Resummation of threshold logarithms in deeply-virtual Compton scattering

Schoenleber, Jakob (2023) Resummation of threshold logarithms in deeply-virtual Compton scattering. JOURNAL OF HIGH ENERGY PHYSICS (2): 207. ISSN 1029-8479

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Abstract

I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to alpha(n)( s)/ x +/-xi log( xi +/- 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 -> +/- 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.

Item Type: Article
Uncontrolled Keywords: RENORMALIZATION; Factorization; Renormalization Group; Resummation; Specific QCD Phenomenology
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 05 Mar 2024 09:08
Last Modified: 05 Mar 2024 09:08
URI: https://pred.uni-regensburg.de/id/eprint/59279

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