Resummation effects in the bottom-quark fragmentation function
| Autor: | Maltoni, Fabio, Ridolfi, Giovanni, Ubiali, Maria, Zaro, Marco |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | JHEP10 (2022) 027 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP10(2022)027 |
| Popis: | We compute the perturbative component of the fragmentation function of the $b$ quark to the best of the present theoretical knowledge. The fixed-order calculation to order $\alpha_s^2$ of the fragmentation function at the initial scale is matched with soft-emission logarithm resummation to next-to-next-to-leading logarithmic accuracy, so that order-$\alpha_s^2$ corrections are accounted for exactly, and logarithmically enhanced contributions from loops of $b$ quarks are included. This requires the calculation of the Mellin transform of the order-$\alpha_s^2$ result in the whole complex plane for the Mellin variable, which we provide for the first time for all the fragmenting partons. Evolution is performed to next-to-next- to-leading log accuracy, and mixing with the gluon fragmentation function is taken into account. The perturbative fragmentation functions are made available via LHAPDF grids. Comment: 25 pages, 4 figures |
| Databáze: | arXiv |
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