9/17/20151 Probing the Dense Medium in Cold Nuclei -- Gluon Saturation at small-x Bowen Xiao (CCNU) Feng Yuan (LBNL)

Slides:

Advertisements

Similar presentations

The Color Glass Condensate and RHIC Phenomenology Outstanding questions: What is the high energy limit of QCD? How do gluons and quarks arise in hadrons?

Advertisements

The Science of an EIC Nuclear Science Goals: How do we understand the visible matter in our universe in terms of the fundamental quarks and gluons of QCD?

Relativistic Heavy-Ion Collisions: Recent Results from RHIC David Hardtke LBNL.

Triumvirate of Running Couplings in Small-x Evolution Yuri Kovchegov The Ohio State University Based on work done in collaboration with Heribert Weigert,

An Introduction to Particle Production in High Energy Nuclear Collisions Jamal Jalilian-Marian Institute for Nuclear Theory University of Washington.

To Those Who Perished in the 5.12 Earth Quake in China.

Polarized structure functions Piet Mulders ‘Lepton scattering and the structure of nucleons and nuclei’ September 16-24, 2004

Ahmad Idilbi Uni. Regensburg TUM November 30, 2011 M. G. Echevarria, A. Idilbi, I. Scimemi, arXive: : [hep-ph] M. G. Echevarria, A. Idilbi, I.

Lecture II. 3. Growth of the gluon distribution and unitarity violation.

Xiangdong Ji University of Maryland/SJTU Physics of gluon polarization Jlab, May 9, 2013.

9/19/20151 Nucleon Spin: Final Solution at the EIC Feng Yuan Lawrence Berkeley National Laboratory.

9/19/20151 Semi-inclusive DIS: factorization Feng Yuan Lawrence Berkeley National Laboratory RBRC, Brookhaven National Laboratory.

Future Opportunities at an Electron-Ion Collider Oleg Eyser Brookhaven National Laboratory.

1 Transverse weighting for quark correlators QCD workshop, JLAB, May 2012 Maarten Buffing & Piet Mulders

1 Topical Seminar on Frontier of Particle Physics 2004: QCD and Light Hadrons Lecture 1 Wei Zhu East China Normal University.

J/ψ Production in pPb Collisions at the LHC Zhang, Hong-Fei Third Military Medical University.

Quark Helicity Distribution at large-x Collaborators: H. Avakian, S. Brodsky, A. Deur, arXiv: [hep-ph] Feng Yuan Lawrence Berkeley National Laboratory.

6/1/20161 TMD Evolution Feng Yuan Lawrence Berkeley National Laboratory.

Single (transverse) Spin Asymmetry & QCD Factorization Single (transverse) Spin Asymmetry & QCD Factorization Xiangdong Ji University of Maryland — Workshop.

May 18-20, 2005 SIR05 JLab 1 P ? Dependence of SSA -- from nonpert. to pert. Feng Yuan, RBRC, Brookhaven National Laboratory References: Ji, Ma, Yuan,

11/5/20151 Energy Evolution of Sivers asymmetry in Hard Processes Feng Yuan Lawrence Berkeley National Laboratory.

1 Search for the Effects of the QCD Color Factor in High-Energy Collisions at RHIC Bedanga Mohanty LBNL  Motivation  Color Factors  Search for Color.

Unintegrated parton distributions and final states in DIS Anna Stasto Penn State University Work in collaboration with John Collins and Ted Rogers `

High Energy Nuclear Physics and the Nature of Matter Outstanding questions about strongly interacting matter: How does matter behave at very high temperature.

11/28/20151 QCD resummation in Higgs Boson Plus Jet Production Feng Yuan Lawrence Berkeley National Laboratory Ref: Peng Sun, C.-P. Yuan, Feng Yuan, PRL.

Diffractive structure functions in e-A scattering Cyrille Marquet Columbia University based on C. Marquet, Phys. Rev. D 76 (2007) paper in preparation.

Transverse Spin Physics: Recent Developments

Single-Spin Asymmetries at CLAS  Transverse momentum of quarks and spin-azimuthal asymmetries  Target single-spin asymmetries  Beam single-spin asymmetries.

12/13/20151 Transverse Spin Overview: Theory Perspective Feng Yuan Lawrence Berkeley National Laboratory RBRC, Brookhaven National Laboratory.

Status of the theory of saturation of partonic densities Cyrille Marquet Theory Division - CERN.

