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

Sinya Aoki·Yoshinobu Kuramashi
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Abstract

Renormalization factors for $ΔS =1$ four-quark operators in the effective weak Hamiltonian are perturbatively evaluated in domain-wall QCD. The one-loop corrections of $ΔS=1$ 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 $K\to ππ$ decays with $O(g^2)$ corrections included.

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Sinya Aoki, Yoshinobu Kuramashi. 2000-07-18. Perturbative renormalization factors of $ΔS = 1$ four-quark operators for domain-wall QCD. https://doi.org/10.1103/physrevd.63.054504

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