Anomalous magnetic and electric moments of τ and lepton flavor mixing matrix in effective lagrangian approach

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In an effective lagrangian approach [EM97] to new physics, the authors in ref. [HL99] pushed tau anomalous magnetic and electric dipole moments (AMDM and EDM) down to 10⁻¹¹ and 10⁻²⁵ e cm by using a Fritzsch-Xing lepton mass matrix ansatz. In this note, we find that, in this approach, there exists the connection between τ AMDM and EDM and the lepton flavor mixing matrix. By using the current neutrino oscillation experimental results, we investigate the parameter space of lepton mixing angles to τ AMDM and EDM. We can obtain the same or smaller bounds of δaτ and dτ acquired in ref. [HL99] and constrain θₗ (the mixing angle obtained by long-baseline neutrino oscillation experiments) from τ AMDM and EDM.