Abstract

I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to frac{alpha_s^n}{xpm xi } log {left(frac{xi pm x}{2xi}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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