Seminatural Gauge Mediation from Product Group Unification

Abstract

We propose a focus point gauge mediation model based on the product group unification (PGU), which solves the doublet-triplet splitting problem of the Higgs multiplets. In the focus point gauge mediation, the electroweak symmetry breaking scale can be naturally explained even for multi-TeV stops. It is known that the focus point behavior appears if a ratio of the number of SU(2) doublet messengers to that of SU(3) triplet messengers is close to 5/2. Importantly, this ratio (effectively) appears in our scenario based on the PGU, if the messenger field is an adjoint representation of SU(5) gauge group. Therefore, our focus point scenario is very predictive. It is also pointed out the gravitino can be dark matter without spoiling the success of the thermal leptogenesis. The absence of the SUSY CP-problem is guaranteed in the case that the Higgs B-term vanishes at the messenger scale.

15 pages, 4 figures, corrected typos, added references and a discussion on the SUSY CP problem

References in corpus (6)

• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Leptogenesis
• Enhancement of Proton Decay Rates in Supersymmetric SU(5) Grand Unified Models
• Testing the Minimal Direct Gauge Mediation at the LHC
• Focus Point Gauge Mediation with Incomplete Adjoint Messengers and Gauge Coupling Unification
• SUSY CP Problem in Gauge Mediation Model

Cited by in corpus (5)

• Search for Proton Decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ in 0.31 megaton$\cdot$years exposure of the Super-Kamiokande Water Cherenkov Detector
• Improving naturalness in Gauge Mediation with non-unified messenger sectors
• Gauge Mediation Models with Adjoint Messengers
• Low Fine Tuning in Yukawa-deflected Gauge Mediation
• Focus Point Gauge Mediation without a Severe Fine-tuning