Doubly Lopsided Mass Matrices from Unitary Unification

TL;DR

This paper demonstrates that the 'doubly lopsided' mass matrix structure, which explains quark and lepton masses and mixings, can naturally emerge from SU(N) grand unification models, exemplified by an SU(8) case.

Contribution

It introduces a natural origin for the doubly lopsided mass matrices within SU(N) grand unification without requiring additional flavor symmetries.

Findings

Constructed an SU(8) model with three families and anomaly cancellation.

Achieved realistic flavor structure without extra flavor symmetry.

Showed the mass matrix pattern arises naturally in the unification framework.

Abstract

It is shown that the stratified or "doubly lopsided" mass matrix structure that is known to reproduce well the qualitative features of the quark and lepton masses and mixings can arise quite naturally in the context of grand unification based on the groups SU(N) with N > 5. An SU(8) example is constructed with the minimal anomaly-free, three-family set of fermions, in which a realistic flavor structure results without flavor symmetry.