Focus Point Gauge Mediation with Incomplete Adjoint Messengers and Gauge Coupling Unification

Abstract

As the mass limits on supersymmetric particles are gradually pushed to higher values due to their continuing non-observation at the CERN LHC, looking for focus point regions in the supersymmetric parameter space, which shows considerably reduced fine-tuning, is increasingly more important than ever. We explore this in the context of gauge mediated supersymmetry breaking with messengers transforming in the adjoint representation of the gauge group, namely, octet of color SU(3) and triplet of weak SU(2). A distinctive feature of this scenario is that the focus point is achieved by fixing a single combination of parameters in the messenger sector, which is invariant under the renormalization group evolution. Because of this invariance, the focus point behavior is well under control once the relevant parameters are fixed by a more fundamental theory. The observed Higgs boson mass is explained with a relatively mild fine-tuning $\Delta =$ 60-150. Interestingly, even in the presence of incomplete messenger multiplets of the SU(5) GUT group, the gauge couplings still unify perfectly, but at a scale which is one or two orders of magnitude above the conventional GUT scale. Because of this larger unification scale, the colored Higgs multiplets become too heavy to trigger proton decay at a rate larger than the experimentally allowed limit.

9 pages, 4 figures, the version to be published

References in corpus (8)

• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Search for squarks and gluinos with the ATLAS detector in final states with jets and missing transverse momentum using $\sqrt{s}=8$ TeV proton--proton collision data
• Search for Proton Decay via $p\to \nu K^{+}$ using 260 kiloton$\cdot$year data of Super-Kamiokande
• Compressed supersymmetry and natural neutralino dark matter from top squark-mediated annihilation to top quarks
• Relaxed fine-tuning in models with non-universal gaugino masses
• Muon g-2 in Focus Point SUSY
• Seminatural SUSY from $E_7$ Nonlinear Sigma Model
• Upper Bounds on Gluino, Squark and Higgisino Masses in the Focus Point Gaugino Mediation with a Mild Fine Tuning $\Delta \le 100$

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• Gauge Mediation Models with Adjoint Messengers
• Seminatural Gauge Mediation from Product Group Unification
• Low Fine Tuning in Yukawa-deflected Gauge Mediation
• Naturalness and Dark Matter in a Realistic Intersecting D6-Brane Model
• Light Higgsino as the tail of the $\mu$-$B_{\mu }$ solution
• Indian Contributions to LHC Theory