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Consistent high-energy constraints in the anomalous QCD sector

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arxiv 1312.6206 v2 pith:ANYJRLUO submitted 2013-12-21 hep-ph nucl-th

Pablo Roig , Juan José Sanz Cillero This is my paper · ORCID
classification hep-phnucl-th
keywords resonancegammaanomalousconsistentconstraintsform-factorshigh-energyintrinsic-parity
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revisit of the electromagnetic correction to $\tau\to\pi\pi\nu_\tau$ and its implication for muon $g-2$ based on $\tau$ data

    hep-ph 2025-10 conditional novelty 5.0 of 10

    Including scalar contributions to the omega->pi0 pi0 gamma fit revises G_EM(t); with the new correction, tau data give a_mu^HVP,LO(pi pi) = 516.0e-10 and a 2.7 sigma muon g-2 discrepancy.

  2. Hadronic vacuum polarization contribution to the muon g-2 on Euclidean windows from tau data

    hep-ph 2024-11 conditional novelty 3.0 of 10

    Tau data give an independent, lattice-compatible value for the intermediate-window hadronic vacuum polarization, disagreeing with the e+e- data-driven value that drives the muon g-2 tension.

  3. Radiative corrections to one- and two-meson tau decays for precise new physics tests

    hep-ph 2024-11 conditional novelty 2.0 of 10

    Improved radiative corrections bring the pion tau-decay ratio into one-sigma agreement with lepton universality and sharpen CKM-unitarity and non-standard-interaction constraints.

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