Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements

TL;DR

This paper analyzes the predicted Higgs mass ranges in High-Scale and Split Supersymmetry models, incorporating advanced calculations, and uses recent LHC data to constrain the supersymmetry breaking scale, especially for Split Supersymmetry.

Contribution

It provides the first complete next-to-leading order corrections for Split Supersymmetry Higgs mass predictions and links experimental Higgs mass bounds to supersymmetry breaking scales.

Findings

Higgs mass predictions are refined with two-loop RGEs and threshold effects.

An upper Higgs mass bound of 127 GeV constrains Split Supersymmetry scale to about 10^8 GeV.

No definitive bounds established for High-Scale Supersymmetry yet.

Abstract

We study the range of Higgs masses predicted by High-Scale Supersymmetry and by Split Supersymmetry, using the matching condition for the Higgs quartic coupling determined by the minimal field content. In the case of Split Supersymmetry, we compute for the first time the complete next-to-leading order corrections, including two-loop renormalization group equations and one loop threshold effects. These corrections reduce the predicted Higgs mass by a few GeV. We investigate the impact of the recent LHC Higgs searches on the scale of supersymmetry breaking. In particular, we show that an upper bound of 127 GeV on the Higgs mass implies an upper bound on the scale of Split Supersymmetry of about 10^8 GeV, while no firm conclusion can yet be drawn for High-Scale Supersymmetry.