Matter inflation with A_4 flavour symmetry breaking

TL;DR

This paper presents a model of matter inflation within supersymmetric particle physics, utilizing A_4 flavor symmetry breaking, linking cosmological inflation with neutrino physics and avoiding topological defects.

Contribution

It introduces a general framework for implementing tribrid inflation in realistic particle physics models with A_4 flavor symmetry, connecting inflationary parameters with neutrino physics.

Findings

Predicts a relation between neutrino Yukawa coupling and spectral index running.

Demonstrates automatic avoidance of topological defects from flavor symmetry breaking.

Provides a phenomenologically viable and predictive inflationary model.

Abstract

We discuss model building in tribrid inflation, which is a framework for realising inflation in the matter sector of supersymmetric particle physics models. The inflaton is a D-flat combination of matter fields, and inflation ends by a phase transition in which some Higgs field obtains a vacuum expectation value. We first describe the general procedure for implementing tribrid inflation in realistic models of particle physics that can be applied to a wide variety of BSM particle physics models around the GUT scale. We then demonstrate how the procedure works for an explicit lepton flavour model based on an A_4 family symmetry. The model is both predictive and phenomenologically viable, and illustrates how tribrid inflation connects cosmological and particle physics parameters. In particular, it predicts a relation between the neutrino Yukawa coupling and the running of the spectral index alpha_s. We also show how topological defects from the flavour symmetry breaking can be avoided automatically.