Neutrino mass from M Theory SO(10)

Abstract

We study the origin of neutrino mass from $SO(10)$ arising from $M$ Theory compactified on a $G_2$-manifold. This is linked to the problem of the breaking of the extra $U(1)$ gauge group, in the $SU(5)\times U(1)$ subgroup of $SO(10)$, which we show can achieved via a (generalised) Kolda-Martin mechanism. The resulting neutrino masses arise from a combination of the seesaw mechanism and induced R-parity breaking contributions. The rather complicated neutrino mass matrix is analysed for one neutrino family and it is shown how phenomenologically acceptable neutrino masses can emerge.

arXiv comment32 pages, 12 figures

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• Standard Coupling Unification in SO(10), Hybrid Seesaw Neutrino Mass and Leptogenesis, Dark Matter, and Proton Lifetime Predictions
• $SO(10)$ inspired $Z^{\prime }$ models at the LHC
• Quark and lepton mass matrices from localization in M-theory on $G_2$ orbifold
• Neutrino mass matrices from localization in M-theory on $G_2$ orbifold