$N$-Jettiness Soft Functions Made Simple
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866911593994911744 |
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| author | Buonocore, Luca Delto, Maximilian Melnikov, Kirill Monni, Pier Francesco Pikelner, Andrey Vita, Gherardo |
| author_facet | Buonocore, Luca Delto, Maximilian Melnikov, Kirill Monni, Pier Francesco Pikelner, Andrey Vita, Gherardo |
| contents | We present a new method to compute the soft function for the $N$-Jettiness variable for arbitrary $N$ at high perturbative orders in QCD. It is based on the observation that the most singular part of the soft function, the dipole contribution, can be represented by a sum of an analytically calculable inclusive soft function and a remainder. The latter is absent at NLO, is immediately finite at NNLO and can be made finite with the help of simple NLO-like infrared subtractions at N$^3$LO. As a byproduct of this approach, we derive a very simple formula for the tripole contribution to the $N$-Jettiness NNLO soft function, which results in a fast numerical evaluation. We apply this method to compute the $N$-Jettiness soft function at NNLO, and report numerical results for up to five jets for the hadron-collider soft function. We finally outline the prospects for applications at N$^3$LO. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13167 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $N$-Jettiness Soft Functions Made Simple Buonocore, Luca Delto, Maximilian Melnikov, Kirill Monni, Pier Francesco Pikelner, Andrey Vita, Gherardo High Energy Physics - Phenomenology We present a new method to compute the soft function for the $N$-Jettiness variable for arbitrary $N$ at high perturbative orders in QCD. It is based on the observation that the most singular part of the soft function, the dipole contribution, can be represented by a sum of an analytically calculable inclusive soft function and a remainder. The latter is absent at NLO, is immediately finite at NNLO and can be made finite with the help of simple NLO-like infrared subtractions at N$^3$LO. As a byproduct of this approach, we derive a very simple formula for the tripole contribution to the $N$-Jettiness NNLO soft function, which results in a fast numerical evaluation. We apply this method to compute the $N$-Jettiness soft function at NNLO, and report numerical results for up to five jets for the hadron-collider soft function. We finally outline the prospects for applications at N$^3$LO. |
| title | $N$-Jettiness Soft Functions Made Simple |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2604.13167 |