Fermion flavor mixing in models with dynamical mass generation

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.065029· OSTI ID:21409435

Benes, Petr ^[1]

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1. Department of Theoretical Physics, Nuclear Physics Institute, Rez, Prague (Czech Republic)

We present a model-independent method of dealing with fermion flavor mixing in the case when instead of constant, momentum-independent mass matrices one has rather momentum-dependent self-energies. This situation is typical for strongly coupled models of dynamical fermion mass generation. We demonstrate our approach on the example of quark mixing. We show that quark self-energies with a generic momentum dependence lead to an effective Cabibbo-Kobayashi-Maskawa matrix, which turns out to be in general nonunitary, in accordance with previous claims of other authors, and to nontrivial flavor changing electromagnetic and neutral currents. We also discuss some conceptual consequences of the momentum-dependent self-energies and show that in such a case the interaction basis and the mass basis are not related by a unitary transformation. In fact, we argue that the latter is merely an effective concept, in a specified sense. While focusing mainly on the fermionic self-energies, we also study the effects of momentum-dependent radiative corrections to the gauge bosons and to the proper vertices. Our approach is based on an application of the Lehmann-Symanzik-Zimmermann reduction formula and for the special case of constant self-energies it gives the same results as the standard approach based on the diagonalization of mass matrices.

• OSTI ID: 21409435
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
BOSONS
COMPOSITE MODELS
CORRECTIONS
CURRENTS
ENERGY
FERMIONS
FLAVOR MODEL
INTERACTIONS
KOBAYASHI-MASKAWA MATRIX
MASS
MATHEMATICAL MODELS
MATRICES
MIXING
NEUTRAL CURRENTS
PARTICLE MODELS
QUARK MODEL
QUARKS
RADIATIVE CORRECTIONS
SELF-ENERGY
TRANSFORMATIONS