We consider an anomaly-free U(1)′ model with favorable couplings to heavy
flavors in the Standard Model(SM), as motivated by B-meson anomalies at LHCb.
Taking the U(1)′ charge to be Q′=y(Lμ​−Lτ​)+x(B3​−L3​), we can
explain the B-meson anomalies without invoking extra charged fermions or
flavor violation beyond the SM. We show that there is a viable parameter space
with a small x that is compatible with other meson decays, tau lepton and
neutrino experiments as well as the LHC dimuon searches. We briefly discuss the
prospects of discovering the Z′ gauge boson at the LHC in the proposed model.Comment: 20 pages, 4 figures, v2: references and discussion on electroweak
precision test added, v3: Version to appear in Physical Review