Probing intermediate scale Froggatt-Nielsen models at future gravitational wave observatories

TL;DR

This paper investigates how intermediate scale Froggatt-Nielsen models can produce detectable gravitational wave signals from strong first order phase transitions, offering a new way to probe flavor symmetry breaking in future observatories.

Contribution

The authors construct two minimal UV-complete Froggatt-Nielsen models and analyze their gravitational wave signatures from phase transitions at intermediate scales.

Findings

Detectable gravitational wave backgrounds are possible for flavor symmetry-breaking scales of 10^4-10^7 GeV.

Certain parameter regions yield strong first order phase transitions producing observable GWs.

GW signatures alone cannot distinguish between the two proposed models.

Abstract

The flavor symmetry-breaking scale in the Froggatt-Nielsen (FN) mechanism is very weakly constrained by present experiments, and can lie anywhere from a few TeV to the Planck scale. We construct two minimal, non-supersymmetric, ultraviolet (UV) complete models that generate the FN mechanism, with a global $U(1)_{\rm{FN}}$ flavor symmetry and a single flavon field. Using the one-loop finite temperature effective potential, we explore the possibility of a strong first order phase transition (SFOPT) induced by the flavon. We show that if the flavor symmetry-breaking occurs at intermediate scales $\sim 10^4-10^7$ GeV, then in certain regions of the parameter space, the associated stochastic gravitational wave (GW) background is strong enough to be detected by second generation GW observatories such as the Big Bang Observer (BBO), the Deci-hertz interferometer Gravitational Observatory (DECIGO), the Cosmic Explorer (CE) and the Einstein Telescope (ET). We identify viable regions of the parameter space for the best detection prospects. While both models of flavor can produce a detectable GW background, the GW signature cannot be used to discriminate between them.