On-shell renormalization of neutralino and chargino mass matrices in R-parity violating models - Correlation between LSP decays and neutrino mixing angles revisited

TL;DR

This paper develops an on-shell renormalization scheme for neutralino and chargino masses in R-parity violating models, linking neutrino properties with collider decay signatures, and discusses the importance of NLO corrections for accurate predictions.

Contribution

It introduces a new on-shell renormalization scheme for neutralino and chargino masses in R-parity violating models, improving the accuracy of neutrino and decay predictions.

Findings

Correlations between neutrino mixing angles and R-parity violating decay ratios.

Importance of including NLO corrections for reliable decay predictions.

Implementation of decay calculations in the CNNDecays software.

Abstract

We present an on-shell renormalization scheme for the neutralino and chargino mass matrices for two R-parity violating models, namely bilinear R-parity violation and the munuSSM with one right-handed neutrino superfield. We discuss in both models how to obtain neutrino masses and mixing angles correctly as well as differences to the existing DRbar calculations. Both models predict correlations between neutrino mixing angles and ratios of R-parity violating decays such as neutralino_1 -> l W which can be tested for example at the LHC. We point out that there are cases where one has to include the complete NLO corrections for the decays neutralino_1 -> l W to predict reliably the correlations between neutrino- and collider-physics. Moreover, we discuss briefly the implementation of these decays in the public program CNNDecays.