Resummation of threshold logarithms in deeply-virtual Compton scattering

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 $x\to \pm \xi$ 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.

arXiv commentPublished version

References in corpus (13)

• Nonforward Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• The renormalization of the axial anomaly in dimensional regularization
• Hadronic top-quark pair production with NNLL threshold resummation
• Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering
• Proof of Factorization for Deeply Virtual Compton Scattering in QCD
• One-Loop Corrections and All Order Factorization In Deeply Virtual Compton Scattering
• Quantifying Comparisons of Threshold Resummations
• Next-to-Next-to-Leading-Order QCD Prediction for the Photon-Pion Form Factor
• Two-loop coefficient function for DVCS: Vector contributions
• The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
• Resumming soft and collinear contributions in deeply virtual Compton scattering
• Three-loop off-forward evolution kernel for axial-vector operators in Larin's scheme

Cited by in corpus (2)

• Chiral and trace anomalies in Deeply Virtual Compton Scattering II: QCD factorization and beyond
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