Realising effective theories of tribrid inflation: Are there effects from messenger fields?

TL;DR

This paper examines how messenger fields in tribrid inflation models can affect inflation predictions, especially when inflaton field values exceed messenger mass scales, and identifies conditions where effective theories remain valid.

Contribution

It analyzes the impact of messenger fields on tribrid inflation models and provides criteria for when effective theories can reliably predict inflation observables.

Findings

Messenger fields can influence inflation predictions when inflaton exceeds messenger mass.

Conditions are identified under which messenger effects can be neglected without losing accuracy.

Effective theories remain valid under specific model constructions despite high inflaton field values.

Abstract

Tribrid inflation is a variant of supersymmetric hybrid inflation in which the inflaton is a matter field (which can be charged under gauge symmetries) and inflation ends by a GUT-scale phase transition of a waterfall field. These features make tribrid inflation a promising framework for realising inflation with particularly close connections to particle physics. Superpotentials of tribrid inflation involve effective operators suppressed by some cutoff scale, which is often taken as the Planck scale. However, these operators may also be generated by integrating out messenger superfields with masses below the Planck scale, which is in fact quite common in GUT and/or flavour models. The values of the inflaton field during inflation can then lie above this mass scale, which means that for reliably calculating the model predictions one has to go beyond the effective theory description. We therefore discuss realisations of effective theories of tribrid inflation and specify in which cases effects from the messenger fields are expected, and under which conditions they can safely be neglected. In particular, we point out how to construct realisations where, despite the fact that the inflaton field values are above the messenger mass scale, the predictions for the observables are (to a good approximation) identical to the ones calculated in the effective theory treatment where the messenger mass scale is identified with the (apparent) cutoff scale.