EPJ Web Conf.
Volume 258, 2022A Virtual Tribute to Quark Confinement and the Hadron Spectrum (vConf21)
|Number of page(s)||8|
|Section||Parallel Presentations Track B|
|Published online||11 January 2022|
Improved calculation of the γ*γ → π process at low Q2 using LCSR’s and renormalization-group summation
1 Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia
2 Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
Published online: 11 January 2022
We study two versions of lightcone sum rules to calculate the γ*γ → π0 transition form factor (TFF) within QCD. While the standard version is based on fixed-order perturbation theory by means of a power-series expansion in the strong coupling, the new method incorporates radiative corrections by renormalization-group summation and generates an expansion within a generalized fractional analytic perturbation theory involving only analytic couplings. Using this scheme, we determine the relative nonperturbative parameters and the first two Gegenbauer coefficients of the pion distribution amplitude (DA) to obtain TFF predictions in good agreement with the preliminary BESIII data, while the best-fit pion DA satisfies the most recent lattice constraints on the second moment of the pion DA at the three-loop level.
© The Authors, published by EDP Sciences, 2022
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