Flat Directions and Leptogenesis in a "New" $\mu \nu$SSM

TL;DR

This paper reviews the $mbda$SSM and proposes a generalized version that includes new terms for mixing leptons, gauginos, and higgsinos, which may have implications for cosmology and leptogenesis.

Contribution

It introduces a novel generalization of the $mbda$SSM with additional superpotential terms that enable lepton-gaugino-higgsino mixing while preserving mass spectra.

Findings

Displays flat directions in the superpotential.

Provides a viable leptogenesis mechanism.

Potential cosmological applications.

Abstract

In this paper, we give a brief review of the Minimal Supersymmetric Standard Model (MSSM) and "$\mu$ from $\nu$" Supersymmetric Standard Model ($\mu \nu$SSM). Then we propose a generalization of $\mu \nu$SSM in order to explain the recent ATLAS, CMS and LHCb results. This "new" $\mu \nu$SSM generalizes the superpotential $W_{suppot}$ of $\mu \nu$SSM by including two terms that generate a mixing among leptons, gauginos and higgsinos while keeping the charginos and neutralinos masses unchanged. Also, it is potentially interesting for cosmological applications as it displays flat directions of the superpotential and a viable leptogenesis mechanism.