A collinear shower algorithm for NSL non-singlet fragmentation
Abstract We formulate a collinear partonic shower algorithm that achieves next-to-single-logarithmic (NSL, α s n L n − 1 $$ {\alpha}_s^n{L}^{n-1} $$ ) accuracy for collinear-sensitive non-singlet fragmentation observables. This entails the development of an algorithm for nesting triple-collinear spl...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2025)209 |
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| Summary: | Abstract We formulate a collinear partonic shower algorithm that achieves next-to-single-logarithmic (NSL, α s n L n − 1 $$ {\alpha}_s^n{L}^{n-1} $$ ) 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 → 2 branching probability, using a formula that can be applied more generally also to future full showers with 1 → 3 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. |
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| ISSN: | 1029-8479 |