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

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.

24 pages, 2 axodraw.sty figures

References in corpus (4)

• One loop calculation in lattice QCD with domain-wall quarks
• Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD
• Domain wall fermions in vector gauge theories
• Light quark masses using domain wall fermions

Cited by in corpus (21)

• A Lattice Study of the Nucleon Excited States with Domain Wall Fermions
• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• Non-perturbative Renormalisation of Domain Wall Fermions: Quark Bilinears
• Kaon B parameter from quenched domain-wall QCD
• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• Twisted mass QCD and lattice approaches to the $\Delta I=1/2$ rule
• Perturbative renormalization factors in domain-wall QCD with improved gauge actions
• Exact Chiral Symmetry on the Lattice
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Lattice 2001: Reflections
• Domain Wall Fermions in Quenched Lattice QCD
• Perturbative renormalization factors of $\Delta S=1$ four-quark operators for domain-wall QCD
• Precise determination of $B_K$ and light quark masses in quenched domain-wall QCD
• Schroedinger functional formalism with domain-wall fermion
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• The Lattice $\Lambda$ Parameter in Domain Wall QCD
• Perturbative renormalization for static and domain-wall bilinears and four-fermion operators with improved gauge actions
• Perturbative renormalization factors for generic $\Delta s=2$ four-quark operators in domain-wall QCD with improved gauge action
• Calculation of $K\to \pi \pi$ decay amplitudes from $K\to \pi$ matrix elements in quenched domain-wall QCD
• Matrix Elements of Light Quarks