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The problem of finding a suitable parametrization for a nontrivial lepton mixing matrix is considered in the framework of the "sequential" Weinberg-Salam theory. It is noted that in the case of n lepton generations there are in fact n+1 different theories, corresponding to different numbers m of right-handed neutrino fields present in the Lagrangian. These (n, m) models conserve CP for leptonic couplings naturally only for m=0 or 1 when n3. These models would seem to be useful as self-consistent approximations for reducing the number of parameters in the experimental analysis of lepton mixing matrices.
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Schechter et al. (Tue,) studied this question.
synapsesocial.com/papers/6a1212aba2d24b27c1669c78 — DOI: https://doi.org/10.1103/physrevd.21.309
J. Schechter
Universitat Autònoma de Barcelona
J. W. F. Valle
Instituto de Física Corpuscular
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
Syracuse University
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