Quark Yukawa pattern from spontaneous breaking of flavour $SU(3)^3$

TL;DR

This paper proposes a model where spontaneous breaking of a flavor symmetry explains the pattern of quark masses and mixing angles without hierarchical parameters, using an invariant scalar potential.

Contribution

It introduces a flavor symmetry breaking mechanism via an invariant scalar potential that reproduces quark mass hierarchies and mixing angles dynamically.

Findings

Reproduces quark mass hierarchies and mixing angles

Achieves approximate flavor alignment dynamically

Eliminates need for hierarchical parameters

Abstract

A $SU(3)_Q \times SU(3)_u \times SU(3)_d$ invariant scalar potential breaking spontaneously the quark flavour symmetry can explain the standard model flavour puzzle. The approximate alignment in flavour space of the vacuum expectation values of the up and down `Yukawa fields' results as a dynamical effect. The observed quark mixing angles, the weak CP violating phase, and hierarchical quark masses can be all reproduced at the cost of introducing additional (auxiliary) scalar multiplets, but without the need of introducing hierarchical parameters.