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Resummation effects in the bottom-quark fragmentation function
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DOI：10.1007/JHEP10(2022)027.png)
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摘要
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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(2)(s) 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(2)(s) 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(2)(s) 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.
Keyword:
Resummation
Bottom Quarks
Higher-Order Perturbative Calculations
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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