The Minimal SUSY B-L Model: From the Unification Scale to the LHC

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This paper introduces a random statistical scan over the high-energy initial parameter space of the minimal SUSY B-L model--denoted as the B-L MSSM. Each initial set of points is renormalization group evolved to the electroweak scale--being subjected, sequentially, to the requirement of radiative B-L and electroweak symmetry breaking, the present experimental lower bounds on the B-L vector boson and sparticle masses, as well as the lightest neutral Higgs mass of 125 GeV. The subspace of initial parameters that satisfies all such constraints is presented, shown to be robust and to contain a wide range of different configurations of soft supersymmetry breaking masses. The low-energy predictions of each such "valid" point - such as the sparticle mass spectrum and, in particular, the LSP - are computed and then statistically analyzed over the full subspace of valid points. Finally, the amount of fine-tuning required is quantified and compared to the MSSM computed using an identical random scan. The B-L MSSM is shown to generically require less fine-tuning.