Revisiting No-Scale Supergravity Inspired Scenarios

TL;DR

This paper explores no-scale supergravity models where radiative corrections dynamically determine supersymmetry-breaking parameters, analyzing their viability against current experimental constraints and implications for dark matter scenarios.

Contribution

It introduces a novel approach to determining soft SUSY-breaking parameters using scale-dependent vacuum energy and examines the models' phenomenological viability with current data.

Findings

Vacuum energy contributions are crucial for no-scale minima.

Dark matter constraints are relaxed for gravitino LSP.

Models remain viable under current LHC and cosmological constraints.

Abstract

We consider no-scale supergravity inspired scenarios, emphasizing the possible dynamical determination of the soft supersymmetry-breaking parameters as triggered by the radiative corrections that lift an essentially flat tree-level potential in the hidden sector. We (re)emphasize the important role played by the scale-dependent vacuum energy contribution to the effective potential for the occurrence of consistent no-scale minima. The most relevant input parameters are introduced as $B_0$ (the soft breaking mixing Higgs parameter) and $\eta_0$ (the cosmological constant value at high energy) instead of $\mhalf$ and $\tan \beta$, the latter being determined through a (generalized) potential minimization at electroweak scales. We examine the theoretical and phenomenological viability of such a mechanism when confronted with up-to-date calculations of the low energy sparticle spectrum and with present constraints from the LHC and other observables. The tight dark matter relic density constraint for a neutralino LSP scenario can be considerably relaxed for a gravitino LSP scenario possible in this framework.