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We study the interplay of New Physics (NP) among the lepton magnetic moment,the lepton flavor violation (LFV) and the electron electric dipole moment (EDM)in the light of recent data of the muon $(g-2)_\mu$. The NP is discussed in theleptonic dipole operator with the $U(2)$ flavor symmetry of the chargedleptons, where possible CP violating phases of the three family space are takeninto account. It is remarked that the third-family contributes significantly tothe LFV decay, $\mu \to e\gamma$, and the electron EDM. The experimentalupper-bound of the $\mu \to e\gamma$ decay gives a severe constraint forparameters of the flavor model. The predicted electron EDM is rather large dueto CP violating phases in the three family space. In addition, we also study$(g-2)_{e,\tau}$ of the electron and tauon, and EDMs of the muon and tauon aswell as the $\tau \to e \gamma$ and $\tau \to \mu \gamma$ decays. The $\tau_R\to \mu_L \gamma$ decay is predicted close to the experimental upper-bound. The$\tau_R \to e_L \gamma$ decay is not suppressed.

Electron EDM and LFV decays in the light of Muon $(g-2)_\mu$ with U(2) flavor symmetry