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.
Highlights
Even though the Standard Model (SM) of particle physics is highly successful in describing the interactions of the fundamental particles, it has several drawbacks, such as not being able to explain the neutrino mass, the existence of dark matter (DM), and the origin of matter-antimatter asymmetry of the universe
We show that to realize twoloop neutrino mass in the context of renormalizable SUð5Þ Grand unified theories (GUTs), at least two new multiplets need to be added to the MRSU5
Grand unification based on the SUð5Þ gauge group is one of the leading candidates for the ultraviolet completion of the SM
Summary
Even though the Standard Model (SM) of particle physics is highly successful in describing the interactions of the fundamental particles, it has several drawbacks, such as not being able to explain the neutrino mass, the existence of dark matter (DM), and the origin of matter-antimatter asymmetry of the universe. The SM Higgs contained in the 5H-Higgs generates masses to all the charged fermions This scenario predicts special mass relations me 1⁄4 md, mμ 1⁄4 ms [6] at the GUT scale that is ruled out by the experimental data. Several different attempts are made to solve the aforementioned problems of the Georgi-Glashow model In all these works, neutrinos receive mass either at the tree-level or at the one-loop level by extending the scalar and/or fermion sectors. The novelty of this work is, our proposed setup is the first construction of a renormalizable model based on SUð5Þ gauge symmetry without imposing any additional symmetries and without introducing any additional fermions where the neutrinos receive mass at the twoloop level. Scalar leptoquarks naturally contained within the representations required to generate realistic charged fermion and neutrino masses in our framework can accommodate the recent B-physics anomalies
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