# Higgsino Dark Matter in an economical Scherk-Schwarz setup

## TL;DR

This paper proposes a minimal supersymmetric model with a Higgsino dark matter candidate, based on an extra-dimensional Scherk-Schwarz mechanism, predicting specific superpartner mass ranges and promising detection prospects at future experiments.

## Contribution

It introduces a minimal, viable supersymmetric model with all Standard Model fields in the bulk, fixing parameters to match Higgsino dark matter and experimental constraints without extra matter or gauge groups.

## Key findings

- Higgsino mass set to 1.1-1.2 TeV for dark matter viability
- Predicted gluino mass range 2.0-2.1 TeV
- Electroweakinos and sleptons near 1.7-1.9 TeV

## Abstract

We consider a minimal natural supersymmetric model based on an extra dimension with supersymmetry breaking provided by the Scherk-Schwarz mechanism. The lightest supersymmetric particle is a neutral, quasi-Dirac Higgsino and, unlike in previous studies, we assume that all Standard Model fields are propagating in the bulk. The resulting setup is minimal, as neither extra matter, effective operators, nor extra $U(1)$ groups are needed in order to be viable. The model has three free parameters which are fixed by the Higgsino mass -- set to the range 1.1-1.2 TeV so it can play the role of Dark Matter, and by the requirements of correct electroweak breaking and the mass of the Higgs. After imposing the previous conditions we find a benchmark scenario that passes all experimental constrains with an allowed range for the supersymmetric parameters. In particular we have found gluinos in the range 2.0-2.1 TeV mass, electroweakinos and sleptons almost degenerate in the range 1.7-1.9 TeV and squarks degenerate in the range 1.9-2.0 TeV. The best discovery prospects are: i.) gluino detection at the high luminosity LHC ($\gtrsim 3\, \text{ab}^{-1}$), and ii.) Higgsino detection at next-generation dark matter direct detection experiments. The model is natural, as the fine-tuning for the fixed values of the parameters is moderate mainly because supersymmetry breaking parameters contribute linearly to the Higgs mass parameter, rather than quadratically as in most models.