Explicit soft supersymmetry breaking in the heterotic M-theory B ? L MSSM

A bstract The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of B ? L MSSM theory is reviewed, including a discussion “bundle” constraints that sector SU(4) vector bundle induced from single line must satisfy. Gaugino condensation then introduced within this context, bundles exhibit gaugino are presented. scale computed, singling out one whose associated low enough to be compatible with energy scales available at LHC. corresponding region Kähler moduli space where all satisfied generic form dependent F -terms due superpotential — which spontaneously break N = 1 supersymmetry in presented given explicitly unique scale. moduli-dependent coefficients each scalar field soft breaking terms computed leading low-energy effective Lagrangian matter fields. We show large number points satisfy constraints, these initial conditions renormalization group equations which, energy, lead completely realistic physics satisfying phenomenological constraints. Finally, we substantial also final constraint arising quadratic Higgs-Higgs conjugate term.