Supersymmetry after the Higgs

TL;DR

The discovery of a 126 GeV Higgs boson suggests a high SUSY scale in SUGRA GUT models, impacting vacuum stability, flavor physics, and dark matter searches, with implications for LHC discoveries.

Contribution

This paper reviews the implications of a 126 GeV Higgs for supersymmetry, highlighting the high SUSY scale and its effects on model constraints and experimental searches.

Findings

SUSY scale in the several TeV range due to Higgs mass

Light gauginos and sleptons remain accessible at LHC

Implications for dark matter detection and sparticle hierarchies

Abstract

A brief review is given of the implications of a 126 GeV Higgs boson for the discovery of supersymmetry. Thus a 126 GeV Higgs boson is problematic within the Standard Model because of vacuum instability pointing to new physics beyond the Standard Model. The problem of vacuum stability is overcome in the SUGRA GUT model but the 126 GeV Higgs mass implies that the average SUSY scale lies in the several TeV region. The largeness of the SUSY scale relieves the tension on SUGRA models since it helps suppress flavor changing neutral currents and CP violating effects and also helps in extending the proton life time arising from baryon and lepton number violating dimension five operators. The geometry of radiative breaking of the electroweak symmetry and fine tuning in view of the large SUSY scale are analyzed.Consistency with the Brookhaven $g_{\mu}-2$ result is discussed. It is also shown that a large SUSY scale implied by the 126 GeV Higgs boson mass allows for light gauginos (gluino, charginos, neutralinos) and sleptons. These along with the lighter third generation squarks are the prime candidates for discovery at RUN II of the LHC. Implication of the 126 GeV Higgs boson for the direct search for dark matter is discussed. Also discussed are the sparticles mass hierarchies and their relationship with the simplified models under the Higgs boson mass constraint.