Matter inflation with A_4 flavour symmetry breaking

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.

26 pages, 4 figures, v2 matches publication in JCAP

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• Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model
• Impact of other scalar fields on oscillons after hilltop inflation
• Hilltop inflation with preinflation from coupling to matter fields
• Non-thermal Leptogenesis after Majoron Hilltop Inflation
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Anomalous Discrete Flavor Symmetry and Domain Wall Problem
• Flavon Stabilization in Models with Discrete Flavor Symmetry
• Supersymmetric Majoron Inflation
• Non-thermal Gravitino Production in Tribrid Inflation
• Discrete Goldstone Bosons
• Novel Flavon Stabilization with Trimaximal Neutrino Mixing
• Realising effective theories of tribrid inflation: Are there effects from messenger fields?
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry