Abstract
Exchanging a Z′ gauge boson is a favored mechanism to solve the muon (g−2)μ anomaly. Among such models the Z′ from U(1)Lμ−Lτ gauge group has been extensively studied. In this model the same interaction addressing (g−2)μ, leads to an enhanced muon neutrino trident (MNT) process νμN→νμμμ¯N constraining the Z′ mass to be less than a few hundred MeV. Many other Z′ models face the same problem. It has long been realized that the coupling of Z′ in the model can admit (μ¯γμτ+ν¯μγμLντ)Zμ′ interaction which does not contribute to the MNT process. It can solve (g−2)μ anomaly for a much wider Z′ mass range. However this new interaction induces τ→μν¯μντ which rules out it as a solution to (g−2)μ anomaly. Here we propose a mechanism by introducing type-II seesaw SU(2)L triplet scalars to evade constraints from all known data to allow a wide Z′ mass range to solve the (g−2)μ anomaly. This mechanism opens a new window for Z′ physics.
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