Doubly Lopsided Mass Matrices from Supersymmetric SU(N) Unification

TL;DR

This paper demonstrates that supersymmetric SU(N) models with N>5 naturally produce doubly lopsided mass matrices, explaining flavor hierarchies without additional flavor symmetries, through symmetry breaking scales.

Contribution

It introduces a mechanism where doubly lopsided mass matrices arise naturally in supersymmetric SU(N) models without extra flavor symmetries.

Findings

Doubly lopsided mass matrices can emerge in supersymmetric SU(N) models with N>5.

The flavor structure is explained by gauge symmetry and supersymmetry alone.

Hierarchy of fermion families results from symmetry breaking scales.

Abstract

It is shown that in supersymmetric SU(N) models with N>5 the so-called doubly lopsided mass matrix structure can emerge in a natural way. The non-trivial flavor structure is entirely accounted for by the SU(N) gauge symmetry and supersymmetry, without any flavor symmetry. The hierarchy among the families results directly from a hierarchy of scales in the chain of breaking from SU(N)to the Standard Model group. A simple SU(7) example is presented.