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arXiv · hep-lat/9902008

Perturbative renormalization factors of three- and four-quark operators for domain-wall QCD

Sinya Aoki·Taku Izubuchi·Yoshinobu Kuramashi·Yusuke Taniguchi
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Abstract

Renormalization factors for three- and four-quark operators, which appear in the low energy effective Lagrangian of the proton decay and the weak interactions, are perturbatively calculated in domain-wall QCD. We find that the operators are multiplicatively renormalizable up to one-loop level without mixing with any other operators that have different chiral structures. As an application, we evaluate a renormalization factor for $B_K$ at the parameters where previous simulations have been performed, and find one-loop corrections to $B_K$ are 1-5% in these cases.

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Sinya Aoki, Taku Izubuchi, Yoshinobu Kuramashi, Yusuke Taniguchi. 1999-02-05. Perturbative renormalization factors of three- and four-quark operators for domain-wall QCD. https://doi.org/10.1103/physrevd.60.114504

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