Bi-maximal Neutrino Mixings And Proton Decay In SO(10) With Anomalous Flavor ${\cal U}(1)$

TL;DR

This paper presents a supersymmetric SO(10) model with an anomalous ${}$ flavor symmetry that explains fermion mass hierarchies, neutrino oscillation data, and predicts proton decay rates.

Contribution

It introduces a novel SO(10) framework with ${A}$ symmetry and extra matter fields to unify fermion masses, mixings, and neutrino oscillations, including bi-maximal mixings.

Findings

Explains charged fermion mass hierarchies.

Predicts proton decay rate $ au_{p o K u}$ an order of magnitude higher than minimal SU(5).

Incorporates bi-maximal neutrino mixing and MSW solutions.

Abstract

By supplementing supersymmetric SO(10) with an anomalous ${\cal U}(1)$ flavor symmetry and additional `matter' superfields carrying suitable ${\cal U}(1)$ charges, we explain the charged fermion mass hierarchies, the magnitudes of the CKM matrix elements, as well as the solar and atmospheric neutrino data. We stress bi-maximal vacuum neutrino mixings, and indicate how the small or large mixing angle MSW solution can be incorporated. The ${\cal U}(1)$ symmetry also implies that $\tau_{p\to K\nu}[SO(10)]\sim (10-100)\cdot \tau_{p\to K\nu}[{\rm minimal}~SU(5)]$.