English

Perturbative Effects in the Form Factor \gamma\gamma^*\to \pi and Extraction of the Pion Wave Function from CLEO Data

High Energy Physics - Phenomenology 2016-09-06 v2

Abstract

We study the pion form factor F^{\pi \gamma\gamma^*}(Q^2) in the light-cone sum rule approach, accounting for radiative corrections and higher twist effects. Comparing the results to the CLEO experimental data on F^{\pi \gamma\gamma^*}(Q^2), we extract the the pion distribution amplitude of twist-2. The deviation of the distribution amplitude from the asymptotic one is small and is estimated to be a_2(\mu) = 0.12 \pm 0.03 at \mu=2.4 GeV, in the model with one non-asymptotic term. The ansatz with two non-asymptotic terms gives some region of a_2 and a_4, which is consistent with the asymptotic distribution amplitude, but does not agree with some old models.

Keywords

Cite

@article{arxiv.hep-ph/9905392,
  title  = {Perturbative Effects in the Form Factor \gamma\gamma^*\to \pi and Extraction of the Pion Wave Function from CLEO Data},
  author = {Alexander Schmedding and Oleg Yakovlev},
  journal= {arXiv preprint arXiv:hep-ph/9905392},
  year   = {2016}
}

Comments

21 pages, LaTeX, 7 eps figures; (v2): Phys. Rev. D version