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.
Highlights
The promising proposal of the unification of the Standard Model (SM) matter fields and their interactions using the SUð5Þ group as the supporting gauge structure has been around for more than four decades [1]
We propose a simple SUð5Þ model that connects the neutrino mass generation mechanism to the observed disparity between the masses of charged leptons and down-type quarks
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
Summary
The promising proposal of the unification of the Standard Model (SM) matter fields and their interactions using the SUð5Þ group as the supporting gauge structure has been around for more than four decades [1]. The subsequent need to accommodate the neutrino mass generation mechanism, on the other hand, has revealed that there are many potentially viable paths that could be taken, and the majority of studies within the SUð5Þ theory framework, over the last two decades, have been focused on various ways of implementing it [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21].
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