Resumming subleading Sudakov logarithms in saturation regime

Abstract

We investigate the scale dependence of transverse momentum dependent(TMD) gluon distribution in saturation regime. We found that in the Collins-2011 scheme, the scale dependence of small x gluon TMD is governed by the same renormalization group(RG) equation that holds at moderate or large $x$. Following the standard procedure, one then can resum both double leading logarithm and single leading logarithm in saturation regime by jointly solving the Collins-Soper equation and the RG equation.

17 pages, 4 figures

References in corpus (11)

• Universality of Unintegrated Gluon Distributions at small x
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• kt-factorization for Hard Processes in Nuclei
• Sudakov Resummation in Small-x Saturation Formalism
• Small-$x$ asymptotics of the quark helicity distribution
• Azimuthal asymmetries for quark pair production in pA collisions
• Systematic analysis of double-scale evolution
• The elliptic gluon GTMD inside a large nucleus
• Sea quark Sivers distribution
• Prompt photon - jet angular correlations at central rapidities in p+A collisions
• Directed flow from C-odd gluon correlations at small $x$

Cited by in corpus (9)

• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Nucleon Energy Correlators for the Color Glass Condensate
• Gluon distributions in the proton in a light-front spectator model
• Energy evolution of T-odd gluon TMDs at small $x$
• Sudakov suppression of the Balitsky-Kovchegov kernel
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• A parton shower generator based on the GLR equation
• Transverse momentum dependent distribution functions in the threshold limit
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit