May 22 – 26, 2023
IJCLab, Orsay (FRANCE)
Europe/Paris timezone

Resummation of threshold logarithms in deeply-virtual Compton scattering

May 25, 2023, 11:50 AM
Auditorium Joliot Curie (IJCLab, Orsay (FRANCE))

Auditorium Joliot Curie

IJCLab, Orsay (FRANCE)

15, Rue G. Clemenceau 91405 Orsay Cedex FRANCE


Jakob Schönleber (University of Regensburg)


I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to αsnx±ξ \frac{\alpha_s^n}{x\pm \xi } x±ξαsn​​ log (ξ±x2ξ)k {\left(\frac{\xi \pm x}{2\xi}\right)}^k (2ξξ±x​)k in the quark coefficient function of deeply-virtual-Compton scattering and the pion-photon transition form factor in momentum space. The resummation is performed at the next-to-next-to-leading logarithmic accuracy. The key observation is that the quark coefficient function itself factorizes in the x → ±ξ limit, which allows for a resummation using renormalization group equations. A preliminary numerical analysis suggests that the corrections due to resummation for the quark contribution might be small.

Primary author

Jakob Schönleber (University of Regensburg)

Presentation materials