R-parity violation in a warped GUT scale Randall-Sundrum framework

Abstract

We consider a modified Randall-Sundrum (RS) framework between the Planck scale and the grand unified theory (GUT) scale. In this scenario, RS works as a theory of flavor and not as a solution to the hierarchy problem. The latter is resolved by supersymmetrizing the bulk, so that the minimal supersymmetric standard model is the effective four-dimensional theory. Matter fields are localized in the bulk in order to fit fermion-mass and mixing data. If $R$-parity violating (${\overline{)R}}_{p}$) terms are allowed in the superpotential, their orders of magnitude throughout flavor space are then predicted, resulting in rich flavor textures. If the ${\overline{)R}}_{p}$ contributions to neutrino masses are somewhat suppressed, then lepton-number violating models exist which explain the neutrino oscillation data while not being in contradiction with current experimental bounds. Another promising model is one where baryon number is violated and Dirac neutrino masses result solely from fermion localization. We sketch the likely discovery signatures of the baryon-number and the lepton-number violating cases.