Mass Independent Textures and Symmetry

Abstract

A mass-independent texture is a set of linear relations of the fermion mass-matrix elements which imposes no constraint on the fermionic masses nor the Majorana phases. Magic and 2-3 symmetries are examples. We discuss the general construction and the properties of these textures, as well as their relation to the quark and neutrino mixing matrices. Such a texture may be regarded as a symmetry, whose unitary generators of the symmetry group can be explicitly constructed. In particular, the symmetries connected with the tri-bimaximal neutrino mixing matrix are discussed, together with the physical consequence of breaking one symmetry but preserving another.

Version to be published in PRD. References modified, and a misprint in eq (9) is corrected

Cited by in corpus (7)

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• Correlation between Leptonic CP Violation and mu-tau Symmetry Breaking
• Theory of the Neutrino Mass
• Plaquette Invariants and the Flavour Symmetric Description of Quark and Neutrino Mixings