The Fermi scale as a focus point of high-scale gauge mediation

TL;DR

This paper explores how gauge-mediated supersymmetry breaking can naturally produce a small electroweak scale through a focus point mechanism, with implications for superparticle masses and collider searches.

Contribution

It demonstrates a novel focus point scenario within high-scale gauge mediation that links the Fermi scale to specific GUT-scale mass ratios and predicts heavy superpartners beyond LHC reach.

Findings

Electroweak scale arises from radiative corrections at specific GUT-scale ratios.

Superparticle masses are predicted to be beyond LHC detection for a 124 GeV Higgs.

The gravitino and higgsino masses are comparable to the Fermi scale.

Abstract

We consider the minimal supersymmetric Standard Model with large scalar and gaugino mass terms at the GUT scale, which are generated predominantly by gauge-mediated supersymmetry breaking. For certain ratios of GUT-scale masses, determined by the messenger indices, large radiative corrections lead to a small electroweak scale in a way which resembles the well-known focus point mechanism. The Fermi scale, the gravitino mass and the higgsino masses are of comparable size. For a Higgs mass of about 124 GeV all other superparticles have masses outside the reach of the LHC.