Consistent high-energy constraints in the anomalous QCD sector

The anomalous 〈VVP〉〈VVP〉 Green function and related form-factors (π0→γ⁎γ⁎π0→γ⁎γ⁎ and τ−→X−νττ−→X−ντ vector form-factors, with X−=(KKπ)−X−=(KKπ)−, φ−γφ−γ, (φV)−(φV)−) are analyzed in this letter in the large-NCNC limit. Within the single (vector and pseudoscalar) resonance approximation and the context of Resonance Chiral Theory, we show that all these observables overdetermine in a consistent way a unique set of compatible high-energy constraints for the resonance couplings. This result is in agreement with analogous relations found in the even intrinsic-parity sector of QCD like, e.g., FV2=3F2. The antisymmetric tensor formalism is considered for the spin-one resonance fields. Finally, we have also worked out and provide here the relation between the two bases of odd intrinsic-parity Lagrangian operators commonly employed in the literature.