Four-loop results on anomalous dimensions and splitting functions in QCD

Four-loop results on anomalous dimensions and splitting functions in QCD
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QCD 中反常尺寸和分裂函数的四循环结果

DOI:
10.22323/1.290.0046
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发表时间:
2018
期刊:
arXiv: High Energy Physics - Phenomenology
影响因子:
--
通讯作者:
J. Vermaseren
J. Vermaseren
中科院分区:
--
文献类型:
--
作者:
A. Vogt;S. Moch;B. Ruijl;Takahiro Ueda;J. Vermaseren

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本文报道了微扰QCD中风味非单线分裂函数的最新研究进展。在大量颜色的平面极限下,得到了对这些函数的精确四环(N^3LO)贡献。对于目前还不完全知道的部分,已经得到了足够的现象学近似表达式。这两种情况都包括四环尖和虚异常维的结果,它们的相关性远远超出了非单重态夸克分布的演化,目前已经达到了(远)低于1%的精度。
We report on recent progress on the flavour non-singlet splitting functions in perturbative QCD. The~exact four-loop (N^3LO) contribution to these functions has been obtained in the planar limit of a large number of colours. Phenomenologically sufficient approximate expressions have been obtained for the parts not exactly known so far. Both cases include results for the four-loop cusp and virtual anomalous dimensions which are relevant well beyond the evolution of non-singlet quark distributions, for which an accuracy of (well) below 1% has now been been reached.
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