The Higgs Mass as a Signature of Heavy SUSY

TL;DR

This paper calculates the Higgs mass in a high-scale SUSY breaking scenario, suggesting the observed Higgs mass supports SUSY existence at a high energy scale, even if not directly detectable.

Contribution

It provides a method to relate the Higgs mass to the SUSY breaking scale, extending the implications of SUSY to very high energies beyond current experimental reach.

Findings

Higgs mass of 126 ± 3 GeV for SUSY scale > 10^{10} GeV

Higgs mass approaches MSSM predictions at lower SUSY scales

Supports Higgs mass as indirect evidence for high-scale SUSY

Abstract

We compute the mass of the Higgs particle in a scheme in which SUSY is broken at a large scale M_{SS} well above the electroweak scale M_{EW}. Below M_{SS} one assumes one is just left with the SM with a fine-tuned Higgs potential. Under standard unification assumptions one can compute the mass of the Higgs particle as a function of the SUSY breaking scale M_{SS}. For M_{SS} > 10^{10} GeV one obtains m_H=126 \pm 3 GeV, consistent with CMS and ATLAS results. For lower values of M_{SS} the values of the Higgs mass tend to those of a fine-tuned MSSM with m_H < 130 GeV. These results support the idea that the measured value of the Higgs mass at LHC may be considered as indirect evidence for the existence of SUSY at some (not necessarily low) mass scale.