Freedom in electroweak symmetry breaking and mass matrix of fermions in dimensional deconstruction model

TL;DR

This paper explores a class of four-dimensional electroweak theories based on deconstruction, revealing a freedom related to winding modes that can dynamically break symmetry and generate fermion mass hierarchies.

Contribution

It introduces a novel freedom in deconstructed electroweak models through winding modes, enabling dynamical symmetry breaking and realistic fermion mass patterns.

Findings

Winding modes of link variables enable symmetry breaking.

Fermion mass hierarchies can be generated dynamically.

CKM matrix patterns can be reproduced.

Abstract

There exists a freedom in a class of four-dimensional electroweak theories proposed by Arkani-Hamed et al. relying on deconstruction and Coleman-Weinberg mechanism. The freedom comes from the winding modes of the link variable (Wilson operator) connecting non-nearest neighbours in the discrete fifth dimension. Using this freedom, dynamical breaking of SU(2) gauge symmetry, mass hierarchy patterns of fermions and Cabbibo-Kobayashi-Maskawa matrix may be obtained.