The $R$-parity Violating Decays of Charginos and Neutralinos in the B-L MSSM

TL;DR

This paper investigates the R-parity violating decays of charginos and neutralinos within the B-L MSSM, analyzing decay channels, calculating interaction vertices, and exploring the implications for various LSP scenarios.

Contribution

It provides the first analytical calculation of RPV decay channels and rates for charginos and neutralinos in the B-L MSSM, applicable to all mass eigenstates regardless of LSP status.

Findings

Chargino and neutralino LSPs are among the most prevalent in the model.

Decay channels and rates are analytically derived for all charginos and neutralinos.

The model satisfies current phenomenological constraints for a wide range of parameters.

Abstract

The $B-L$ MSSM is the MSSM with three right-handed neutrino chiral multiplets and gauged $B-L$ symmetry. The $B-L$ symmetry is broken by the third family right-handed sneutrino acquiring a VEV, thus spontaneously breaking $R$-parity. Within a natural range of soft supersymmetry breaking parameters, it is shown that a large and uncorrelated number of initial values satisfy all present phenomenological constraints; including the correct masses for the $W^{\pm}$, $Z^0$ bosons, having all sparticles exceeding their present lower bounds and giving the experimentally measured value for the Higgs boson. For this "valid" set of initial values, there are a number of different LSPs, each occurring a calculable number of times. We plot this statistically and determine that among the most prevalent LSPs are chargino and neutralino mass eigenstates. In this paper, the $R$-parity violating decay channels of charginos and neutralinos to standard model particles are determined, and the interaction vertices and decay rates computed analytically. These results are valid for any chargino and neutralino, regardless of whether or not they are the LSP. For chargino and neutralino LSPs, we will-- in a subsequent series of papers --present a numerical study of their RPV decays evaluated statistically over the range of associated valid initial points.