Perturbative renormalization factors of $ΔS = 1$ four-quark operators for domain-wall QCD

Details Perturbative renormalization factors of $ΔS = 1$ four-quark operators for domain-wall QCD Perturbative renormalization factors of $ΔS = 1$ four-quark operators for domain-wall QCD

2000-07-18

arxiv.org/abs/hep-lat/0007024v1

Phys.Rev. D63 (2001) 054504

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 1 figure as eps-file

Scientific paper

10.1103/PhysRevD.63.054504

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.

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