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arXiv 0903.4623hep-ph
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手征极限下深度非弹性散射的三圈MSbar算子关联函数

Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit

J. A. Gracey

摘要:

在手征极限下,我们用MSbar格式计算了三阶的各种算符-算符关联函数。这些包括夸克双线性流与规范不变算子的组合,例如深度非弹性散射的味非单线态Wilson算子的矩n = 2和3,横向算子的矩n = 2,以及后者算子与自身的关联函数。这些规范独立的关联函数的显式值是必需的,以协助非微扰匹配晶格正则化计算相同的数量。作为计算的一部分,我们确定的混合矩阵的重整化常数的这些非单态电流与其相关的总导数运营商在相同的扭曲到三个循环的MSbar。这样的运营商是至关重要的,在提取重整化常数的运营商-运营商关联函数,这是符合相应的重整化群方程。作为一个副产品,我们推导出的R比张量流的三阶MSbar计划。

英文摘要:

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the flavour non-singlet Wilson operators of deep inelastic scattering and moment n = 2 of the transversity operator, as well as the correlation functions of the latter operators with themselves. The explicit values of these gauge independent correlation functions are required to assist with non-perturbative matching to lattice regularized calculations of the same quantities. As part of the computation we determine the mixing matrix of renormalization constants of these non-singlet currents with their associated total derivative operators at the same twist to three loops in MSbar. Such operators are crucial in extracting renormalization constants for the operator-operator correlation functions which are consistent with the corresponding renormalization group equation. As a by-product we deduce the R-ratio for the tensor current to third order in the MSbar scheme.

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