Rapidity-only TMD factorization at one loop

TL;DR

This paper extends the rapidity-only TMD factorization framework for gluon fusion particle production from tree level to one-loop level, providing a unified approach across all Bjorken x values.

Contribution

It introduces the one-loop extension of rapidity-only TMD factorization, enhancing the theoretical description of particle production in hadron collisions.

Findings

Successful derivation of one-loop corrections within the rapidity-only TMD framework

Unified description of small and moderate x_B regions

Potential for improved phenomenological predictions

Abstract

Typically, a production of a particle with a small transverse momentum in hadron-hadron collisions is described by CSS-based TMD factorization at moderate Bjorken $x_B\sim 1$ and by $k_T$-factorization at small $x_B$. A uniform description valid for all $x_B$ is provided by rapidity-only TMD factorization developed in a series of recent papers at the tree level. In this paper the rapidity-only TMD factorization for particle production by gluon fusion is extended to the one-loop level.