Symmetry realization of texture zeros

We show that it is possible to enforce texture zeros in arbitrary entries of the fermion mass matrices by means of Abelian symmetries; in this way, many popular mass-matrix textures find a symmetry justification. We propose two alternative methods which allow one to place zeros in any number of elem...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2004-08, Vol.36 (2), p.227-232
Main Authors: Grimus, W., Joshipura, A. S., Lavoura, L., Tanimoto, M.
Format: Article
Language:English
Subjects:
Fermions
Grand unified theory
Leptons
Mathematical analysis
Matrix methods
Scalars
Symmetry
Texture
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Summary:We show that it is possible to enforce texture zeros in arbitrary entries of the fermion mass matrices by means of Abelian symmetries; in this way, many popular mass-matrix textures find a symmetry justification. We propose two alternative methods which allow one to place zeros in any number of elements of the mass matrices that one wants. They are applicable simultaneously in the quark and lepton sectors. They are also applicable in grand unified theories. The number of scalar fields required by our methods may be large; still, in many interesting cases this number can be reduced considerably. The larger the desired number of texture zeros is, the simpler are the models which reproduce the texture.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s2004-01896-y