Radiative Symmetry Breaking in the Supersymmetric Minimal B-L Extended   Standard Model
  The Standard Model (SM) of particle physics is a precise model of electroweak interactions, however there is growing tension between the SM and observations (neutrino oscillations, dark matter, dark energy, baryogenesis, among others). There is no reason to expect the validity of the ad hoc SM to remain intact at energy scales above a few TeV, thus a more fundamental theory will almost certainly be required.   Motivated by these considerations, we investigate a Supersymmetric version of a natural extension of the SM, the $U(1)_{B-L}$ model, that is obtained by gauging the accidental B-L symmetry that exists in the ordinary SM. The Supersymmetric $U(1)_{B-L}$ extended SM can resolve the neutrino mass problem, the dark matter problem, the hierarchy problem, and provides a mechanism for establishing the observed baryon asymmetry of the Universe.   When we include quantum corrections to the Higgs potential of the model, we find that Radiative $B-L$ symmetry breaking occurs through the interplay between large Majorana Yukawa couplings and SUSY breaking masses, and the SM neutrino masses arise through the Type-I seesaw mechanism. We deduce from the form RGEs that $B-L$ will be broken near the TeV scale when the Majorana Yukawa couplings are of order 0.5, leading to TeV scale right-handed neutrinos, which could be accessible at the LHC. We discuss the different vacua of the theory and the viability of a right-handed neutrino dark matter candidate in the R-parity conserving and violating sectors. A new $\mathbb{Z}_{2}$ parity is postulated in the R-parity violating sector in which case the lightest right handed neutrino becomes a viable Dark Matter candidate in addition to the gravitino. 
Zachary Burell
hep-ph