R-Symmetric Flipped SU(5)

Abstract

We construct a supersymmetric flipped SU(5) grand unified model that possesses an $R$ symmetry. This $R$ symmetry forbids dangerous non-renormalizable operators suppressed by a cut-off scale up to sufficiently large mass dimensions so that the SU(5)-breaking Higgs field develops a vacuum expectation value of the order of the unification scale along the $F$- and $D$-flat directions, with the help of the supersymmetry-breaking effect. The mass terms of the Higgs fields are also forbidden by the $R$ symmetry, with which the doublet-triplet splitting problem is solved with the missing partner mechanism. The masses of right-handed neutrinos are generated by non-renormalizable operators, which then yield a light neutrino mass spectrum and mixing through the seesaw mechanism that are consistent with neutrino oscillation data. This model predicts one of the color-triplet Higgs multiplets to lie at an intermediate scale, and its mass is found to be constrained by proton decay experiments to be $\gtrsim 5\times 10^{11}$ GeV. If it is $\lesssim 10^{12}$ GeV, future proton decay experiments at Hyper-Kamiokande can test our model in the $p\to {\pi }^0{\mu }^{+}$ and $p\to K^0{\mu }^{+}$ decay modes, in contrast to ordinary grand unified models where $p\to {\pi }^0{e}^{+}$ or $p\to K^{+}\bar{\nu }$ is the dominant decay mode. This characteristic prediction for the proton decay branches enables us to distinguish our model from other scenarios.

arXiv comment30 pages, 2 figures

References in corpus (26)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• R-parity violating supersymmetry
• Sphaleron Erasure of Primordial Baryogenesis
• Spread Supersymmetry
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• EDM Signatures of PeV-scale Superpartners
• Decoupling Can Revive Minimal Supersymmetric SU(5)
• Beyond the CMSSM without an Accelerator: Proton Decay and Direct Dark Matter Detection
• Flipping SU(5) out of Trouble
• Elements of F-ast Proton Decay
• Flipped Angles and Phases: A Systematic Study
• The Super-GUT CMSSM Revisited
• Sfermion Flavor and Proton Decay in High-Scale Supersymmetry
• Starobinsky-like Inflation, Supercosmology and Neutrino Masses in No-Scale Flipped SU(5)
• Supersymmetric Proton Decay Revisited
• Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting
• Lepton Flavor Violation and Cosmological Constraints on R-parity Violation
• Cosmology with a Master Coupling in Flipped SU(5) $\times$ U(1): The ${\lambda }_6$ Universe
• Superstring-Inspired Particle Cosmology: Inflation, Neutrino Masses, Leptogenesis, Dark Matter & the SUSY Scale
• Symmetry Breaking and Reheating after Inflation in No-Scale Flipped SU(5)
• Two-loop Renormalization Factors of Dimension-six Proton Decay Operators in the Supersymmetric Standard Models
• Resurrecting the minimal renormalizable supersymmetric SU(5) model
• No-Scale SU(5) Super-GUTs
• Proton Decay at $M_{pl}$ and the Scale of SUSY-Breaking
• A Minimal SU(5) SuperGUT in Pure Gravity Mediation
• A new approach to gauge coupling unification and proton decay

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• Moderately Suppressed Dimension-five Proton Decay in a Flipped $SU(5)$ Model
• A Minimal Supersymmetric SU(5) Missing-Partner Model
• Proton Decay in Product Group Unification
• FCNCs, Proton Stability, $g_{\mu }-2$ Discrepancy, Neutralino cold Dark Matter in Flipped $SU(5)\times U(1{)}_{\chi }$ from $F$ Theory with $A_4$ Symmetry
• A Generic Analysis of Nucleon Decay Branching Fractions in Flipped SU(5) Grand Unification