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The matter spectrum of the MSSM, including three right-handed neutrinosupermultiplets and one pair of Higgs-Higgs conjugate superfields, can beobtained by compactifying the E_{8} x E_{8} heterotic string and M-theory onCalabi-Yau manifolds with specific SU(4) vector bundles. These theories havethe standard model gauge group augmented by an additional gauged U(1)_{B-L}.Their minimal content requires that the B-L gauge symmetry be spontaneouslybroken by a vacuum expectation value of at least one right-handed sneutrino. Inprevious papers, we presented the results of a quasi-analytic renormalizationgroup analysis showing that B-L gauge symmetry is indeed radiatively brokenwith an appropriate B-L/electroweak hierarchy. In this paper, we extend theseresults by 1) enlarging the initial parameter space and 2) explicitlycalculating all renormalization group equations numerically, withoutapproximation. The regions of the initial parameter space leading to realisticvacua are presented and the B-L/electroweak hierarchy computed over theseregimes. At representative points, the mass spectrum for all sparticles andHiggs fields is calculated and shown to be consistent with present experimentalbounds. Some fundamental phenomenological signatures of a non-zero right-handedsneutrino expectation value are discussed, particularly the cosmology andproton lifetime arising from induced lepton and baryon number violatinginteractions.

The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic Compactifications