Higgs Bosons in a minimal R-parity conserving left-right supersymmetric model

We revisit the Higgs sector of the left-right supersymmetric model. We study the scalar potential in a version of the model in which the minimum is the charge conserving vacuum state, without R-parity violation or additional non-renormalizable terms in the Lagrangian. We analyze the dependence of the potential and of the Higgs mass spectrum on the various parameters of the model, pinpointing the most sensitive ones. We also show that, contrary to previous expectations, the model can predict light neutral flavor-conserving Higgs bosons, while the flavor-violating ones are heavy, and within the limits from K0-K0bar, D0-D0bar and B0-B0bar mixings. We study variants of the model in which at least one pair of doubly-charged Higgs bosons is light, and show that the parameter space for such Higgs masses and mixings is very restrictive, thus making the model more predictive.