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RESEARCH PRODUCT

Problems with the Breitenlohner-Maison γ5-scheme in flavour changing neutral currents

Michael A. DoncheskiJ. G. KörnerHoward GrotchA. BarrosoKarl Schilcher

subject

PhysicsNuclear and High Energy PhysicsParticle physicsNeutral currentScalar (mathematics)Flavour

description

Abstract We calculate the flavour changing neutral current (FCNC) decay Z → Q q at one-loop order using two different γ 5 -prescriptions, namely the Breitenlohner-Maison-'t Hooft-Veltman (BM) γ 5 -scheme and a naively anticommuting γ 5 . The results obtained in the two schemes differ from one another. The BM γ 5 -scheme calculation violates the conventional Ward identity relating the Z → Q q and the unphysical scalar φ z → Q q proper vertices which the naive γ 5 -calculation satisfies. Hence, we conclude that it is incorrect to naively apply the BM γ 5 -scheme if the standard model is renormalized on-shell.

https://doi.org/10.1016/0370-2693(91)91336-t