Preprint

PUBDB-2025-01227

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Three-loop evolution kernel for transversity operator

Manashov, A. N.Extern* ; Moch, S.Extern* ; Shumilov, L. A. (Corresponding author)Extern*

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-01227

Report No.: DESY-24-103; arXiv:2407.12696

Abstract: We calculate quantum corrections to the symmetry generators for the transversity operators in quantum chromodynamics (QCD) in the two-loop approximation. Using this result, we obtain the evolution kernel for the corresponding operators at three loops. The explicit expression for the anomalous dimension matrix in the Gegenbauer basis is given for the first few operators.

Keyword(s): Higher-Order Perturbative Calculations ; Parton Distributions ; Renormalization Group ; Scale and Conformal Symmetries

Note: This work has been supported by the DFG through the Research Unit FOR 2926, Next Generation pQCD for Hadron Structure: Preparing for the EIC, project number 40824754, DFG grant MO 1801/4-2 and the ERC Advanced Grant 101095857 Conformal-EIC.

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Contributing Institute(s):

1. Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)409651613 - FOR 2926: Next Generation Perturbative QCD for Hadron Structure: Preparing for the Electron-Ion Collider (409651613) (409651613)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Manashov, A. N.Extern* ; Moch, S.Extern* ; Shumilov, L. A. (Corresponding author)Extern*
Three-loop evolution kernel for transversity operator
Journal of high energy physics 09(9), 192 (2024) [10.1007/JHEP09(2024)192]2024     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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