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arXiv · 2209.09015

Resummation of threshold logarithms in deeply-virtual Compton scattering

Jakob Schoenleber
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Abstract

I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\frac{α_s^n}{x \pm ξ} \log (\frac{ξ\pm x}{2ξ})^k$ 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 $x \rightarrow \pm ξ$ 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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Jakob Schoenleber. 2023-02-23. Resummation of threshold logarithms in deeply-virtual Compton scattering. https://doi.org/10.1007/jhep02(2023)207

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