Perturbative renormalization factors of $\Delta S=1$ four-quark operators for domain-wall QCD

Abstract

Renormalization factors for $\Delta S=1$ four-quark operators in the effective weak Hamiltonian are perturbatively evaluated in domain-wall QCD. The one-loop corrections of $\Delta S=1$ four-quark operators consist of two types of diagrams: one is gluon exchange between quark lines and the other is penguin diagrams containing quark loops. Combining both contributions, our results allow a lattice calculation of the amplitude for $K\to \pi \pi$ decays with $O(g^2)$ corrections included.

19 pages, 1 figure as eps-file

References in corpus (2)

• Domain Wall Fermions in Quenched Lattice QCD
• Scaling property of domain-wall QCD in perturbation theory

Cited by in corpus (14)

• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• 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
• 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
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Phenomenology from lattice QCD
• Lattice 2001: Reflections
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• The Lattice $\Lambda$ Parameter in Domain Wall QCD
• Calculation of $K\to \pi \pi$ decay amplitudes from $K\to \pi$ matrix elements in quenched domain-wall QCD
• Matrix Elements of Light Quarks
• Thermal Phase Transition in the NJL Model of QCD