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

References in corpus (7)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Updated NNLO QCD predictions for the weak radiative B-meson decays
• B-decay Anomalies in a Composite Leptoquark Model
• Hint of Lepton Flavour Non-Universality in $B$ Meson Decays
• Leptoquark Flavor Patterns & B Decay Anomalies
• Diagnosing lepton-nonuniversality in $b\to s\ell \ell$
• Search for Nucleon Decay into Charged Anti-lepton plus Meson in Super-Kamiokande I and II

Cited by in corpus (1)

• Neutrino mixing and $R_K$ anomaly in $U(1{)}_X$ models: a bottom-up approach