On the Threshold Resummation in Forward pA Collisions

TL;DR

This paper develops a systematic formalism for threshold resummation in forward rapidity particle production in proton-nucleus collisions, using Higgs production as an example, with broad applicability and phenomenological relevance.

Contribution

It introduces a forward threshold jet function satisfying a renormalization group equation into the saturation formalism, enabling systematic resummation for forward rapidity processes.

Findings

Constructed a formalism for threshold resummation in forward pA collisions.

Introduced a forward threshold jet function with renormalization group properties.

Applicable to various processes like single forward hadron production.

Abstract

In this paper, using the Higgs production in forward rapidity region in proton-nucleus collisions as an example, we demonstrate that we can construct a systematic formalism for the threshold resummation for forward rapidity particle productions in the saturation formalism. The forward threshold jet function, which satisfies the corresponding renormalization group equation, is introduced into the new factorization formula. This calculation can be easily generalized to other processes, such as single forward hadron productions at forward rapidity region, and have important phenomenological implications.