On the Origin of Two-Loop Neutrino Mass from SU(5) Grand Unification

Abstract

In this work we propose a renormalizable model based on the $SU(5)$ gauge group where neutrino mass originates at the two-loop level without extending the fermionic content of the Standard Model (SM). Unlike the conventional $SU(5)$ models, in this proposed scenario, neutrino mass is intertwined with the charged fermion masses. In addition to correctly reproducing the SM charged fermion masses and mixings, neutrino mass is generated at the quantum level, hence naturally explains the smallness of neutrino masses. In this set-up, we provide examples of gauge coupling unification that simultaneously satisfy the proton decay constraints. This model has the potential to be tested experimentally by measuring the proton decay in the future experiments. Scalar leptoquarks that are naturally contained within this framework can accommodate the recent B-physics anomalies.

arXiv comment29 pages, 5 figures; replacement to match with the published version

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• Search for proton decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ with an enlarged fiducial volume in Super-Kamiokande I-IV
• Minimal Dirac Neutrino Mass Models from $U(1{)}_R$ Gauge Symmetry and Left-Right Asymmetry at Colliders
• Simplest Radiative Dirac Neutrino Mass Models
• Minimal Realizations of Dirac Neutrino Mass from Generic One-loop and Two-loop Topologies at $d=5$
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• Fully Testable Axion Dark Matter within a Minimal $SU(5)$ GUT
• Statistical significances and projections for proton decay experiments
• Scalar-induced Neutrinoless Double Beta Decay in $SU(5)$