Unified explanation of the Solar and Atmospheric neutrino Puzzles in a minimal supersymmetric SO(10) model

Details Unified explanation of the Solar and Atmospheric neutrino Puzzles in a minimal supersymmetric SO(10) model Unified explanation of the Solar and Atmospheric neutrino Puzzles in a minimal supersymmetric SO(10) model

1997-10-15

arxiv.org/abs/hep-ph/9710371v2

Phys.Rev. D58 (1998) 015001

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages and 4 figures; Version substantially different from the original one but same conclusions

Scientific paper

10.1103/PhysRevD.58.015001

It was recently suggested that in a class of supersymmetric SO(10) models with Higgs multiplets in 10, and a single $126+\bar{126}$ representations, if the $\bar{126}$ contributes both to the right handed neutrino masses as well as to the charged fermion masses, one can have a complete prediction of the neutrino masses and mixings. It turns out that if one chooses only one 10, there are no regions in the parameter space where one can have a large $\nu_{\mu}-\nu_{\tau}$ mixing angle necessary to solve the atmospheric neutrino deficit while at the same time solving the solar neutrino puzzle via the $\nu_e \leftrightarrow \nu_{\mu}$ oscillation. We show that this problem can be solved in a particular class of SO(10) models with a pair of 10 multiplets if we include the additional left-handed triplet contribution to the light neutrino mass matrix. This model cannot reproduce the mass and mixing parameters required to explain the LSND observations neither does it have have a neutrino hot dark matter.

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