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arXiv · 2504.05131

One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator

Hua-Sheng Shao·Guoxing Wang
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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 $\epsilon$. We present both the azimuthal-angle-averaged and azimuthal-angle-dependent soft functions in impact-parameter space, making them suitable for small $q_T$ 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.

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Hua-Sheng Shao, Guoxing Wang. 2025-04-07. One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator. https://doi.org/10.1007/jhep06(2025)255

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