Journal Article PUBDB-2025-00462

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The two-loop coefficient functions for double deeply virtual Compton scattering

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2025
Springer Heidelberg

Journal of high energy physics 01(1), 069 () [10.1007/JHEP01(2025)069]
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Report No.: DESY-24-178; arXiv:2411.14985

Abstract: Making use of conformal symmetry of large-n$_{f}$ QCD in d = 4 – 2ϵ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in general kinematics with two different photon virtualities. This result is necessary for the description of the double deeply virtual Compton scattering to the next-to-next-to-leading order accuracy, but is also interesting for a range of other two-photon processes. We present analytic expression for the coefficient function in momentum fraction space in the $ \overline{\textrm{MS}} $ scheme and study its numerical impact on the Compton form factors for a simple model of the generalized parton distributions. The calculated corrections turn out to be large and are significant for the kinematics of proposed experiments.

Keyword(s): Factorization ; Renormalization Group ; Higher-Order Perturbative Calculations ; Scale and Conformal Symmetries ; Specific QCD Phenomenology

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Note: 38 pages, 2 figures. arXiv admin note: text overlap with arXiv:2007.06348

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)430824754 - Neue Zugänge zu semi-inklusiven Streuprozessen am Electron-Ion-Collider (EIC) (430824754) (430824754)
  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. DORIS Beamline G3 (DORIS III)

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The two-loop coefficient function for double deeply virtual Compton scattering
[10.3204/PUBDB-2024-06709]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


 Record created 2025-01-27, last modified 2025-07-23


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