Naturalness and the Neutrino Matrix

Details Naturalness and the Neutrino Matrix Naturalness and the Neutrino Matrix

2007-11-12

arxiv.org/abs/0711.1687v2

Phys.Rev.D77:053005,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Discussion about neutrinoless double beta decay expanded; typos corrected; references added and updated

Scientific paper

10.1103/PhysRevD.77.053005

The observed pattern of neutrino mass splittings and mixing angles indicates that their family structure is significantly different from that of the charged fermions. We investigate the implications of these data for the fermion mass matrices in grand unified theories with a type-I seesaw mechanism. We show that, with simple assumptions, naturalness leads to a strongly hierarchical Majorana mass matrix for heavy right-handed neutrinos and a partially cascade form for the Dirac neutrino matrix. We consider various model building scenarios which could alter this conclusion, and discuss their consequences for the construction of a natural model. We find that including partially lopsided matrices can aid us in generating a satisfying model.

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