Revisiting No-Scale Supergravity Inspired Scenarios: Updated Theoretical and Phenomenological Constraints

We consider no-scale inspired supergravity scenarios, where the gravitino mass and related soft supersymmetry-breaking parameters are determined dynamically by radiative corrections to an essentially flat tree-level potential in the supersymmetry breaking hidden sector. We examine the theoretical and phenomenological viability of such a mechanism, when including up-to-date calculations of the low energy sparticle spectrum and taking into account the latest LHC results and other experimental constraints. We (re)emphasize the role of the scale-dependent vacuum energy contribution to the effective potential, in obtaining realistic no-scale electroweak minima, examining carefully the impact of boundary conditions and of variants of the minimization procedure. We also discuss and implement the B_0 (soft breaking Higgs mixing parameter) input boundary condition at high scale, therefore fixing tan beta(B_0) at low scales. For general high scale boundary conditions with non-vanishing B_0, m_0..., our analysis provides theoretical correlations among the supersymmetric, soft and vacuum energy parameters and related phenomenological consequences at the LHC. For instance, a zero vacuum energy at the GUT scale would lead to a decoupled supersymmetric spectrum, together with a light standard model-like Higgs boson at the electroweak scale. Given the experimental exclusion limits, a substantial class of the boundary conditions, and in particular the strict no-scale with m_0=A_0=B_0=0, are only compatible with a stau being the lightest MSSM particle. Then an enlarged allowed parameter space emerges when assuming a gravitino LSP to account for the observed dark matter relic density.