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arXiv 0709.3899hep-ph
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三阶类时分裂函数与顶介导的Higgs衰变为强子

On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons

S. Moch, A. Vogt

摘要:

我们利用微扰QCD中类空和类时深度非弹性过程之间的关系,计算了味单重态碎裂分布演化中类时夸克-夸克和胶子-胶子分裂函数的次-次-领先阶(NNLO)贡献.我们简要地解决这些三阶修正的端点行为和数值大小,并写下所有四个类时分裂函数的二阶矩。我们用同样的方法重新推导了在一个重顶夸克和五个无质量味的极限下希格斯玻色子衰变为强子的速率的NNLO结果,并证实了最近N^3LO对这个量的计算。

英文摘要:

We employ relations between spacelike and timelike deep-inelastic processes in perturbative QCD to calculate the next-to-next-to-leading order (NNLO) contributions to the timelike quark-quark and gluon-gluon splitting functions for the evolution of flavour-singlet fragmentation distributions. We briefly address the end-point behaviour and the numerical size of these third-order corrections, and write down the second moments of all four timelike splitting functions. In the same manner we re-derive the NNLO result for the Higgs-boson decay rate into hadrons in the limit of a heavy top quark and five massless flavours, and confirm the recent N^3LO computation of this quantity.

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