The Minimally Tuned Minimal Supersymmetric Standard Model

TL;DR

This paper explores regions of the Minimal Supersymmetric Standard Model that require minimal fine-tuning for electroweak symmetry breaking, revealing distinctive superpartner spectra and the impact of Higgs mass on tuning.

Contribution

It presents a comprehensive analysis of minimally tuned regions in the MSSM without assuming specific relations among soft parameters, considering general messenger scales.

Findings

Superpartner spectra with large stop mixing and negative squark soft masses identified.

Minimal tuning increases significantly for Higgs masses above approximately 120 GeV.

Fine-tuning minimized across all relevant parameters affecting electroweak symmetry breaking.

Abstract

The regions in the Minimal Supersymmetric Standard Model with the minimal amount of fine-tuning of electroweak symmetry breaking are presented for general messenger scale. No a priori relations among the soft supersymmetry breaking parameters are assumed and fine-tuning is minimized with respect to all the important parameters which affect electroweak symmetry breaking. The superpartner spectra in the minimally tuned region of parameter space are quite distinctive with large stop mixing at the low scale and negative squark soft masses at the high scale. The minimal amount of tuning increases enormously for a Higgs mass beyond roughly 120 GeV.