One colorful resolution to the neutrino mass generation, three lepton flavor universality anomalies, and the Cabibbo angle anomaly

We propose a simple model to simultaneously explain four observed flavor anomalies while generating the neutrino mass at the one-loop level. Specifically, we address the measured anomalous magnetic dipole moments of the muon, $\mathrm{\Delta }{a}_{\mu }$ , and electron, $\mathrm{\Delta }{a}_e$, the observed anomaly of $b\to s{l}^{+}{l}^{-}$ in the $B$-meson decays, and the Cabibbo-angle anomaly. The model consists of four colorful new degrees of freedom: three scalar leptoquarks with the Standard Model quantum numbers $(3,3,-1\mathrm{/}3),(3,2,1\mathrm{/}6)$, and $(3,1,2\mathrm{/}3)$, and one pair of down-quark-like vector fermion in $(3,1,-1\mathrm{/}3)$. The baryon number is assumed to be conserved for simplicity. Phenomenologically viable solutions with the minimal number of real parameters can be found to accommodate all the above-mentioned anomalies and produce the approximate, close to $1\sigma$, neutrino oscillation pattern at the same time. From general consideration, the model robustly predicts: (1) neutrino mass is of the normal hierarchy type, and (2) ${\cal M}^\nu_{ee}\lesssim 3\times 10^{-4}\mbox{eV}$. The possible UV origin to explain the flavor pattern of the found viable parameter space is briefly discussed. The parameter space can be well reproduced within a simple split fermion toy model.