Towards Minimal SU(5)

Abstract

We propose a simple $SU(5)$ model that connects the neutrino mass generation mechanism to the observed disparity between the masses of charged leptons and down-type quarks. The model is built out of $5$-, $10$-, $15$-, $24$-, and $35$-dimensional representations of $SU(5)$ and comprises two (three) $3\times 3$ ($3\times 1$) Yukawa coupling matrices to accommodate all experimentally measured fermion masses and mixing parameters. The gauge coupling unification considerations, coupled with phenomenological constraints inferred from experiments that probe neutrino masses and mixing parameters and/or look for proton decay, fix all relevant mass scales of the model. The proposed scenario places several multiplets at the scales potentially accessible at the LHC and future colliders and correlates this feature with the gauge boson mediated proton decay signatures. It also predicts that one neutrino is massless.

12 pages, 2 figures; References are updated

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Cited by in corpus (10)

• A Parameter Space Exploration of the Minimal SU(5) Unification
• Viable quark-lepton Yukawa ratios and nucleon decay predictions in $SU(5)$ GUTs with type-II seesaw
• Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw
• Fully Testable Axion Dark Matter within a Minimal $SU(5)$ GUT
• Neutrino masses from new seesaw models: Low-scale variants and phenomenological implications
• Statistical significances and projections for proton decay experiments
• Exploring flavour space of an economical SU(5) GUT in future proton decay measurements
• Neutrino Mass Induced $n$-$\overline{n}$ Oscillation
• Scalar-induced Neutrinoless Double Beta Decay in $SU(5)$
• Compact representation for electroweak lepton sector