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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.
Involved Institutions
Details
| Item type | Article | ||||
| Journal or Publication Title | Journal of High Energy Physics | ||||
| Publisher | SPRINGER | ||||
| Open Access Type | SCOAP3 | ||||
| Place of Publication | NEW YORK | ||||
| Volume | 2023 | ||||
| Number of Issue or Book Chapter | 2 | ||||
| Date | 21 February 2023 | ||||
| Date of publication | 09 Feb 2024 06:52 | ||||
| Institutions | Physics > Institute of Theroretical Physics | ||||
| Identification Number |
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| Keywords | RENORMALIZATION; Factorization; Renormalization Group; Resummation; Specific QCD Phenomenology | ||||
| Dewey Decimal Classification | 500 Science > 530 Physics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-555053 | ||||
| Item ID | 55505 |
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