4-8 November 2024
Mexico/General timezone
Contribution
Dispersion relations in conjunction with the renormalization group
Content
We make use of the renormalization group summation in conjunction with the well-known light cone sum rules (LCSR) to obtain the QCD radiative corrections to the electromagnetic and transition pion form factor (emFF and TFF respectively) $F^\pi$ for spacelike in the mid-energy range of transfer momenta $Q^2$. The strong coupling constant in this approach appears to be free of Landau singularities, that allows one to go down to lower momenta $Q^2 <$~$ 1$GeV$^2$. The prediction calculated herewith reproduces the experimental data below/around 1~GeV$^2$ significantly better than analogous predictions based on a fixed-order power-series expansion in the strong coupling constant.