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Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints

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arxiv hep-ph/0106034 v2 pith:AGSLJXEB submitted 2001-06-04 hep-ph

classification hep-ph
keywords low-energyresonanceconstantsconstraintsestimatesfactorformlagrangian
verification ladder T0 review T1 audit T2 compute T3 formal
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Starting from the study of the low-energy and high-energy behaviours of the QCD three-point functions <VAP>, <VVP> and <AAP>, several O(p^6) low-energy constants of the chiral Lagrangian are evaluated within the framework of the lowest meson dominance (LMD) approximation to the large-N_C limit of QCD. In certain cases, values that differ substantially from estimates based on a resonance Lagrangian are obtained. It is pointed out that the differences arise through the fact that QCD short-distance constraints are in general not correctly taken into account in the approaches using resonance Lagrangians. We discuss the implications of our results for the O(p^6) counterterm contributions to the vector form factor of the pion and to the decay \pi -> e \nu_e \gamma, and for the pion-photon-photon transition form factor.

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  1. On the contribution from the light quarks to $H\to\gamma\gamma , \gamma Z$

    hep-ph 2025-07 conditional novelty 6.0 of 10

    The light-quark contribution to H to gamma gamma and H to gamma Z is nonzero and linear in quark masses, with a large enhancement in the two-photon channel.

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