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Resummation of threshold logarithms in deeply-virtual Compton scattering
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abstract
I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\frac{\alpha_s^n}{x \pm \xi} \log (\frac{\xi \pm x}{2\xi})^k$ 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 $x \rightarrow \pm \xi$ 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.
Forward citations
Cited by 4 Pith papers
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A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.
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The two-loop coefficient functions for double deeply virtual Compton scattering
The paper derives the two-loop coefficient functions for the operator product expansion of two electromagnetic currents in general kinematics, the central ingredient for next-to-next-to-leading-order DDVCS predictions.
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Threshold resummation for double-deeply virtual Compton scattering
A QCD factorization and resummation formula for the threshold logarithms in double-deeply virtual Compton scattering is derived, and its two-loop leading-power coefficient function agrees with an independent explicit ...
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