Consistent high-energy constraints in the anomalous QCD sector
Abstract
The anomalous <VVP> Green function and related form-factors (pi^0 to gamma^* gamma^* and tau^- to X^- nu_tau vector form-factors, with X^-=(KKpi)^-, 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 over-determine 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 = 3 F^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.
Cite
@article{arxiv.1312.6206,
title = {Consistent high-energy constraints in the anomalous QCD sector},
author = {Pablo Roig and Juan José Sanz Cillero},
journal= {arXiv preprint arXiv:1312.6206},
year = {2014}
}
Comments
11 pages, no figures. Comparison with the phenomenology extended. Matches version to be published in PLB