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The latest measurements of the anomalous muon magnetic moment $a^{}_\mu\equiv (g^{}_\mu - 2)/2$ show a $4.2\sigma$ discrepancy between the theoreticalprediction of the Standard Model and the experimental observations. In order toaccount for such a discrepancy, we consider a possible extension of thetype-(I+II) seesaw model for neutrino mass generation with a gauged $L^{}_\mu -L^{}_\tau$ symmetry. By explicitly constructing an economical model with onlyone extra scalar singlet, we demonstrate that the gauge symmetry$U(1)^{}_{L^{}_\mu - L^{}_\tau}$ and its spontaneous breaking are cruciallyimportant not only for explaining the muon $(g - 2)$ result but also forgenerating neutrino masses and leptonic flavor mixing. Various phenomenologicalimplications and experimental constraints on the model parameters are alsodiscussed.

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