LAUSR

A bstractWe propose a supersymmetric extension of the Standard Model (SM) with a continuous global U(1)R symmetry. The R-charges of the SM fields are identified with that of their lepton numbers. As a result, both bilinear and trilinear ‘R-parity violating’ (RPV) terms could be present at the superpotential. However, R-symmetry is not an exact symmetry as it is broken by supergravity effects. Hence, sneutrinos acquire a small vacuum expectation value in this framework. However, a suitable choice of basis ensures that the bilinear RPV terms can be completely rotated away from the superpotential and the scalar potential. On the other hand, the trilinear terms play a very crucial role in generating neutrino masses and mixing at the tree level. This is noticeably different from the typical R-parity violating Minimal Supersymmetric Standard Model. Also, gravitino mass turns out to be the order parameter of R-breaking and is directly related to the neutrino mass. We show that such a gravitino, within the mass range 200 keV ≲ m3/2 ≲ 0.1 GeV can be an excellent dark matter candidate. Finally, we looked into the collider implications of our framework.