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

In an effective lagrangian approach [1] to new physics, the authors in ref. [2] 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 δατ and dτ acquired in ref. [2] and constrain θl (the mixing angle obtained by long-baseline neutrino oscillation experiments) from τ AMDM and EDM.