Renormalizable SU(5) Unification

Abstract

We propose a simple renormalizable grand unified theory based on the $SU(5)$ gauge symmetry where the neutrino masses are generated at the quantum level through the Zee mechanism. In this model the same Higgs needed to correct the mass relation between charged leptons and down-type quarks plays a crucial role to generate neutrino masses. We show that in this model one can satisfy the constrains coming from the unification of gauge couplings and the mechanism for neutrino masses is discussed in detail. The predictions for proton decay are discussed in order to understand the testability at current and future experiments such as Hyper-Kamiokande. This simple theory predicts a light colored octet which could give rise to exotic signatures at the LHC.

minor corrections, to appear in Physical Review D

References in corpus (18)

• Flavor Changing Neutral Currents, an Extended Scalar Sector, and the Higgs Production Rate at the LHC
• Search for narrow resonances decaying to dijets in proton-proton collisions at sqrt(s) = 13 TeV
• Probing seesaw at LHC
• Search for Proton Decay via $p\to \nu K^{+}$ using 260 kiloton$\cdot$year data of Super-Kamiokande
• Colored Resonant Signals at the LHC: Largest Rate and Simplest Topology
• Color-octet scalars at the LHC
• Renormalizable Adjoint SU(5)
• Search for Nucleon Decay into Charged Anti-lepton plus Meson in Super-Kamiokande I and II
• Upper Bound on the Mass of the Type III Seesaw Triplet in an SU(5) Model
• Color Octet Scalar Production at the LHC
• Predictions from type II see-saw mechanism in SU(5)
• Fermion Masses and the UV Cutoff of the Minimal Realistic SU(5)
• Unification versus proton decay in SU(5)
• Proton Stability, Dark Matter and Light Color Octet Scalars in Adjoint SU(5) Unification
• Grand Unification and Light Color-Octet Scalars at the LHC
• Factorization and resummation for single color-octet scalar production at the LHC
• Pair Production of Color-Octet Scalars at the LHC
• Electroweak phase transition in an extension of the Standard Model with scalar color octet

Cited by in corpus (26)

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• Axion Dark Matter, Proton Decay and Unification
• On the Origin of Two-Loop Neutrino Mass from SU(5) Grand Unification
• The QCD Axion and Unification
• Towards Minimal SU(5)
• LHC bounds on coloured scalars
• Viable quark-lepton Yukawa ratios and nucleon decay predictions in $SU(5)$ GUTs with type-II seesaw
• Radiative neutrino masses and successful $SU(5)$ unification
• New theoretical constraints on scalar color octet models
• Renormalizable SU(5) Completions of a Zee-type Neutrino Mass Model
• Seesaw Scale, Unification, and Proton Decay
• Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw
• Nucleon decay in a minimal non-SUSY GUT with predicted quark-lepton Yukawa ratios
• Fully Testable Axion Dark Matter within a Minimal $SU(5)$ GUT
• $W$ Boson Mass and Grand Unification via the Type-$\mathrm{I}\mathrm{I}$ Seesaw-like Mechanism
• Flavor physics in SU(5) GUT with scalar fields in the 45 representation
• Electric dipole moments from colour-octet scalars
• Statistical significances and projections for proton decay experiments
• Validity of two Higgs doublet models with a scalar color octet up to a high energy scale
• Exploring flavour space of an economical SU(5) GUT in future proton decay measurements
• BSM Matter providing Neutrino Masses and Gauge Unification
• Revisiting $\mathrm{SU}(5)$ Yukawa Sectors Through Quantum Corrections