Shifted focus point scenario from the minimal mixed mediation of SUSY breaking

TL;DR

This paper proposes a mixed mediation model for supersymmetry breaking that naturally explains the Higgs mass and reduces fine-tuning, predicting testable gluino masses at the LHC.

Contribution

It introduces a minimal mixed mediation scenario with a focus point at 3-4 TeV, linking SUSY breaking mechanisms to Higgs mass and fine-tuning reduction.

Findings

Focus point at 3-4 TeV explains 126 GeV Higgs mass

Fine-tuning measures are significantly reduced

Gluino mass predicted around 1.7 TeV, testable at LHC

Abstract

We employ both the minimal gravity- and the minimal gauge mediations of supersymmetry breaking at the grand unified theory (GUT) scale in a single supergravity framework, assuming the gaugino masses are generated dominantly by the minimal gauge mediation effects. In such a "minimal mixed mediation model," a "focus point" of the soft Higgs mass parameter, m_{h_u}^2 emerges at 3-4 TeV energy scale, which is exactly the stop mass scale needed for explaining the 126 GeV Higgs boson mass without the "A-term" at the three loop level. As a result, m_{h_u}^2 in the MSSM can be quite insensitive to various trial stop masses at low energy, reducing the fine-tuning measures to be much smaller than 100 even for a 3-4 TeV low energy stop mass and -0.5 < A_t / m_0 < +0.1 at the GUT scale. The $\mu$ parameter is smaller than 600 GeV. The gluino mass is predicted to be about 1.7 TeV, which could readily be tested at LHC run2.