论文标题
底部夸克碎片功能的重新召集效果
Resummation effects in the bottom-quark fragmentation function
论文作者
论文摘要
我们计算了当前理论知识的最好的$ b $ quark碎片函数的扰动组件。 $α_S^2 $在初始尺度上的固定级计算与软排放对数重新截止至近代到临时到领先的对数准确度相匹配，因此确切地考虑了订单-A $α_S^2 $校正，并以$ $ $ B $ B $ BO的贡献来考虑。这需要计算订单$α_S^2 $的梅林变换在整个复合平面中的梅林变量，我们首次为所有碎片partons提供了这第一次。进化是执行近代到接头的对数准确度的，并考虑使用Gluon碎片函数。通过LHAPDF网格提供扰动片段化功能。
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 $α_s^2$ 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-$α_s^2$ 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-$α_s^2$ 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.
