A basis-choice variant of the on-shell renormalization scheme eliminates mixing-matrix counterterms and is used to compute consistent 1-loop hadronic W decay widths in the SM.
Gauge dependence of the on-shell renormalized mixing matrices
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abstract
It was recently pointed out that the on-shell renormalization of the Cabibbo-Kobayashi-Maskawa (CKM) matrix in the method by Denner and Sack causes a gauge parameter dependence of the amplitudes. We analyze the gauge dependence of the on-shell renormalization of the mixing matrices both for fermions and scalars in general cases, at the one-loop level. We then show that this gauge dependence can be avoided by fixing the counterterms for the mixing matrices in terms of the off-diagonal wave function corrections for fermions and scalars after a rearrangement, in a similar manner to the pinch technique for gauge bosons. We finally present explicit calculation of the gauge dependence for two cases: CKM matrix in the Standard Model, and left-right mixing of scalar quarks in the minimal supersymmetric standard model.
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One-loop corrections in the complex Higgs triplet model shift the 125 GeV Higgs decay rates to WW* and ZZ* upward by a few percent relative to the SM, while allowing up to -20% deviation in gamma gamma and 100% in the self-coupling.
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Renormalization of mixing angles and computation of the hadronic $W$ decay widths
A basis-choice variant of the on-shell renormalization scheme eliminates mixing-matrix counterterms and is used to compute consistent 1-loop hadronic W decay widths in the SM.
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Radiative corrections to decays of the 125 GeV Higgs boson in the complex Higgs triplet model
One-loop corrections in the complex Higgs triplet model shift the 125 GeV Higgs decay rates to WW* and ZZ* upward by a few percent relative to the SM, while allowing up to -20% deviation in gamma gamma and 100% in the self-coupling.