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Schoenleber, Jakob

Resummation of threshold logarithms in deeply-virtual Compton scattering

Article

Schoenleber, Jakob (2023) Resummation of threshold logarithms in deeply-virtual Compton scattering. Journal of High Energy Physics 2023 (2).

DOI to cite this document: 10.5283/epub.55505


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 ...

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.



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Details

Item typeArticle
Journal or Publication TitleJournal of High Energy Physics
PublisherSPRINGER
Open Access TypeSCOAP3
Place of PublicationNEW YORK
Volume2023
Number of Issue or Book Chapter2
Date21 February 2023
Date of publication09 Feb 2024 06:52
InstitutionsPhysics > Institute of Theroretical Physics
Identification Number
ValueType
10.1007/JHEP02(2023)207DOI
KeywordsRENORMALIZATION; Factorization; Renormalization Group; Resummation; Specific QCD Phenomenology
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-555053
Item ID55505

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