# SUSY radiative corrections on mu-tau neutrino refraction including possible R-parity breaking interactions

## TL;DR

This study explores one-loop radiative corrections to neutrino refraction indices within supersymmetric models, especially NMSSM, highlighting the impact of R-parity breaking and CP-violation on supernova neutrino fluxes.

## Contribution

It provides a detailed analysis of SUSY parameter space effects on neutrino refraction, emphasizing differences between R-parity conserved and broken scenarios, and links CP-violation to supernova neutrino observations.

## Key findings

- R-parity breaking significantly alters SUSY contributions to neutrino refraction.
- Certain SUSY parameter regions yield notable V_{mu tau} values.
- CP-violation effects are analytically connected to V_{mu tau} in supernova neutrino fluxes.

## Abstract

In this paper we investigate the one-loop radiative corrections to the neutrino indices of refraction from supersymmetric models. We consider the Next-to Minimal Supersymmetric extension of the Standard Model (NMSSM) which happens to be a better supersymmetric candidate than the MSSM for both theoretical and experimental reasons. We scan the relevant SUSY parameters and identify regions in the parameter space which yield interesting values for V_{mu tau}. If R-parity is broken there are significant differences between MSSM and NMSSM contributions contrary to the R-parity conserved case. Finally, for a non-zero CP-violating phase, we show analytically that the presence of V_{mu tau} will explicitly imply CP-violation effects on the supernova electron (anti-) neutrino fluxes.