Neutrino mass from M Theory SO(10)

TL;DR

This paper explores how neutrino masses can originate from M Theory compactified on a G2-manifold with SO(10) symmetry, involving symmetry breaking and a combination of seesaw and R-parity breaking mechanisms.

Contribution

It demonstrates a novel approach linking M Theory compactification, symmetry breaking, and neutrino mass generation through a detailed analysis of the neutrino mass matrix.

Findings

Neutrino masses can be phenomenologically acceptable.

Breaking of the extra U(1) gauge group is achievable via a generalized Kolda-Martin mechanism.

A combined seesaw and R-parity breaking mechanism explains neutrino masses.

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.