Constraints on a general 3-generation neutrino mass matrix from neutrino data: application to the MSSM with R-parity violation

TL;DR

This paper derives constraints on a general 3x3 neutrino mass matrix from experimental neutrino data and applies these to the MSSM with R-parity violation to bound related couplings.

Contribution

It provides a systematic analysis of neutrino mass matrix constraints and applies them to limit R-parity violating couplings in the MSSM.

Findings

Allowed ranges for neutrino mass matrix elements identified.

Bounds on R-parity violating couplings established.

Constraints consistent with current neutrino and cosmological data.

Abstract

We consider a general symmetric $(3\times 3)$ mass matrix for three generations of neutrinos. Imposing the constraints, from the atmospheric neutrino and solar neutrino anomalies as well as from the CHOOZ experiment, on the mass squared differences and on the mixing angles, we identify the ranges of allowed inputs for the 6 matrix elements. We apply our results to Majorana left-handed neutrino masses generated at tree level and through fermion--sfermion loop diagrams in the MSSM with R-parity violation. The present experimental results on neutrinos from laboratories, cosmology and astrophysics are implemented to either put bounds on trilinear ($\lambda_{ijk}, \lambda'_{ijk}$) and bilinear ($\mu_{e,\mu,\tau}$) R-parity-violating couplings or constrain combinations of products of these couplings.