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

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

1999-02-05

arxiv.org/abs/hep-lat/9902008v1

Phys.Rev. D60 (1999) 114504

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 2 axodraw.sty figures

Scientific paper

10.1103/PhysRevD.60.114504

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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