Neutrino masses in lepton number violating mSUGRA

TL;DR

This paper investigates how lepton number violating operators in SUSY models, specifically in mSUGRA, can generate neutrino masses compatible with oscillation data, considering renormalization effects and parameter arrangements.

Contribution

It provides a numerical analysis of parameter configurations in mSUGRA with LNV operators to match neutrino oscillation observations, highlighting the role of renormalization group flow.

Findings

Neutrino mass hierarchy can be achieved with specific LNV parameter choices.

Renormalization group effects significantly influence neutrino mass spectrum.

Compatibility with oscillation data constrains LNV operator strengths and mixing angles.

Abstract

In SUSY models which violate R-parity, there exist trilinear lepton number violating (LNV) operators which can lead to neutrino masses. If these operators are defined at the unification scale, the renormalization group flow becomes important and generally leads to one neutrino mass much heavier than the others. We study, in a minimal supergravity (mSUGRA) set-up with two trilinear LNV operators and three charged lepton mixing angles, numerically how these parameters may be arranged to be compatible with neutrino oscillation data, and discuss some phenomenological observations.