Sudakov Resummation in Small-x Saturation Formalism

TL;DR

This paper demonstrates how to systematically separate and resum Sudakov logarithms from small-x logarithms in high-energy pA collisions, providing a framework for improved theoretical predictions in saturation physics.

Contribution

It introduces a method to explicitly isolate and resum Sudakov logarithms within the small-x saturation formalism at one-loop order.

Findings

Sudakov logarithms can be separated from small-x logarithms.

Derived all-order resummation of Sudakov logarithms.

Discussed phenomenological implications for high-energy collisions.

Abstract

Through an explicit calculation of massive scalar particle (e.g., Higgs boson) production in high energy pA collisions up to one-loop order, we demonstrate that the Sudakov-type logarithms in hard processes in small-x saturation formalism can be systematically separated from the typical small-x logarithms. The generic feature of the Sudakov logarithms and all order resummation is derived. We further comment on the phenomenological implications and extension to other hard processes in the small-x calculations.