Feynman Rules for the Rational Part of the Standard Model One-loop Amplitudes in the 't Hooft-Veltman $\gamma_5$ Scheme

摘要

We study Feynman rules for the rational part $R$ of the Standard Modelamplitudes at one-loop level in the 't Hooft-Veltman $\gamma_5$ scheme.Comparing our results for quantum chromodynamics and electroweak 1-loopamplitudes with that obtained based on the Kreimer-Korner-Schilcher (KKS)$\gamma_5$ scheme, we find the latter result can be recovered when our$\gamma_5$ scheme becomes identical (by setting $g5s=1$ in our expressions)with the KKS scheme. As an independent check, we also calculate Feynman rulesobtained in the KKS scheme, finding our results in complete agreement withformulae presented in the literature. Our results, which are studied in twodifferent $\gamma_5$ schemes, may be useful for clarifying the $\gamma_5$problem in dimensional regularization. They are helpful to eliminate or findambiguities arising from different dimensional regularization schemes.