Journal Article PUBDB-2023-01875

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Moments and power corrections of longitudinal and transverse proton structure functions from lattice QCD

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2023
Inst. Woodbury, NY

Physical review / D 107(5), 054503 () [10.1103/PhysRevD.107.054503]
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Report No.: ADP-22-27/T1198; DESY-22-145; LTH 1307; arXiv:2209.04141

Abstract: We present a simultaneous extraction of the moments of $F_2$ and $F_L$ structure functions of the proton for a range of photon virtuality, $Q_2$. This is achieved by computing the forward Compton amplitude on the lattice utilizing the second-order Feynman-Hellmann theorem. Our calculations are performed on configurations with two different lattice spacings and volumes, all at the $SU(3)$ symmetric point. We find the moments of $F_2$ and $F_L$ in good agreement with experiment. Power corrections turn out to be significant. This is the first time the $Q^2$ dependence of the lowest moment of $F_2$ has been quantified.

Keyword(s): p: structure function ; lattice field theory ; transverse ; photon ; longitudinal

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Note: 14 pages, 11 figures, 2 tables. Version to appear in PRD

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2023
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 Record created 2023-04-19, last modified 2025-07-15


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