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arXiv · 1312.6206

Consistent high-energy constraints in the anomalous QCD sector

Pablo Roig·Juan José Sanz Cillero
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Abstract

The anomalous 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.

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Pablo Roig, Juan José Sanz Cillero. 2014-04-17. Consistent high-energy constraints in the anomalous QCD sector. https://doi.org/10.1016/j.physletb.2014.04.034

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