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000634228 0247_ $$2arXiv$$aarXiv:2505.04033
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000634228 041__ $$aEnglish
000634228 088__ $$2arXiv$$aarXiv:2505.04033
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000634228 1001_ $$0P:(DE-H253)PIP1018315$$aCan, K. U.$$b0$$eCorresponding author
000634228 1112_ $$a16th Conference on Quark Confinement and the Hadron Spectrum$$cCairns$$d2024-08-19 - 2024-08-24$$gQCHSC 2024$$wAustralia
000634228 245__ $$aTowards nucleon structure function moments and parton momentum fractions from lattice QCD
000634228 260__ $$c2024
000634228 300__ $$a14
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000634228 3367_ $$0PUB:(DE-HGF)8$$2PUB:(DE-HGF)$$aContribution to a conference proceedings$$bcontrib$$mcontrib$$s1753179092_643023
000634228 500__ $$a14 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
000634228 520__ $$aWe calculate the lowest even isovector moment of the $F_2$ structure function in $2+1$-flavour lattice QCD with varying quark masses corresponding to $m_\pi \approx [410, 360, 300] \; {\rm MeV}$, at a fixed volume of $V = 48^3 \times 96$ and coupling $\beta = 5.65$ ($a = 0.068(3) \, {\rm fm}$). We directly compute the physical Compton amplitude using the Feynman-Hellmann approach and extract moments of the physical structure function. We report on the quark-mass dependence of the lowest isovector moment and estimate its value at the physical quark-mass point with $\sim 10\%$ uncertainty at fixed $Q^2$. By analysing the $Q^2$ dependence of the moments at the $SU(3)$ symmetric point ($m_\pi \approx 410 \; {\rm MeV}$), we separate the leading- and higher-twist contributions and estimate the parton momentum fraction, $\langle x \rangle_{u-d}$, which agrees with existing results.
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000634228 7001_ $$aHorsley, R.$$b1
000634228 7001_ $$aRakow, P. E. L.$$b2
000634228 7001_ $$0P:(DE-H253)PIP1001621$$aSchierholz, G.$$b3
000634228 7001_ $$aStüben, H.$$b4
000634228 7001_ $$aYoung, R. D.$$b5
000634228 7001_ $$aZanotti, J. M.$$b6
000634228 7001_ $$aQCDSF Collaboration$$b7$$eCollaboration Author
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