Scotogenic Dirac neutrino mass models embedded with leptoquarks: one pathway to address the flavor anomalies and the neutrino masses together

Abstract

Abstract If the leptoquarks proposed to account for the intriguing anomalies observed in the semileptonic B-meson decays, $$R_{D^{(*)}}$$ R D ( ∗ ) and $$R_{K^{(*)}}$$ R K ( ∗ ) , as well as in the anomalous magnetic moment of the muon, $$(g-2)_\mu $$ ( g - 2 ) μ , can be embedded into the scotogenic Dirac neutrino mass models, all these flavor anomalies, together with the origin of neutrino masses and the nature of dark matter, could be potentially addressed in a unified picture. Among the minimal seesaw, one-loop, and two-loop realizations of the dimension-4 effective operator $${\mathcal {L}}_{4}$$ L 4 for the Dirac neutrino masses, we show that plenty of diagrams associated with the two-loop realizations of $${\mathcal {L}}_{4}$$ L 4 can support the coexistence of leptoquarks and dark matter candidates. After a simple match of these leptoquarks with the ones introduced to accommodate all the flavor anomalies, we establish the scotogenic Dirac neutrino mass models embedded with leptoquarks, which could address all the problems mentioned above.