One-loop Corrected Neutrino Masses and Mixing in the Supersymmetric Standard Model without R-parity

TL;DR

This paper analyzes how one-loop corrections in R-parity violating supersymmetric models affect neutrino masses and mixing, showing that these corrections are crucial for accurately fitting neutrino oscillation data.

Contribution

It provides a comprehensive one-loop analysis of neutrino masses and mixing in the R-parity violating supersymmetric standard model, including sneutrino minimization and effective neutrino mass matrix calculation.

Findings

One-loop corrections significantly impact neutrino mass and mixing predictions.

The model can simultaneously accommodate atmospheric and solar neutrino oscillations.

Gauge mediated supersymmetry breaking scenarios are compatible with observed neutrino phenomena.

Abstract

We provide, in the R-parity violating supersymmetric standard model, a comprehensive analysis for sneutrino minimization from the one-loop effective scalar potential, and also for one-loop renormalized neutrino masses and mixing by calculating the effective neutrino mass matrix in the weak basis. Applying our results to theories with gauge mediated supersymmetry breaking, we show how atmospheric and solar neutrino oscillations can be accommodated simultaneously in this framework. It is observed that the one-loop correction to sneutrino vacuum expectation values leads to a significant effect on the determination of the neutrino masses and mixing.