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

Abstract

© 2016 American Physical Society. 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 (Rp) terms are allowed in the superpotential, their orders of magnitude throughout flavor space are then predicted, resulting in rich flavor textures. If the Rp 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.This work was partially supported by STFC grant ST/L000385/1. BCA was adjunct faculty in DTP TIFR during December 2014 and would like to thank the department for the hospitality extended during the early stages of this work and the Cambridge SUSY Working Group for helpful suggestions. BCA, AI and KS would like to thank Sudhir Vempati for the motivation and useful discussions. AI and KS also thank the organisers at WHEPP 2013 for the hospitality where the idea was conceived. AI and KS would also like to thank the CERN theory division for hospitality where part of the work was completed. AI would like to thank Tuhin Roy for discussions on contribution to renormalization of soft masses due to hidden sector effects