Pathways to proton's stability via naturally small neutrino masses

TL;DR

This paper explores the theoretical link between small neutrino masses and proton stability, proposing models where their smallness and longevity are interconnected, supported by detailed UV realizations and analysis.

Contribution

It introduces new theoretical schemes connecting neutrino mass smallness with proton stability, including UV completions and detailed comparative analysis.

Findings

Small neutrino masses imply a long-lived proton.

Proton decay width's smallness explains neutrino mass scale.

Multiple schemes with UV realizations demonstrate the connection.

Abstract

In the present work, the connection between the smallness of the neutrino masses and the stability of the proton is studied. We analyze this connection from different perspectives: the smallness of neutrino mass and the proton stability originate from the same source, small neutrino masses lead to a long lived proton, and the smallness of the proton decay width as a cause of the naturally small neutrino masses. All the schemes are studied in detail and UV realizations are given. We discuss advantages of each scheme and outline further investigation directions.