Generating the texture of symmetric fermion mass matrices and anomalous hierarchy patterns for the neutrinos from an extra abelian symmetry

1995/10/20 by E. Papageorgiu, Papageorgiu, E.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9510352

17 pages of LATEX

arxiv created 1995/10/20 · arxiv updated 2009/11/30

Abstract

Assuming that a horizontal abelian (gauge) symmetry is at the origin of texture zeros in the fermion mass matrices we show how realistic mass patterns can be generated stepwise with a small number of effective operators from GUT's and string theory. It is interesting to note that, in the minimal scenario, if the up quark and the down quark mass matrices are generated simultaneously their texture is formaquivalent and contains only two zeros. Textures with more zeros (and thus more predictability) emerge if the up and down sectors are generated stepwise. This last possibility leads to rather anomalous neutrino patterns with mass degenerate neutrinos and large ν_μ - ν_τ or ν_e - ν_τ mixing even in the absence of hierarchy in M_R, the mass matrix of the righthanded neutrinos, and as required by the LSND results if they were to be confirmed by future experiments. In contrast if the quark mass matrices have two zero entries (or less) the neutrino mass-mixing spectrum is independent of the texture structure of M_R -if the latter does not contain any hierarchy of scales- and obeys the quadratic seesaw.

Related

• Neutrino mass matrices, texture zeros, and family symmetries
• Textures, Family Symmetries and Neutrino Masses
• Deviation from μ-τ Symmetry with New Approaches
• Textures of Neutrino Mass Matrix from S₄-flavor Symmetry
• Texture zeroes and discrete flavor symmetries in light and heavy Majorana neutrino mass matrices: a bottom-up approach