Analytical results for the C-angularity soft function at NNLO
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912793907691520 |
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| author | Bennett, Alexander Byrne, Emmet P. Gaunt, Jonathan R. Lang, Elsa C. |
| author_facet | Bennett, Alexander Byrne, Emmet P. Gaunt, Jonathan R. Lang, Elsa C. |
| contents | We compute the soft function at NLO and NNLO for a one-parameter family of event shapes we call C-angularity. This family contains C-parameter as a specific choice of the parameter, in close analogy with how conventional angularity contains thrust as a special case. By construction, C-angularity and angularity coincide in the collinear limit such that the anomalous dimensions are equal. However, unlike angularity, C-angularity is a continuously differentiable function of the final state momenta, which makes the analytic calculation of the C-angularity soft function simpler. We obtain analytical results for the C-angularity soft function and anomalous dimension as an expansion in the C-angularity parameter $a$, to third and fourth order in $a$ respectively. These expansions yield results that are accurate at the few per mille level for $-1\le a < 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23398 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytical results for the C-angularity soft function at NNLO Bennett, Alexander Byrne, Emmet P. Gaunt, Jonathan R. Lang, Elsa C. High Energy Physics - Phenomenology We compute the soft function at NLO and NNLO for a one-parameter family of event shapes we call C-angularity. This family contains C-parameter as a specific choice of the parameter, in close analogy with how conventional angularity contains thrust as a special case. By construction, C-angularity and angularity coincide in the collinear limit such that the anomalous dimensions are equal. However, unlike angularity, C-angularity is a continuously differentiable function of the final state momenta, which makes the analytic calculation of the C-angularity soft function simpler. We obtain analytical results for the C-angularity soft function and anomalous dimension as an expansion in the C-angularity parameter $a$, to third and fourth order in $a$ respectively. These expansions yield results that are accurate at the few per mille level for $-1\le a < 1$. |
| title | Analytical results for the C-angularity soft function at NNLO |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.23398 |