Light Higgsino in Heavy Gravitino Scenario with Successful Electroweak Symmetry Breaking

TL;DR

This paper explores a supersymmetric model with a heavy gravitino and light higgsinos, demonstrating successful electroweak symmetry breaking and potential dark matter candidates despite large mass hierarchies.

Contribution

It shows that a light higgsino can exist with a heavy gravitino and squark spectrum, enabling electroweak symmetry breaking and dark matter compatibility in the minimal supersymmetric standard model.

Findings

Light higgsino mass at electroweak scale achieved despite heavy gravitino.

Heavy squarks (~10^4 GeV) can raise Higgs mass to 125 GeV.

Electroweak symmetry breaking occurs with fine-tuned mu parameter.

Abstract

We consider, in the context of the minimal supersymmetric standard model, the case where the gravitino weighs 10^6 GeV or more, which is preferred by various cosmological difficulties associated with unstable gravitinos. Despite the large Higgs mixing parameter B together with the little hierarchy to other soft supersymmetry breaking masses, a light higgsino with an electroweak scale mass leads to successful electroweak symmetry breaking, at the price of fine-tuning the higgsino mixing mu parameter. Furthermore the light higgsinos produced at the decays of gravitinos can constitute the dark matter of the universe. The heavy squark mass spectrum of O(10^4) GeV can increase the Higgs boson mass to about 125 GeV or higher.