Simple Approach to Renormalize the Cabibbo-Kobayashi-Maskawa Matrix

Journal Article · Fri Dec 01 00:00:00 EST 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.97.221801· OSTI ID:20861411

Kniehl, Bernd A; Sirlin, Alberto ^[1]

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1. Max-Planck-Institut fuer Physik (Werner-Heisenberg-Institut), Foehringer Ring 6, 80805 Munich (Germany)

We present an on-shell scheme to renormalize the Cabibbo-Kobayashi-Maskawa (CKM) matrix. It is based on a novel procedure to separate the external-leg mixing corrections into gauge-independent self-mass and gauge-dependent wave function renormalization contributions, and to implement the on-shell renormalization of the former with nondiagonal mass counterterm matrices. Diagonalization of the complete mass matrix leads to an explicit CKM counterterm matrix, which automatically satisfies all the following important properties: it is gauge independent, preserves unitarity, and leads to renormalized amplitudes that are nonsingular in the limit in which any two fermions become mass degenerate.

• OSTI ID: 20861411
• Journal Information: Physical Review Letters, Vol. 97, Issue 22; Other Information: DOI: 10.1103/PhysRevLett.97.221801; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CABIBBO ANGLE
FERMIONS
GAUGE INVARIANCE
KOBAYASHI-MASKAWA MATRIX
MASS
RENORMALIZATION
UNITARITY
WAVE FUNCTIONS