Symmetry realization of texture zeros
By W. Grimus, A. Joshipura, L. Lavoura, M. Tanimoto. 2004
162 citations recorded by the source corpus.
Abstract.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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a5324e6c2d89457b7070264a4623e22ecb01ea94
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Finite flavour groups of fermions (2011, background): “It is well-known that the usage of Abelian groups is synonymous with texture zeros in fermion mass matrices [6].”
- Flavor structures of charged fermions and massive neutrinos (2019, background): “This simple example tells us that it is always possible to enforce texture zeros upon a given fermion mass matrix by means of a proper Abelian flavor symmetry [722].”