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

Yu-Ming Wang, Yue-Long Shen

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We reconsider QCD factorization for the leading power contribution to the γ *γ → π 0 form factor F0(Q 2) at one loop using the evanescent operator approach, and demonstrate the equivalence of the resulting factorization formulae derived with distinct prescriptions of γ 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(α s) , with both naive dimensional regularization and ’t Hooft-Veltman schemes of γ 5. Confronting our theoretical predictions of F 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.

Original languageEnglish
Article number37
Number of pages38
JournalJournal of High Energy Physics
Volume2017
Issue number12
DOIs
Publication statusPublished - 7 Dec 2017

Funding

We are grateful to Martin Beneke and Vladimir Braun for illuminating discussions and to Vladimir Braun for many valuable comments on the manuscript. Y.M.W acknowledges support from the National Youth Thousand Talents Program, the Youth Hundred Academic Leaders Program of Nankai University, and the NSFC with Grant No. 11675082. The work of Y.L.S is supported by Natural Science Foundation of Shandong Province, China under Grant No. ZR2015AQ006.

Austrian Fields of Science 2012

  • 103012 High energy physics

Keywords

  • Perturbative QCD
  • Resummation
  • TO-LEADING ORDER
  • MESON DISTRIBUTION AMPLITUDE
  • CONE SUM-RULES
  • EVOLUTION KERNELS
  • EXCLUSIVE PROCESSES
  • TRANSVERSITY DISTRIBUTIONS
  • QUANTUM CHROMODYNAMICS
  • SPECTATOR-SCATTERING
  • EVANESCENT OPERATORS
  • ASYMPTOTIC-BEHAVIOR

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