论文标题

在Ri $ {}'$/SMOM方案中,在两个循环中对三夸克运营商的重新归一化

Renormalization of three-quark operators at two loops in the RI${}'$/SMOM scheme

论文作者

Kniehl, Bernd A., Veretin, Oleg L.

论文摘要

我们考虑在QCD扰动理论中,在对称减法点的QCD扰动理论中,三夸克运算符的重新规则化。这使我们能够在$ \ bar {\ rm MS} $方案与正则不变性对称妈妈(RI/SMOM,RI $ {}'$/SMOM)方案之间获得转换因子。结果以$r_ξ$量表的分析呈现,以一组主积分和数值为单位。它们可用于减少晶格QCD模拟中重型分布振幅的确定错误。

We consider the renormalization of the three-quark operators without derivatives at next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the $\bar{\rm MS}$ scheme and the regularization invariant symmetric MOM (RI/SMOM, RI${}'$/SMOM) schemes. The results are presented both analytically in $R_ξ$ gauge in terms of a set of master integrals and numerically in Landau gauge. They can be used to reduce the errors in determinations of baryonic distribution amplitudes in lattice QCD simulations.

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