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

TL;DR

This paper proposes a unified model embedding leptoquarks into a scotogenic Dirac neutrino framework, aiming to simultaneously explain neutrino masses, dark matter, and flavor anomalies in B-meson decays and muon g-2.

Contribution

It introduces novel two-loop realizations of Dirac neutrino mass models with leptoquarks that can address multiple flavor anomalies and dark matter within a single framework.

Findings

Leptoquark embeddings support flavor anomaly explanations.

Two-loop realizations accommodate dark matter candidates.

Unified model links neutrino masses, dark matter, and flavor anomalies.

Abstract

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