Journal Article PUBDB-2021-01451

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Lattice QCD evaluation of the Compton amplitude employing the Feynman-Hellmann theorem

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2021
Inst. Melville, NY

Physical review / D 102(11), 114505 () [10.1103/PhysRevD.102.114505]
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Report No.: ADP-20-16/T1126; DESY-20-111; Liverpool LTH 1238; arXiv:2007.01523

Abstract: The forward Compton amplitude describes the process of virtual photon scattering from a hadron and provides an essential ingredient for the understanding of hadron structure. As a physical amplitude, the Compton tensor naturally includes all target mass corrections and higher twist effects at a fixed virtuality, $Q^2$. By making use of the second-order Feynman-Hellmann theorem, the nucleon Compton tensor is calculated in lattice QCD at an unphysical quark mass across a range of photon momenta $3 \lesssim Q^2 \lesssim 7$ GeV$^2$. This allows for the $Q^2$ dependence of the low moments of the nucleon structure functions to be studied in a lattice calculation for the first time. The results demonstrate that a systematic investigation of power corrections and the approach to parton asymptotics is now within reach.

Keyword(s): nucleon: structure function ; target: mass: correction ; effect: higher-twist ; photon: scattering ; photon: momentum ; photon: virtual ; quark: mass ; lattice ; hadron ; lattice field theory ; structure ; parton

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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 2021
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