Consistent high-energy constraints in the anomalous QCD sector

The anomalous < VVP > Green function and related form-factors (pi(0) -> gamma*gamma* and tau(-) -> X-nu(tau) vector form-factors, with X- = (KK pi)(-), phi(-)gamma, (phi V)(-)) are analyzed in this letter in the large-N-C 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., F-V(2) = 3F(2). 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. (C) 2014 The Authors. Published by Elsevier B.V.