Resummation effects in the bottom-quark fragmentation function

Resummation effects in the bottom-quark fragmentation function
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底夸克碎裂函数的恢复效应

DOI:
10.1007/jhep10(2022)027
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发表时间:
2022
影响因子:
5.4
通讯作者:
Maltoni F
Maltoni F
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Maltoni F

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我们利用目前最好的理论知识计算了b夸克碎片函数的微扰分量。在初始尺度上,碎片函数的定阶计算与软发射对数恢复的对数精度相匹配,从而精确地解释了顺序修正,并包括b夸克环的对数增强贡献。这需要计算Mellin变量在整个复平面上的阶数结果的Mellin变换,我们首次为所有分割部分提供了Mellin变换。进化到次至次至领先的测井精度,并考虑到胶子碎片函数的混合。微扰碎片化函数通过LHAPDF网格实现。
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 orderof 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-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-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.
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