1/24/20161 Resummation in High Energy Scattering -- BFKL vs Sudakov Feng Yuan Lawrence Berkeley National Laboratory Refs: Mueller, Xiao, Yuan, PRL110,

Third TECHQM Collaboration Meeting, CERN July 6-10, 2009 Xin-Nian Wang Lawrence Berkeley National Laboratory The Brick Problem in High-Twist Approximation.

2/10/20161 What can we learn with Drell-Yan in p(d)-nucleus collisions Feng Yuan Lawrence Berkeley National Laboratory RBRC, Brookhaven National Laboratory.

Color Glass Condensate in High Energy QCD Kazunori Itakura SPhT, CEA/Saclay 32 nd ICHEP at Beijing China 16 Aug

Understanding forward particle production Opportunities for Drell-Yan Physics at RHIC May 13 th, 2011 Roman Pasechnik Uppsala University, THEP group 1.

Overview of low-x and diffraction at HERA Henri Kowalski DESY Rencontres de Moriond La Thuile, March 2006.

Physics Potential of an ep Collider at the VLHC  Why ep? When?  Physics Results from the first ep Collider – HERA  Future ep Physics Priorities  Perturbative.

Yuri Kovchegov The Ohio State University

TMDs of a Large Nucleus: Quasi-Classical Approximation and Quantum Evolution Yuri Kovchegov The Ohio State University based on work with Matt Sievert.

Relating e+e- annihilation to high energy scattering at weak and strong coupling Yoshitaka Hatta (U. Tsukuba) JHEP 11 (2008) 057; arXiv: [hep-ph]

Forward di-jet production in p+Pb collisions Centre de Physique Théorique Ecole Polytechnique & CNRS Cyrille Marquet A. van Hameren, P. Kotko, K. Kutak,

Distribution of linearly polarized gluons inside a large nucleus Jian Zhou Regensburg University Based on: Phys.Rev. D84 (2011) A. Metz and ZJ.

3/8/20161 Nucleon Tomography --Parton Imaging in 3D Feng Yuan Lawrence Berkeley National Laboratory.

April 20-24, 2006 DIS Soft Gluon Ressumation in Effective Field Theory Feng Yuan, RBRC, Brookhaven National Laboratory References: Ildibi, Ji, Yuan,

Enke Wang (Institute of Particle Physics, Huazhong Normal University) I.Jet Quenching in QCD-based Model II.Jet Quenching in High-Twist pQCD III.Jet Tomography.

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

Transverse Spin Physics with an Electron Ion Collider Oleg Eyser 4 th International Workshop on Transverse Polarisation Phenomena in Hard Processes Chia,

Single-Spin Asymmetry in Polarized p+A Collisions Yuri Kovchegov The Ohio State University based on arXiv: [hep-ph] and more recent work with.

Running Coupling Corrections to Nonlinear Evolution for Diffractive Dissociation Yuri Kovchegov The Ohio State University.

Renormalization Group Evolution of Multi-gluon Correlators in High Energy QCD Jamal Jalilian-Marian Baruch College QCD Evolution Workshop 2012, JLAB.

11/19/20161 Transverse Momentum Dependent Factorization Feng Yuan Lawrence Berkeley National Laboratory RBRC, Brookhaven National Laboratory.

EIC NAS review Charge-2 What are the capabilities of other facilities, existing and planned, domestic and abroad, to address the science opportunities.

Introduction to pQCD and TMD physics

Computing gluon TMDs at small-x in the Color Glass Condensate

Lecture 2 Evolution and resummation

Cyrille Marquet Centre de Physique Théorique

EIC NAS review Charge-2 What are the capabilities of other facilities, existing and planned, domestic and abroad, to address the science opportunities.

3/19/20181 Nucleon Spin: Final Solution at the EIC Feng Yuan Lawrence Berkeley National Laboratory.

Semi-inclusive DIS at Small-x

Can We Learn Quark Orbital Motion from SSAs?

