• Convolution• EIC: the ultimate CGC machine

– x, Q2 coverage– Luminasity– A dependence– FL, …


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