Natural Supersymmetry and Unification in Five Dimensions

TL;DR

This paper investigates a five-dimensional extension of the standard model that achieves unification and natural supersymmetry, predicting a gluino mass below 3.5 TeV and accommodating a 125 GeV Higgs with stop masses under 2 TeV.

Contribution

It provides the full one-loop RGEs for such models and analyzes the implications of extra dimensions on supersymmetry breaking and particle spectra.

Findings

Gluino mass should be lighter than 3.5 TeV for certain parameters.

TeV scale A-term enables a 125 GeV Higgs with natural stop masses.

Models with bulk 1st and 2nd generation matter are likely ruled out.

Abstract

We explore unification and natural supersymmetry in a five dimensional extension of the standard model in which the extra dimension may be large, of the order of 1-10 TeV. Power law running generates a TeV scale A_ term allowing for the observed 125 GeV Higgs and allowing for stop masses below 2 TeV, compatible with a natural SUSY spectrum. We supply the full one-loop RGEs for various models and use metastability to give a prediction that the gluino mass should be lighter than 3.5 TeV for A_t <= 2.5 TeV, for such a compactification scale, with brane localised 3rd generation matter. We discuss why models in which the 1st and 2nd generation of matter fields are located in the bulk are likely to be ruled out. We also look at electroweak symmetry breaking in these models.