Realisability of SUSY discrete flavour symmetry in our universe

TL;DR

This paper investigates the challenges of implementing supersymmetric discrete flavour symmetry models in our universe's thermal history, highlighting the dominance of pseudo moduli flavons and proposing extensions to achieve consistency and thermal inflation.

Contribution

It analyzes the evolution of pseudo moduli flavons with finite temperature effects and proposes extensions to reconcile flavour symmetry models with cosmological thermal history.

Findings

Pseudo moduli flavon dominates the universe's energy density.

Flavour symmetry models face difficulties due to flavon domination.

Extensions can enable thermal inflation driven by flavon domination.

Abstract

We study the realisation of supersymmetric discrete flavour symmetry models to the thermal history of our universe. We focus on the evolution of the pseudo moduli field among the flavons by taking into account finite temperature corrections. We show that the pseudo moduli flavon dominates the energy density of our universe and this domination makes crucially difficult to realise the flavour symmetry models in our universe. We also discuss possible extensions of the supersymmetric discrete flavour symmetry models which can ensure the consistency of the models with the thermal history of our universe. Finally, we show an extension to realise the thermal inflation by the flavon domination.