Two-loop contribution to the pion transition form factor vs. experimental data

2009/09/30 by С. В. Михайлов, S. V. Mikhailov, N. G. Stefanis
Mathematics · Physics and Astronomy · #Anomaly (physics) #Form factor (electronics) #High-Energy Particle Collisions Research #Loop (graph theory) #Mathematics #Muon #Nuclear physics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Statistical physics #Unitary state #hep-ph

paper · pdf · doi:10.1016/j.nuclphysbps.2009.12.039

5 pages, 2 figures, 3 tables. Presented by the first author at 3rd joint International HADRON STRUCTURE'09 Conference at Tatranska Strba, Slovakia, August 30th - September 3rd, 2009. v2 Eqs. (9), (10) corrected; wrong reference tag removed. v3 Fig. 2 and Ref. [13] corrected

arxiv created 2009/12/12 · openalex publication_date 2010/01/01 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present predictions for the pion-photon transition form factor, derived with the help of light-cone sum rules and including the main part of the NNLO radiative corrections. We show that, when the Bakulev-Mikhailov-Stefanis (BMS) pion distribution amplitude is used, the obtained predictions agree well with the CELLO and the CLEO data. We found that no model distribution amplitude can reproduce the observed Q² growth of the new BaBar data, though the BMS model complies with several BaBar data points.

Citations

• String tension scaling in high-temperature confinedSU(N)gauge theories
• Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer
• Measurement of the gamma gamma* --> pi0 transition form factor
• Unbiased analysis of CLEO data at NLO and the pion distribution amplitude