No-Scale Solution to Little Hierarchy

TL;DR

This paper demonstrates that no-scale supergravity can naturally resolve the little hierarchy problem by linking electroweak symmetry breaking to the supersymmetry breaking scale, with testable predictions for collider and dark matter experiments.

Contribution

It introduces a no-scale supergravity model where the electroweak and supersymmetry breaking scales are correlated, addressing the little hierarchy problem.

Findings

Allowed parameter space consistent with experimental constraints

Predicted superpartner masses accessible at the LHC

Model predictions testable by dark matter detection experiments

Abstract

We show that the little hierarchy problem can be solved in the no-scale supergravity framework. In this model the supersymmetry breaking scale is generated when the electroweak symmetry breaking condition is satisfied and therefore, unlike usual supersymmetric models, the correlation between the electroweak symmetry breaking scale and the average stop mass scale can be justified. This correlation solves the little hierarchy puzzle. Using minimal supergravity boundary conditions, we find that the parameter space predicted by no-scale supergravity is allowed by all possible experimental constraints. The predicted values of supersymmetric particle masses are low enough to be very easily accessible at the LHC. This parameter space will also be probed in the upcoming results from the dark matter direct detection experiments.