Two-loop contribution to the pion transition form factor vs. experimental data
S. V. Mikhailov, N. G. Stefanis
TL;DR
This paper calculates the pion-photon transition form factor including NNLO corrections, showing good agreement with some experimental data but highlighting challenges in modeling the BaBar data's growth.
Contribution
It provides NNLO radiative correction predictions for the pion transition form factor using light-cone sum rules and evaluates their consistency with experimental results.
Findings
Predictions agree with CELLO and CLEO data.
No model reproduces the BaBar data's Q^2 growth.
The BMS model aligns with several BaBar data points.
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 growth of the new BaBar data, though the BMS model complies with several BaBar data points.
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