Nearly Bi-Maximal Neutrino Mixing, Muon g-2 Anomaly and Lepton-Flavor-Violating Processes

Abstract

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 bi-maximal neutrino mixing. Useful constraints are obtained on the rates of lepton-flavor-violating rare decays $\tau \to \mu \gamma$, $\mu \to e\gamma$ and $\tau \to e\gamma$ as well as the $\mu$-$e$ conversion ratio $R_{\mu e}$. We find that $\Gamma (\mu \to e\gamma )$, $\Gamma (\tau \to e\gamma )$ and $R_{\mu e}$ depend crucially on possible non-zero but samll 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 $\Gamma (\tau \to \mu \gamma )/m_{\tau }^5$, $\Gamma (\mu \to e\gamma )/m_{\mu }^5$ and $\Gamma (\tau \to e\gamma )/m_{\tau }^5$ are approximately in the ratio $1:2|V_{e3}{|}^2:2|V_{e3}{|}^2$ if $|V_{e3}|$ is much larger than $\mathcal{O}(10^{-2})$, and in the ratio $2(\Delta m_{\mathrm{atm}}^2{)}^2:(\Delta m_{\mathrm{sun}}^2{)}^2:(\Delta m_{\mathrm{sun}}^2{)}^2$ if $|V_{e3}|$ is much lower than $\mathcal{O}(10^{-3})$, where $\Delta m_{\mathrm{atm}}^2$ and $\Delta m_{\mathrm{sun}}^2$ are the corresponding mass-squared differences of atmospheric and solar neutrino oscillations.

LaTex 6 pages (2 PS figures). Phys. Rev. D (in printing)

References in corpus (5)

• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Supersymmetry and the Anomalous Anomalous Magnetic Moment of the Muon
• Implications of Muon g-2 for Supersymmetry and for Discovering Superpartners Directly
• A nonsupersymmetric resolution of the anomalous muon magnetic moment
• Recent Result from E821 Experiment on Muon g-2 and Unconstrained Minimal Supersymemtric Standard Model

Cited by in corpus (20)

• Neutrino Mass Models
• Cold Dark Matter, Radiative Neutrino Mass, mu to e gamma, and Neutrinoless Double Beta Decay
• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
• Phenomenology of lepton flavor violation in 2HDM(III) from (g-2)_mu and leptonic decays
• MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment
• Constraints on lepton flavor violation in the MSSM from the muon anomalous magnetic moment measurement
• τ^- \to μ^- π^0(η,η') Decays in New Physics Scenarios beyond the Standard Model
• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Lepton Dipole Moments and Rare Decays in the CP-violating MSSM with Nonuniversal Soft-Supersymmetry Breaking
• The anomalous magnetic moment of the muon and radiative lepton decays
• Scalar scenarios contributing to (g-2)_mu with enhanced Yukawa couplings
• Resummations with renormalon effects for the hadronic vacuum polarization contribution to the muon (g-2)
• Neutrino Mass Models
• Understanding for flavor physics in the lepton sector
• Implications of the muon anomalous magnetic moment and Higgs-mediated flavor changing neutral currents
• Kaluza-Klein Theories and the Anomalous Magnetic Moment of the Muon
• Electric charge quantization and the muon anomalous magnetic moment
• Electron and Muon $g-2$ Contributions from the $T^{\prime }$ Higgs Sector
• Muon anomalous magnetic moment due to the brane-stretching effect