Journal of High Energy Physics (Feb 2023)

Resummation of threshold logarithms in deeply-virtual Compton scattering

  • J. Schoenleber

DOI
https://doi.org/10.1007/JHEP02(2023)207
Journal volume & issue
Vol. 2023, no. 2
pp. 1 – 19

Abstract

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Abstract I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to α s n x ± ξ $$ \frac{\alpha_s^n}{x\pm \xi } $$ log ξ ± x 2 ξ k $$ {\left(\frac{\xi \pm x}{2\xi}\right)}^k $$ 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.

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