Radiative neutrino masses, lepton flavor mixing and muon $g-2$ in a leptoquark model

Abstract

We propose a leptoquark model with two scalar leptoquarks $S_1^{}\left(\bar{3},1,\frac{1}{3}\right)$ and ${\tilde{R}}_2^{}\left(3,2,\frac{1}{6}\right)$ to give a combined explanation of neutrino masses, lepton flavor mixing and the anomaly of muon $g-2$, satisfying the constraints from the radiative decays of charged leptons. The neutrino masses are generated via one-loop corrections resulting from a mixing between $S_1^{}$ and ${\tilde{R}}_2^{}$. With a set of specific textures for the leptoquark Yukawa coupling matrices, the neutrino mass matrix possesses an approximate $\mu$-$\tau$ reflection symmetry with ${\left(M_{\nu }^{}\right)}_{ee}^{}=0$ only in favor of the normal neutrino mass ordering. We show that this model can successfully explain the anomaly of muon $g-2$ and current experimental neutrino oscillation data under the constraints from the radiative decays of charged leptons.

28 pages, 4 figures, references added, and the version accepted for publication in JHEP

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