Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911221826977792 |
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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 non-relativistic heavy quark pair production at hadron colliders is analytically computed at next-to-next-to-leading order (NNLO) in the strong coupling expansion. We present the details of our computational approach and analyze the general two-loop structure of the soft function. The final result, which takes a particularly simple form, provides the last missing ingredient for a complete NNLO calculation of color-octet $S$-wave quarkonium hadroproduction--including charmonium, bottomonium, and toponium--using the $q_T$-slicing formalism. It also enables next-to-next-to-next-to-leading-logarithmic (N$^3$LL) resummation at small transverse momentum for the same process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23791 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold Shao, Hua-Sheng Wang, Guoxing High Energy Physics - Phenomenology High Energy Physics - Experiment The transverse-momentum-dependent (TMD) soft function for non-relativistic heavy quark pair production at hadron colliders is analytically computed at next-to-next-to-leading order (NNLO) in the strong coupling expansion. We present the details of our computational approach and analyze the general two-loop structure of the soft function. The final result, which takes a particularly simple form, provides the last missing ingredient for a complete NNLO calculation of color-octet $S$-wave quarkonium hadroproduction--including charmonium, bottomonium, and toponium--using the $q_T$-slicing formalism. It also enables next-to-next-to-next-to-leading-logarithmic (N$^3$LL) resummation at small transverse momentum for the same process. |
| title | Analytic NNLO transverse-momentum-dependent soft function for heavy quark pair hadroproduction at threshold |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2506.23791 |