Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry

Abstract

The latest measurements of the anomalous muon magnetic moment $a_{\mu }^{}\equiv (g_{\mu }^{}-2)/2$ show a $4.2\sigma$ discrepancy between the theoretical prediction of the Standard Model and the experimental observations. In order to account for such a discrepancy, we consider a possible extension of the type-(I+II) seesaw model for neutrino mass generation with a gauged $L_{\mu }^{}-L_{\tau }^{}$ symmetry. By explicitly constructing an economical model with only one extra scalar singlet, we demonstrate that the gauge symmetry $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ and its spontaneous breaking are crucially important not only for explaining the muon $(g-2)$ result but also for generating neutrino masses and leptonic flavor mixing. Various phenomenological implications and experimental constraints on the model parameters are also discussed.

arXiv comment23 pages, 3 figures, 1 table, typos corrected, more references added, to appear in Chin. Phys. C

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• Phenomenology of Scalar Leptoquarks at the LHC in Explaining the Radiative Neutrino Mass, Muon $g-2$ and Lepton Flavour Violating Observables
• General Kinetic Mixing in Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Model for Muon $g-2$ and Dark Matter
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• General Remarks on the One-loop Contributions to the Muon Anomalous Magnetic Moment
• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• Muon ($g-2$) in $U(1{)}_{L_{\mu }-L_{\tau }}$ Scotogenic Model Extended with Vector like Fermion
• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment