On the next-to-next-to-leading order evolution of flavour-singlet fragmentation functions
On the next-to-next-to-leading order evolution of flavour-singlet fragmentation functions
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DOI：
10.1016/j.nuclphysb.2011.08.028
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发表时间：
2012-01-01
影响因子：
2.8
通讯作者：
Vogt, A.
中科院分区：
文献类型：
--
作者：
Almasy, A. A.;Moch, S.;Vogt, A.
本文给出了微扰QCD中夸克-胶子和胶子-夸克类梯分裂函数对碎裂函数演化的三阶贡献。这些量已通过研究物理演化内核的光子和希格斯交换结构功能在深非弹性散射和他们的同行在半包容性湮灭，以及约束的动量和规则和超对称限制。为此，我们还计算了重顶极限下包含单强子的Higgs衰变的二阶系数函数。夸克-胶子分裂函数的不确定性在数值上是可以容忍的，它不影响小动量分数和大动量分数的端点坐标。我们简要地讨论这些限制，并说明了三阶修正的数值影响。所有三阶类时分裂函数的参数化是紧凑和准确的。(C)2011爱思唯尔有限公司版权所有。
We present the third-order contributions to the quark-gluon and gluon-quark tirnelike splitting functions for the evolution of fragmentation functions in perturbative QCD. These quantities have been derived by studying physical evolution kernels for photon- and Higgs-exchange structure functions in deep-inelastic scattering and their counterparts in semi-inclusive annihilation, together with constraints from the momentum sum rule and the supersymmetric limit. For this purpose we have also calculated the second-order coefficient functions for one-hadron inclusive Higgs decay in the heavy-top limit. A numerically tolerable uncertainty remains for the quark-gluon splitting function, which does not affect the endpoint logarithms for small and large momentum fractions. We briefly discuss these limits and illustrate the numerical impact of the third-order corrections. Compact and accurate parametrizations are provided for all third-order timelike splitting functions. (C) 2011 Elsevier B.V. All rights reserved.