Minimal Z′ models for flavor anomalies

By allowing gauge anomaly cancellation between fermions in different families we find a non-universal solution for a Z′ family of models with the same content of fermions of the standard model plus three right-handed neutrinos. We also impose constraints from the Yukawa interaction terms in such a way that at the end we obtain a solution with six free parameters. Our solution contains as particular cases well-known models in the literature. As an application, we report a model that evades LHC constraints, flavor changing neutral currents and low energy constraints. Simultaneously, the model is able to explain the flavor anomalies in the Wilson coefficients C ₉(μ) and C ₁₀(μ) without modifying the corresponding Wilson coefficients for the first family. In our approach, this procedure is always possible for Z′ masses smaller than ∼2.5 TeV. (paper)