English

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

High Energy Physics - Phenomenology 2018-01-17 v1 High Energy Physics - Experiment High Energy Physics - Lattice

Abstract

We reconsider QCD factorization for the leading power contribution to the γγπ0\gamma^{\ast} \gamma \to \pi^0 form factor Fγγπ0(Q2)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 γ5\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 O(αs){\cal O}(\alpha_s), with both naive dimensional regularization and 't Hooft-Veltman schemes of γ5\gamma_5. Confronting our theoretical predictions of Fγγπ0(Q2)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.

Keywords

Cite

@article{arxiv.1706.05680,
  title  = {Subleading power corrections to the pion-photon transition form factor in QCD},
  author = {Yu-Ming Wang and Yue-Long Shen},
  journal= {arXiv preprint arXiv:1706.05680},
  year   = {2018}
}

Comments

36 pages, 8 figures