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.

11 pages, no figures. Comparison with the phenomenology extended. Matches version to be published in PLB

References in corpus (9)

• Towards a consistent estimate of the chiral low-energy constants
• Form Factors in the radiative pion decay
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Resonance Chiral Lagrangian Currents and Experimental Data for ${\tau }^{-}\to {\pi }^{-}{\pi }^{-}{\pi }^{+}{\nu }_{\tau }$
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• One meson radiative tau decays
• Study of tau- --> V P- nu(tau) in the framework of resonance chiral theory
• On the relation between low-energy constants and resonance saturation
• Holography and Anomaly Matching for Resonances

Cited by in corpus (34)

• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• The anomalous magnetic moment of the muon in the Standard Model: an update
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Two-Hadron Saturation for the Pseudoscalar-Vector-Vector Correlator and Phenomenological Applications
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• Scalar-involved three-point Green functions and their phenomenology
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• One-loop determination of $\tau \to \pi (K){\nu }_{\tau }[\gamma ]$ branching ratios and new physics tests
• Isospin breaking corrections in $2\pi$ production in tau decays and $e^{+}{e}^{-}$ annihilation: consequences for the muon $g-2$ and CVC tests
• Triple-product asymmetry in the radiative two-pion tau decay
• Long-distance weak annihilation contribution to the $B^{\pm }\to ({\pi }^{\pm },K^{\pm }){\ell }^{+}{\ell }^{-}$ decays
• OPE of Green Functions of Chiral Currents
• Lepton-pair production in di-pion $\tau$ lepton decays
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• A study of $\rho -\omega$ mixing in resonance chiral theory
• Improved description of di-lepton production in ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}$ decays
• On the three-point order parameters of chiral symmetry breaking
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Hadronic light-by-light contribution to the muon g-2
• Pseudoscalar pole contribution to the hadronic light-by-light piece of $a_{\mu }$
• Isospin-breaking corrections to ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays and the muon $g-2$
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Resonance Chiral Lagrangians and alternative approaches to hadronic tau decays
• Electromagnetic corrections in hadronic tau decays
• High order chiral Lagrangians with vector mesons in different approaches