Unified model of fermion masses with Wilson line flavor symmetry breaking

TL;DR

This paper proposes a supersymmetric SU(5) GUT model with Wilson line-induced flavor symmetry breaking in higher dimensions, successfully explaining fermion mass hierarchies and neutrino mixing consistent with current data.

Contribution

It introduces a novel flavor symmetry breaking mechanism via Wilson lines in a 4+3 dimensional setup, avoiding vacuum alignment issues and accurately predicting fermion mixing patterns.

Findings

Predicts hierarchical charged fermion masses and quark mixing angles.

Achieves maximal atmospheric neutrino mixing at leading order.

Matches current neutrino oscillation data with testable predictions.

Abstract

We present a supersymmetric SU(5) GUT model with a discrete non-Abelian flavor symmetry that is broken by Wilson lines. The model is formulated in 4+3 dimensions compactified on a manifold S^3/Z_n. Symmetry breaking by Wilson lines is topological and allows to realize the necessary flavor symmetry breaking without a vacuum alignment mechanism. The model predicts the hierarchical pattern of charged fermion masses and quark mixing angles. Small normal hierarchical neutrino masses are generated by the type-I seesaw mechanism. The non-Abelian flavor symmetry predicts to leading order exact maximal atmospheric mixing while the solar angle emerges from a variant of quark-lepton complementarity. As a consequence, the resulting leptonic mixing matrix is in excellent agreement with current data and could be tested in future neutrino oscillation experiments.