# High-scale Supersymmetry, the Higgs Mass and Gauge Unification

## TL;DR

This paper explores how high-scale supersymmetry can be compatible with the Higgs mass and gauge unification, emphasizing the role of non-degeneracy factors and threshold corrections, and highlighting the importance of precise top quark measurements.

## Contribution

It analyzes the conditions under which high-scale supersymmetry remains consistent with experimental constraints and gauge unification, introducing non-degeneracy factors and threshold corrections as key elements.

## Key findings

- Superpartner masses can be arbitrarily high with suitable parameters.
- Large threshold corrections are viable at the unification scale.
- Compatibility is highly sensitive to the top quark Yukawa coupling.

## Abstract

Suppressing naturalness concerns, we discuss the compatibility requirements of high-scale supersymmetry breaking with the Higgs boson mass constraint and gauge coupling unification. We find that to accommodate superpartner masses significantly greater than the electroweak scale, one must introduce large non-degeneracy factors. These factors are enumerated, and implications for the allowed forms of supersymmetry breaking are discussed. We find that superpartner masses of arbitrarily high values are allowed for suitable values of $\tan\beta$ and the non-degeneracy factors. We also compute the large, but viable, threshold corrections that would be necessary at the unification scale for exact gauge coupling unification. Whether or not high-scale supersymmetry can be realised in this context is highly sensitive to the precise value of the top quark Yukawa coupling, highlighting the importance of future improvements in the top quark mass measurement.