A collinear shower algorithm for NSL non-singlet fragmentation
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914948264755200 |
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| author | van Beekveld, Melissa Dasgupta, Mrinal El-Menoufi, Basem Kamal Helliwell, Jack Monni, Pier Francesco Salam, Gavin P. |
| author_facet | van Beekveld, Melissa Dasgupta, Mrinal El-Menoufi, Basem Kamal Helliwell, Jack Monni, Pier Francesco Salam, Gavin P. |
| contents | We formulate a collinear partonic shower algorithm that achieves next-to-single-logarithmic (NSL, $α_s^n L^{n-1}$) accuracy for collinear-sensitive non-singlet fragmentation observables. This entails the development of an algorithm for nesting triple-collinear splitting functions. It also involves the inclusion of the one-loop double-collinear corrections, through a $z$-dependent NLO-accurate effective $1\to 2$ branching probability, using a formula that can be applied more generally also to future full showers with $1\to3$ splitting kernels. The specific NLO branching probability is calculated in two ways, one based on slicing, the other using a subtraction approach based on recent analytical calculations. We close with demonstrations of the shower's accuracy for non-singlet partonic fragmentation functions and the energy spectrum of small-$R$ quark jets. This work represents an important conceptual step towards general NNLL accuracy in parton showers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08316 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A collinear shower algorithm for NSL non-singlet fragmentation van Beekveld, Melissa Dasgupta, Mrinal El-Menoufi, Basem Kamal Helliwell, Jack Monni, Pier Francesco Salam, Gavin P. High Energy Physics - Phenomenology We formulate a collinear partonic shower algorithm that achieves next-to-single-logarithmic (NSL, $α_s^n L^{n-1}$) accuracy for collinear-sensitive non-singlet fragmentation observables. This entails the development of an algorithm for nesting triple-collinear splitting functions. It also involves the inclusion of the one-loop double-collinear corrections, through a $z$-dependent NLO-accurate effective $1\to 2$ branching probability, using a formula that can be applied more generally also to future full showers with $1\to3$ splitting kernels. The specific NLO branching probability is calculated in two ways, one based on slicing, the other using a subtraction approach based on recent analytical calculations. We close with demonstrations of the shower's accuracy for non-singlet partonic fragmentation functions and the energy spectrum of small-$R$ quark jets. This work represents an important conceptual step towards general NNLL accuracy in parton showers. |
| title | A collinear shower algorithm for NSL non-singlet fragmentation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.08316 |