Using the Feynman-Hellmann approach in lattice QCD, the authors estimate the nucleon's isovector parton momentum fraction <x>_{u-d}=0.141(8) at mu^2=4 GeV^2 and the physical F2 moment 0.177(22) at Q^2 ~ 5 GeV^2, consistent with the FLAG average.
The Compton amplitude and nucleon structure functions
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abstract
Structure functions are the essential objects for understanding the deep inelastic scattering processes, providing valuable insight into the partonic structure of hadrons. A direct calculation of the Compton amplitude provides a complementary way to accessing the structure functions, circumventing the operator mixing and renormalisation issues of the standard operator product expansion approach. We describe the connection between the Compton amplitude and the structure functions, and describe a Feynman-Hellmann approach to calculate the amplitude directly. As an application, we extract the moments of transverse and longitudinal proton structure functions and study the power corrections.
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Towards nucleon structure function moments and parton momentum fractions from lattice QCD
Using the Feynman-Hellmann approach in lattice QCD, the authors estimate the nucleon's isovector parton momentum fraction <x>_{u-d}=0.141(8) at mu^2=4 GeV^2 and the physical F2 moment 0.177(22) at Q^2 ~ 5 GeV^2, consistent with the FLAG average.