We revisit the doublet-triplet splitting problem within the $SU(5)$ gauge
group framework to advocate a viable regime with the light scalar leptoquark of
the doublet-triplet splitting notoriety that is compatible with the current
experimental bounds on partial proton decay lifetimes. We explicitly
demonstrate, through a consistent use of higher-dimensional operators, how to
implement suppression of baryon number violating interactions of the
aforementioned color triplet. Our study thus offers an alternative approach to
the doublet-triplet splitting problem as it removes a need for an extreme mass
hierarchy between the partners residing in the same representation. Wir
furthermore pursue two different extensions of two distinct symmetry breaking
scenarios of $SU(5)$, one with a $24$-dimensional representation and the other
one with a $75$-dimensional representation, to produce comparative study of
novel consequences for the gauge coupling unification and the one-loop level
neutrino mass generation. Our results point towards qualitatively novel $SU(5)$
scenarios, where the light scalar leptoquarks, responsible for the neutrino
mass generation, might be even accessible at colliders and thus serve as an
accelerator accessible portal to the high-scale physics.
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2504.16022v1