Generalized Froggatt-Nielsen Mechanism

TL;DR

This paper introduces a generalized Froggatt-Nielsen mechanism linking GUT symmetry breaking with flavor hierarchy, providing new predictions and applications in SU(5) and SO(10) GUT models.

Contribution

It proposes a universal framework for the Froggatt-Nielsen mechanism involving non-renormalizable operators and applies it to SU(5) and SO(10) GUT models.

Findings

Different predictions from ordinary Froggatt-Nielsen in SU(5)

Realistic fermion mass hierarchies achieved in SU(5) and SO(10)

Universal coefficients improve model consistency

Abstract

In this paper, we propose a Generalized Froggatt-Nielsen mechanism in which non-renormalizable operators involving a GUT group and $U(1)_H$ non-singlet Higgs field are introduced. Thus the GUT gauge symmetry breaking and the generation of hierarchical flavor hierarchy have a common origin in this mechanism. In this Generalized Froggatt-Nielsen mechanism, we propose universality conditions for coefficients corresponding to different contractions in the group productions. We find that the predictions in Generalized Froggatt-Nielsen mechanism for SU(5) GUT is different to that of ordinary Froggatt-Nielsen mechanism. Such Generalized Froggatt-Nielsen mechanism can be used in GUT models when ordinary Froggatt-Nielsen mechanism is no longer available. We study the application of Generalized Froggatt-Nielsen mechanism in SO(10) model. We find that realistic standard model mass hierarchy and mixings can be obtained both in SU(5) and SO(10) GUT models with such Generalized Froggatt-Nielsen mechanism.