Simple models with both baryon and lepton number violation by two units

Abstract

We construct simple renormalizable extensions of the standard model where the leading baryon number violating processes have $\mathrm{\ensuremath{\Delta}}B=\ifmmode\pm\else\textpm\fi{}\mathrm{\ensuremath{\Delta}}L=\ensuremath{-}2$. These models contain additional scalars. The simplest models contain a color singlet and a colored sextet. For such a baryon number violation to be observed in experiments, the scalars cannot be much heavier than a few tera-electron-volts. We find that such models are strongly constrained by LHC physics, LEP physics, and flavor physics.