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Pion-photon transition form factor in LCSR and tests of asymptotics

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arxiv 2006.10576 v3 pith:LSD3UW5H submitted 2020-06-17 hep-ph hep-ex

N. G. Stefanis This is my paper · ORCID
classification hep-phhep-ex
keywords pioncomparisondatafactorformgammannloorder
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the pion-photon transition form factor (TFF) $F^{\gamma*\gamma\pi^0}(Q^2)$ using a state-of-the art implementation of light cone sum rules (LCSRs) within fixed-order QCD perturbation theory. The spectral density in the dispersion relation includes all currently known radiative corrections up to the next-to-next-to-leading-order (NNLO) and all twist contributions up to order six. Predictions for the TFF are obtained for various pion distribution amplitudes (DAs) of twist two, including two-loop evolution which accounts for heavy-quark mass thresholds. The influence of the main theoretical uncertainties is quantified in order to enable a more realistic comparison with the data. The characteristics of various pion DAs are analyzed in terms of the conformal coefficients $a_2$ and $a_4$ in comparison with the $1\sigma$ and $2\sigma$ error regions of the data and the most recent lattice constraints on $a_2$ with NLO and NNLO accuracy. Our results provide more stringent bounds on the variation of the pion DA and illuminate the corresponding asymptotic behavior of the calculated TFF.

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Cited by 2 Pith papers

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

  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.

  2. Data-driven analysis of the $\gamma\gamma^*\rightarrow\pi^0$ system using mathematical models and the role of feedback-loop dynamics

    hep-ph 2024-12 reject novelty 2.0 of 10

    A two-parameter fit model yields a half-saturation relation that is algebraically trivial, and a claimed improved Belle fit that is not quantitatively demonstrated.

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