Inflation, the mu Problem and Maximal nu_mu-nu_tau Mixing

TL;DR

This paper presents a supersymmetric left-right symmetric model that naturally incorporates hybrid inflation, solves the mu problem, and explains baryon asymmetry through leptogenesis, while achieving maximal nu_mu-nu_tau mixing consistent with neutrino observations.

Contribution

It introduces a novel supersymmetric model that simultaneously addresses inflation, the mu problem, and neutrino mixing within a unified framework.

Findings

Successfully achieves maximal nu_mu-nu_tau mixing compatible with experimental data.

Provides a natural solution to the mu problem within the model.

Demonstrates baryon asymmetry generation via leptogenesis in this context.

Abstract

A supersymmetric model based on a left-right symmetric gauge group, which `naturally' leads to hybrid inflation, is studied. It is shown that the mu problem can be easily solved in this model. The observed baryon asymmetry of the universe is produced via a primordial leptogenesis. For masses of nu_mu, nu_tau from the small angle MSW resolution of the solar neutrino problem and SuperKamiokande, maximal nu_mu-nu_tau mixing can be achieved. The required values of the relevant parameters are, however, quite small.