No-Scale SU(5) Super-GUTs

Abstract

We reconsider the minimal SU(5) Grand Unified Theory (GUT) in the context of no-scale supergravity, assuming that the soft supersymmetry-breaking parameters satisfy universality conditions at some input scale M_in above the GUT scale M_GUT. When setting up such a no-scale super-GUT model, special attention must be paid to avoiding the Scylla of rapid proton decay and the Charybdis of an excessive density of cold dark matter, while also having an acceptable mass for the Higgs boson. We do not find consistent solutions if none of the matter and Higgs fields are assigned to twisted chiral supermultiplets, even in the presence of Giudice-Masiero terms. However, consistent solutions may be found if at least one fiveplet of GUT Higgs fields is assigned to a twisted chiral supermultiplet, with a suitable choice of modular weights. Spin-independent dark matter scattering may be detectable in some of these consistent solutions.

24 pages, 14 figures

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• Supersymmetric Proton Decay Revisited
• Inflation and Leptogenesis in High-Scale Supersymmetry
• Flipped SU(5) GUT Phenomenology: Proton Decay and $g_{\mu }-2$
• A Minimal SU(5) SuperGUT in Pure Gravity Mediation
• R-Symmetric Flipped SU(5)
• Upper Limit on the Proton Lifetime in Minimal Supersymetric SU(5)
• Low-Energy Probes of No-Scale SU(5) Super-GUTs
• No-scale SUGRA Inflation and Type-I seesaw
• A Minimal Supersymmetric SU(5) Missing-Partner Model
• Proton Decay in Product Group Unification
• Non-Universal Gaugino Masses in the NMSSM
• A Generic Analysis of Nucleon Decay Branching Fractions in Flipped SU(5) Grand Unification
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• An Algebraic Roadmap of Particle Theories, Part III: Intersections