One-loop corrected neutrino masses and mixing in the supersymmetric standard model without R parity

We provide, in the R-parity violating supersymmetric standard model, a comprehensive analysis for the determination of sneutrino vacuum expectation values 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.