A Novel Formulation of Cabibbo-Kobayashi-Maskawa Matrix Renormalization
Bernd A. Kniehl, Alberto Sirlin
TL;DR
This paper introduces a gauge-independent, practical method for CKM matrix renormalization in the Standard Model that maintains unitarity and other key theoretical properties.
Contribution
It proposes a new, Lorentz-invariant, hermiticity-preserving quark mass counterterm for CKM matrix renormalization, improving theoretical consistency and practical applicability.
Findings
Gauge-independent CKM counterterm matrix derived
Preserves unitarity and flavor democracy
Facilitates practical calculations in the Standard Model
Abstract
We present a gauge-independent quark mass counterterm for the on-shell renormalization of the Cabibbo-Kobayashi-Maskawa (CKM) matrix in the Standard Model that is directly expressed in terms of the Lorentz-invariant self-energy functions, and automatically satisfies the hermiticity constraints of the mass matrix. It is very convenient for practical applications and leads to a gauge-independent CKM counterterm matrix that preserves unitarity and satisfies other highly desirable theoretical properties, such as flavor democracy.
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