This discussion reveals the impact of scalar fields on neutrinoless double beta decay in SU(5), suggesting new enhancements.
We discuss the role of heavy scalar fields in mediating neutrinoless double beta decay $(0νββ)$ within the $SU(5)$ Grand Unified Theory framework, extended suitably to include neutrino mass. In such a minimal realistic $SU(5)$ setup for fermion masses, the scalar contributions to $0νββ$ are extremely suppressed as a consequence of the proton decay bound. We circumvent this problem by imposing a discrete Z₃ symmetry. However, the scalar contributions to $0νββ$ remain suppressed in this SU(5) × Z₃ model due to the neutrino mass constraint. We find that the $0νββ$ contribution can be enhanced by extending the scalar sector with an additional 15-dimensional scalar representation with suitable Z₃ charge. Such an extension not only yields realistic fermion mass spectra but also leads to experimentally testable predictions in upcoming ton-scale $0νββ$ searches, which can be used as a sensitive probe of the new scalars across a broad range, from LHC-accessible scales up to ~ 10¹⁰\,GeV.
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Dev et al. (2025) studied this question.
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