Mass Independent Textures and Symmetry

Details Mass Independent Textures and Symmetry Mass Independent Textures and Symmetry

2006-11-01

arxiv.org/abs/hep-ph/0611017v2

Phys.Rev.D74:113004,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.74.113004

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.

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