%0 Conference Paper
%A Can, K. U.
%A Horsley, R.
%A Rakow, P. E. L.
%A Schierholz, G.
%A Stüben, H.
%A Young, R. D.
%A Zanotti, J. M.
%T Towards nucleon structure function moments and parton momentum fractions from lattice QCD
%N arXiv:2505.04033
%M PUBDB-2025-02476
%M arXiv:2505.04033
%M ADP-25-18/T1280
%M DESY-25-069
%M LTH 1400
%M PoS(QCHSC24)085
%P 14
%D 2024
%Z 14 pages, 4 figues. Contribution to the the XVIth Quark Confinement and the Hadron Spectrum Conference (QCHSC24) 19-24 August, 2024 Cairns Convention Centre, Cairns, Queensland, Australia   preprint:626424
%X We calculate the lowest even isovector moment of the F<sub>2</sub> structure function in 2+1-flavour lattice QCD with varying quark masses corresponding to m<sub>π</sub>  ≈ [410, 360, 300]   MeV, at a fixed volume of V = 48<sup>3</sup> ×96 and coupling β =  5.65 (a = 0.068(3)  fm). We directly compute the physical Compton amplitude using the Feynman-Hellmann approach and extract moments of the physical structure function. We report on the quark-mass dependence of the lowest isovector moment and estimate its value at the physical quark-mass point with  ∼ 10% uncertainty at fixed Q<sup>2</sup>. By analysing the Q<sup>2</sup> dependence of the moments at the SU(3) symmetric point (m<sub>π</sub>  ≈ 410   MeV), we separate the leading- and higher-twist contributions and estimate the parton momentum fraction, 〈x 〉<sub>u−d</sub>, which agrees with existing results.
%B 16th Conference on Quark Confinement and the Hadron Spectrum
%C 19 Aug 2024 - 24 Aug 2024, Cairns (Australia)
Y2 19 Aug 2024 - 24 Aug 2024
M2 Cairns, Australia
%F PUB:(DE-HGF)8
%9 Contribution to a conference proceedings
%U https://bib-pubdb1.desy.de/record/634228