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Subleading power corrections to the pion-photon transition form factor in QCD

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arxiv 1706.05680 v1 pith:DR62VLZA submitted 2017-06-18 hep-ph hep-exhep-lat

classification hep-phhep-exhep-lat
keywords gammafactorformpowercontributiondimensionalfactorizationphoton
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We reconsider QCD factorization for the leading power contribution to the $\gamma^{\ast} \gamma \to \pi^0$ form factor $F_{\gamma^{\ast} \gamma \to \pi^0} (Q^2)$ at one loop using the evanescent operator approach, and demonstrate the equivalence of the resulting factorization formulae derived with distinct prescriptions of $\gamma_5$ in dimensional regularization. Applying the light-cone QCD sum rules (LCSRs) with photon distribution amplitudes (DAs) we further compute the subleading power contribution to the pion-photon form factor induced by the "hadronic" component of the real photon at the next-to-leading-order in ${\cal O}(\alpha_s)$, with both naive dimensional regularization and 't Hooft-Veltman schemes of $\gamma_5$. Confronting our theoretical predictions of $F_{\gamma^{\ast} \gamma \to \pi^0} (Q^2)$ with the experimental measurements from the BaBar and the Belle Collaborations implies that a reasonable agreement can be achieved without introducing an "exotic" end-point behaviour for the twist-2 pion DA.

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  1. Hadronic photon correction to $\gamma^{\ast} \gamma \to f_{2}(1270)$ at next-to-leading order

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Hadronic photon corrections to gamma* gamma -> f2(1270) are computed at NLO with NLL resummation, giving updated form factors that raise T0 toward Belle data.

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