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Is Doublet-Triplet Splitting Necessary?
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abstract
We demonstrate that it is not necessary to substantially break the mass degeneracy between the Standard Model Higgs boson doublet and the corresponding scalar leptoquark, where these two fields comprise a single five-dimensional $SU(5)$ representation. More precisely, we show that the experimental data on partial proton decay lifetimes cannot place any meaningful bound on the mass of the scalar leptoquark, a.k.a. the color triplet, if one includes effects of higher-dimensional operators within the Georgi-Glashow model. We also point out that the complete suppression of proton decay via the scalar leptoquark mediation is compatible with the partial suppression of the gauge mediated two-body proton decay signatures. Finally, we derive a proper limit on the cutoff scale of the aforementioned higher-dimensional operators and outline how this scenario could be tested.
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Non-Renormalizable SU(5) GUTs: Leptoquark-Induced Neutrino Masses
The paper shows that non-renormalizable SU(5) models can host light scalar leptoquarks with suppressed proton decay while explaining neutrino masses and unifying gauge couplings.
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