Fermion mixing renormalization and gauge invariance
Nov, 1998
9 pages
Published in:
- Phys.Lett.B 454 (1999) 98-104
e-Print:
- hep-ph/9811470 [hep-ph]
Report number:
- TUM-HEP-332-98,
- MPI-PHT-98-86
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Abstract:
We study the renormalization of the fermion mixing matrix in the Standard Model and derive the constraints that must be satisfied to respect gauge invariance to all orders. We demonstrate that the prescription based on the {\it on-shell} renormalization conditions is not consistent with the Ward-Takahashi Identities and leads to gauge dependent physical amplitudes. A simple scheme is proposed that satisfies all theoretical requirements and is very convenient for practical calculations.Note:
- 10 pages, LaTex; Revised version accepted for publication in Phys. Lett. B Report-no: TUM-HEP-332/98, MPI/PhT/98-86
- gauge field theory: SU(3) x SU(2) x U(1)
- fermion
- Higgs model
- mixing angle: renormalization
- invariance: gauge
- perturbation theory: higher-order
- Ward identity
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