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We propose a new model with flavor-dependent gauged $U(1)_{B-L_1}\timesU(1)_{B-L_{2}-L_{3}}$ symmetry in addition to the flavor-blind one in thestandard model. The model contains three right-handed neutrinos to cancel gaugeanomalies and several Higgses to construct the measured fermion masses. We showthe generic feature of the model and explore its phenomenology. In particular,we discuss the current bounds on the extra gauge bosons from the K and B mesonmixings as well as the LEP and LHC data and focus on their contributions to thelepton flavor violating processes of $\ell_{i+1}\to \ell_i\gamma$ (i=1,2).

A model with flavor-dependent gauged $U(1)_{B-L_1}\times U(1)_{B-L_2-L_3}$ symmetry