SU(5) Unification with TeV-scale Leptoquarks

Abstract

It was previously noted that SU(5) unification can be achieved via the simple addition of light scalar leptoquarks from two split $10$ multiplets. We explore the parameter space of this model in detail and find that unification requires at least one leptoquark to have mass below $\approx 16$TeV. We point out that introducing splitting of the $24$ 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.

17 pages, 4 figures

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• SU(5) Unification without Proton Decay
• Renormalizable SU(5) Completions of a Zee-type Neutrino Mass Model
• Implications of the $R_K$ and $R_{K^{\ast }}$ anomalies
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• Novel Leptoquark Pair Production at LHC
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