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

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 μνSSMμνSSM 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 DR¯ calculations. Both models predict correlations between neutrino mixing angles and ratios of R  -parity violating decays such as χ˜10→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 χ˜10→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.