Unique Description for SSAs in DIS and Hadronic Collisions

Computing gluon TMDs at small-x in the Color Glass Condensate

Feng Yuan Lawrence Berkeley National Laboratory

Quark and Gluon Sivers Functions

TMDs in nuclei Jian Zhou Temple University

Unique Description for Single Transverse Spin Asymmetries

Lawrence Berkeley National Laboratory

of Hadronization in Nuclei

Modified Fragmentation Function in Strong Interaction Matter

Presentation transcript:

9/17/20151 Probing the Dense Medium in Cold Nuclei -- Gluon Saturation at small-x Bowen Xiao (CCNU) Feng Yuan (LBNL)

Gluon saturation inevitable at small-x 9/17/20152

QCD evolution drives the gluon distribution rising at small-x 9/17/20153

BFKL evolution becomes relevant at small-x Balitsky-Fadin-Lipatov-Kuraev, Balitsky-Kovchegov: Non-linear term, 98 9/17/20154

5 QCD Phase structure of cold nuclei Hard processes probe the kt-dependent gluon distributions directly Saturation phenomena manifest in the observables Xiao,Yuan, et al, PRL106, (2011) PRL105, (2010)

Conventional gluon distribution Collins-Soper, 1981  Gauge link in the adjoint representation 9/17/20156

Physical interpretation Choosing light-cone gauge, with certain boundary condition (either one, but not the principal value) Gauge link contributions can be dropped Number density interpretation, and can be calculated from the wave functions of nucleus  McLerran-Venugopalan  Kovchegov-Mueller 9/17/20157

Classic YM theory McLerran-Venugopalan  See also, Kovchegov-Mueller  We can reproduce this gluon distribution using the TMD definition with gauge link contribution, following BJY 02, BHPS 02  Weizsacker-Williams gluon distribution is the conventional one 9/17/20158

DIS dijet probes WW gluons Hard interaction includes the gluon attachments to both quark and antiquark The q t dependence is the gluon distribution w/o gauge link contribution at this order 9/17/20159

Final state interaction  gauge link Dominguez-Xiao-Yuan, 2010 This is exactly the leading order expansion of the gauge link contribution, checked at three-gluon exchange order 9/17/ ab ab

Differential cross section  Rigorous kt-factorization can be built for this process Initial photon, not hadron Similar to e+e-, Collins-Soper, 81 It is also a clean place to study the gluon Sivers function, Vogelsang-Yuan, 07 9/17/201511

Golden channel for an EIC Directly probe the Weizsacker-Williams gluon distribution in nucleus Factorization is very clear Various channels within DIS processes  Heavy flavor  Real/virtual photon 9/17/201512

Photon-jet correlation probes the dipole gluon distribution No difference for the Born diagram Naïve kt-factorization would predict the same q t - dependence 9/17/201513

Initial/final state interactions There is no color structure corresponding to this, We have to express the gluon Distribution in the Fundamental representation 9/17/ ab ab

Differential cross section Dominguez-Xiao-Yuan, 2010 This is the dipole gluon distribution, also called unintegrated gluon distribution 9/17/201515

Intuitive explanations Final state interactions in DIS can be eliminated by choosing the light-cone gauge  number density interpretation Photon-jet correlation have both initial/final state interactions, can not be eliminated by choosing LC gauge  there is no number density interpretation  dipole gluon distribution 9/17/201516

17 Initial state and/or final state interactions Dijet-correlation at RHIC Boer-Vogelsang 03 Jet 1 Jet 2 P,S T Standard (naïve) Factorization breaks! Becchetta-Bomhof-Mulders-Pijlman, Collins-Qiu 08; Vogelsang-Yuan 08 Rogers-Mulders 10; Xiao-Yuan, 10

Modified factorization Dilute system on a dense target, in the large Nc limit, 9/17/201518

Hard partonic cross section 9/17/201519

Kt-dependent gluon distributions 9/17/201520

Sudakov (CSS) Resummation Sudakov double logs can be re-summed in the small-x saturation formalism Radiated gluon momentum Soft gluon, α~β<<1 Collinear gluon, α~1, β<<1 Small-x collinear gluon, 1- β<<1, α  0  Rapidity divergence 9/17/ Mueller, Xiao, Yuan, PRL110, (2013)

Di-hadron correlations 9/17/201522

Conclusions: EIC Great opportunities in nuclear science Ultimate machine for nucleon spin physics Unique place to investigate gluon saturation Potential discovery in BSM physics 9/17/201523

Hadronization in cold nuclei vs hot matter 9/17/201524

Observables 9/17/201525

Intensity Frontier (EW Physics) 9/17/201526

Observables 9/17/201527

Diffractions 9/17/201528

EIC Proposals in US 9/17/201529

Small-x factorization eikonal approximation in high energy scattering 9/17/ Mueller, 1994

Splitting function Dipole amplitude At one-loop order 9/17/ Y~Log(1/x) BK-JIMWLK