Xing, ZZ (reprint author), Inst High Energy Phys, POB 918, Beijing 100039, Peoples R China.
We interpret the newly observed muon g-2 anomaly in the framework of a leptonic Higgs doublet model with nearly degenerate neutrino masses and nearly bimaximal neutrino mixing. Useful constraints are obtained on the rates of lepton-flavor-violating rare decays tau --> mu gamma, mu -->e gamma and tau -->e gamma well as the mu -e conversion ratio R-mue. We find that Gamma(mu -->e gamma), Gamma(tau -->e gamma) and R-mue depend crucially on possible nonzero but small values of the neutrino mixing matrix element V-e3, and they are also sensitive to the Dirac-type CP-violating phase. In particular, we show that In particular, we show that Gamma(tau --> mu gamma)/m(tau)(5), Gamma(mu -->e gamma )m(mu)(5) and Gamma(tau -->e gamma )m(tau)(5) are approximately in the ratio 1:2 \V-e3\ (2):2 \V-e3\ (2) if \ Ve3 \ is much large is much larger than O(10(-2)), and in the ratio 2(Deltam(atm)(2))(2):(Deltam(sun)(2))(2):(Deltam(sun)(2))(2) if \V-e3\ is much lower than O( 10(-3)), where Deltam(atm)(2) and Deltam(sun)(2) are the corresponding mass-squared differences of atmospheric and solar neutrino oscillations.