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@INPROCEEDINGS{Can:634228,
author = {Can, K. U. and Horsley, R. and Rakow, P. E. L. and
Schierholz, G. and Stüben, H. and Young, R. D. and Zanotti,
J. M.},
collaboration = {{QCDSF Collaboration}},
title = {{T}owards nucleon structure function moments and parton
momentum fractions from lattice {QCD}},
reportid = {PUBDB-2025-02476, arXiv:2505.04033. ADP-25-18/T1280.
DESY-25-069. LTH 1400. PoS(QCHSC24)085},
pages = {14},
year = {2024},
note = {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},
abstract = {We calculate the lowest even isovector moment of the $F_2$
structure function in $2+1$-flavour lattice QCD with varying
quark masses corresponding to $m_\pi \approx [410, 360, 300]
\; {\rm MeV}$, at a fixed volume of $V = 48^3 \times 96$ and
coupling $\beta = 5.65$ ($a = 0.068(3) \, {\rm fm}$). 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 $\sim 10\\%$
uncertainty at fixed $Q^2$. By analysing the $Q^2$
dependence of the moments at the $SU(3)$ symmetric point
($m_\pi \approx 410 \; {\rm MeV}$), we separate the leading-
and higher-twist contributions and estimate the parton
momentum fraction, $\langle x \rangle_{u-d}$, which agrees
with existing results.},
month = {Aug},
date = {2024-08-19},
organization = {16th Conference on Quark Confinement
and the Hadron Spectrum, Cairns
(Australia), 19 Aug 2024 - 24 Aug 2024},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611)},
pid = {G:(DE-HGF)POF4-611},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)8},
eprint = {2505.04033},
howpublished = {arXiv:2505.04033},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2505.04033;\%\%$},
url = {https://bib-pubdb1.desy.de/record/634228},
}