Scalar particle spectrum in broken fermion family symmetries

TL;DR

This paper investigates the spectrum and potential observability of Higgs-like scalars resulting from the spontaneous breaking of fermion family symmetries, considering different energy scales and supersymmetric versus non-supersymmetric frameworks.

Contribution

It introduces a non-supersymmetric analysis of fermion family symmetry breaking and compares it with previous supersymmetric models, exploring scalar spectra at various energy scales.

Findings

Scalar particles may be observable at accessible energies.

Differences between supersymmetric and non-supersymmetric models are highlighted.

The symmetry breaking scale influences the scalar spectrum.

Abstract

We study the spectrum and possible observability of Higgs-like scalar particles associated with spontaneous breaking at high energies of fermion family symmetries such as $SU(3)_f$ proposed sometime ago by King and Ross. We treat the energy scale at which the symmetry is broken as a variable not necessarily as high as the GUT scale used by King and Ross. We compare and contrast a non-supersymmetric treatment of the fermion family symmetry model introduced here, and the supersymmetric treatment used by King and Ross.