TeV-scale vector leptoquark from Pati-Salam unification with vectorlike families

Abstract

© 2021 Published by the American Physical SocietyIn this paper, we show an explicit way to realize a TeV-scale vector leptoquark from the Pati-Salam unification with extra vectorlike families. The leptoquark mass is constrained to be heavier than PeV scale by the measurement of a flavor violating kaon decay, , in conventional models. This strong constraint can be avoided by introducing vectorlike families consistently with the quark and lepton masses and Cabbibo-Kobayashi-Maskawa and Pontecorvo-Maki-Nakagawa-Sakata matrices. In this model, the vector leptoquark can be sufficiently light to explain the recent anomaly, while the anomaly is difficult to be explained due to the strong constraints from the boson and vectorlike quark searches at the LHC. When the anomaly is explained, we show that tuning is required in the fermion matrix, the future experiments in and conversions will cover most available parameter space, and sizable neutral meson mixings, induced by the extra Higgs doublets, are unavoidable.