Preprint PUBDB-2025-01306

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Constraints for twist-two alien operators in QCD

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2024

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Report No.: DESY-24-108; ZU-TH 43/24; arXiv:2409.02870

Abstract: Parton evolution equations in QCD are controlled by the anomalous dimensions of gauge-invariant twist-two spin-N quark and gluon operators. Under renormalization, these mix with gauge-variant operators of the same quantum numbers, referred to as alien operators. Our work addresses the systematic study of these alien operators at arbitrary spin N, using generalized BRST symmetry relations to derive their couplings and Feynman rules at all values of N. We observe how the all-N structure of the generalized (anti-)BRST constraints relates the couplings of alien operators with n + 1 gluons to those with n gluons. Realizing a bootstrap, we present all one-loop results necessary for performing the operator renormalization up to four loops in QCD.

Keyword(s): Higher-Order Perturbative Calculations ; Parton Distributions ; Renormalization and Regularization

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Note: 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, the ERC Advanced Grant 101095857 Conformal-EIC;

Contributing Institute(s):
  1. Uni Hamburg / Theorie (UNI/TH)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. QCDchallenge - QCD challenges in precision physics at the LHC (101104792) (101104792)
  3. 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. LHC: ATLAS
  2. LHC: CMS
  3. LHC: LHCb

Appears in the scientific report 2024
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Creative Commons Attribution CC BY 4.0 ; OpenAccess ; Published
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http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article  ;  ;  ;
Constraints for twist-two alien operators in QCD
Journal of high energy physics 11(11), 080 () [10.1007/JHEP11(2024)080]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2025-04-09, last modified 2025-04-16


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