Baryogenesis through leptogenesis in the minimal flipped $SU(5)$ with radiative seesaw

TL;DR

This paper explores how minimal flipped SU(5) models with radiative seesaw mechanisms can account for the universe's baryon asymmetry through leptogenesis, leading to testable predictions on neutrino masses.

Contribution

It demonstrates that imposing baryogenesis constraints on minimal flipped SU(5) models yields testable neutrino mass limits and insights into proton decay and neutrino physics.

Findings

Leptogenesis imposes an upper neutrino mass limit.

Model predicts testable neutrino masses in beta-decay experiments.

Characteristic flavor patterns influence proton decay phenomenology.

Abstract

The minimal flipped $SU(5)$ unification with the right-handed neutrino Majorana mass scale generated as a two-loop effect is arguably one of the most constrained models of perturbative baryon and lepton number violation currently on the market. This is namely due to its very simple scalar sector structure which, subject to perturbativity and non-tachyonicity bounds, leads to the emergence of characteristic flavour patterns providing interesting insights into proton decay phenomenology, neutrino physics etc. In this contribution, we discuss the potential impact of the baryon asymmetry of the Universe as an additional requirement imposed onto the already strongly constrained flavour structure of the model, focusing on thermal leptogenesis as its hypothetical primary source in this framework. Remarkably, this single extra condition leads, among other things, to a very interesting upper limit on the absolute neutrino mass scale which, in turn, renders the model potentially testable in the existing beta-decay experiments such as KATRIN.