Time-Like Heavy-Flavour Thresholds for Fragmentation Functions: the Light-Quark Matching Condition at NNLO
| Autor: | Biello, Christian, Bonino, Leonardo |
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| Rok vydání: | 2024 |
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| Zdroj: | Eur.Phys.J.C 84 (2024) 11, 1192 |
| Druh dokumentu: | Working Paper |
| Popis: | Matching conditions are universal ingredients that describe how fragmentation functions change when heavy-flavour thresholds are crossed during the factorisation scale evolution. They are the last missing piece for a consistent description of observables with identified final-state hadrons at next-to-next-to leading order accuracy in quantum chromodynamics. We present an analytical form of the matching condition for light-flavour to hadron fragmentation function at next-to-next-to leading order. The derivation is performed by extending the formalism employed in the extraction of the next-to leading order matching conditions to the subsequent order, making use of $e^+e^-$ annihilation cross sections. We obtain the first non-trivial heavy-quark effect in the light-quark fragmentation functions and provide results in Mellin space. Comment: 17 pages, 3 figures, ancillary file with analytical results; matches the published version: added gluon master formula, updated ancillary files and plots |
| Databáze: | arXiv |
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