Sudakov Double Logarithms Resummation in Hard Processes in Small-x Saturation Formalism

TL;DR

This paper systematically studies the resummation of Sudakov double logarithms in various hard processes within the small-x saturation framework, highlighting their significance for phenomenology at RHIC and LHC.

Contribution

It provides a comprehensive one-loop analysis of Sudakov logarithms in multiple processes, demonstrating their systematic resummation alongside small-x effects.

Findings

Sudakov logarithms are the leading correction in the processes studied.

Resummation of Sudakov logarithms can be systematically performed.

The Sudakov factor significantly impacts saturation physics phenomenology.

Abstract

In this manuscript, we present a complete study of the Sudakov double logarithms resummation for various hard processes in eA and pA collisions in the small-x saturation formalism. We first employ a couple of slightly different formalisms to perform the one-loop analysis of the Higgs boson production process in pA collisions, and demonstrate that Sudakov-type logarithms arise as the leading correction and that they can be systematically resummed in addition to the usual small-x resummation. We further study the Sudakov double logarithms for other processes such as heavy quark pair production and back-to-back dijet production in eA and pA collisions through detailed calculation of the corresponding one-loop diagrams. As the most important contribution from the one-loop correction, the Sudakov factor should play an important role in the phenomenological study of saturation physics in the pA programs at RHIC and the LHC.