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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2504.05131 |
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| _version_ | 1866911035729903616 |
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| author | Shao, Hua-Sheng Wang, Guoxing |
| author_facet | Shao, Hua-Sheng Wang, Guoxing |
| contents | 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 $ε$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05131 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator Shao, Hua-Sheng Wang, Guoxing High Energy Physics - Phenomenology Nuclear Theory 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 $ε$. 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. |
| title | One-loop transverse-momentum-dependent soft function at higher orders in the dimensional regulator |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2504.05131 |