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SU(5) Unification with TeV-scale Leptoquarks
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abstract
It was previously noted that SU(5) unification can be achieved via the simple addition of light scalar leptoquarks from two split $\bf10$ multiplets. We explore the parameter space of this model in detail and find that unification requires at least one leptoquark to have mass below $\approx16\,$TeV. We point out that introducing splitting of the $\bf24$ allows the unification scale to be raised beyond $10^{16}$ GeV, while a U(1)$_{PQ}$ symmetry can be imposed to forbid dangerous proton decay mediated by the light leptoquarks. The latest bounds from LHC searches are combined and we find that a leptoquark as light as 400 GeV is still permitted. Finally, we discuss the interesting possibility that the leptoquarks required for unification could also be responsible for the $2.6\sigma$ deviation observed in the ratio $R_K$ at LHCb.
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Cited by 1 Pith paper
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Minimal dark matter in $SU(5)$ grand unification
A non-supersymmetric SU(5) GUT with a 200F quintuplet dark matter and two TeV-scale sextet fermion pairs can achieve gauge coupling unification near the Planck scale.
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