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

1999/02/05 by Sinya Aoki, Taku Izubuchi, Y. Kuramashi +2
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.60.114504

published as Phys.Rev. D60 (1999) 114504 · 24 pages, 2 axodraw.sty figures

arxiv created 1999/02/05 · openalex publication_date 1999/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 the 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.

Citations

• Perturbative renormalization factors of quark bilinear operators for domain-wall QCD
• Axial symmetries in lattice QCD with Kaplan fermions
• Chiral fermions from lattice boundaries