One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator
High Energy Physics - Phenomenology
2025-07-04 v2 Nuclear Theory
Abstract
The transverse-momentum-dependent (TMD) soft function for a generic hadroproduction process involving massive colored particles is analytically calculated at the one-loop level, extended to higher orders in the dimensional regulator . We present both the azimuthal-angle-averaged and azimuthal-angle-dependent soft functions in impact-parameter space, making them suitable for small resummation calculations. Their analytic expressions are provided in terms of multiple polylogarithms. Our results offer essential ingredients for a complete higher-order perturbative calculation of the TMD soft function.
Cite
@article{arxiv.2504.05131,
title = {One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator},
author = {Hua-Sheng Shao and Guoxing Wang},
journal= {arXiv preprint arXiv:2504.05131},
year = {2025}
}
Comments
45 pages. v2: journal version (minor corrections wrt v1)