Predicting the Seesaw Scale in a Minimal Bottom-Up Extension of MSSM

Abstract

We analyze a minimal bottom-up seesaw scenario where we require the theory to satisfy three phenomenological conditions: (i)it is supersymmetric; (ii) it has a local B-L symmetry as part of the SU(2)_L x SU(2)_R x U(1)_{B-L} gauge theory to implement the seesaw mechanism and (iii) B-L symmetry breaking is such that it leaves R-parity unbroken giving a naturally stable dark matter. We show that in such a theory, one can predict the seesaw scale for neutrino masses to be M_R ~ \sqrt{M_{SUSY} M_{Pl}} ~ 10^{11} GeV. We show that the ground state with this property is a stable minimum and is lower than possible electric charge violating minimum in this theory. Such models in their generic version are known to predict the existence of a light doubly charged Higgs boson and Higgsino which can be searched for in collider experiments. We give expressions for their masses in this minimal version. We then indicate how one can get different expectation values for the MSSM Higgs doublets in the theory required to have realistic quark masses.