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arXiv · 2110.01310

Investigating the low moments of the nucleon structure functions in lattice QCD

K. U. Can·A. Hannaford-Gunn·E. Sankey·R. Horsley·Y. Nakamura·H. Perlt·P. E. L. Rakow·G. Schierholz·H. Stuben·R. D. Young·J. M. Zanotti
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Abstract

We highlight QCDSF/UKQCD Collaboration's recent developments on computing the Compton amplitude directly via an implementation of the second order Feynman-Hellmann theorem. As an application, we compute the nucleon Compton tensor across a range of photon virtuality at an unphysical quark mass. This enables us to study the $Q^2$ dependence of the low moments of the nucleon structure functions in a lattice calculation for the first time. We present some selected results for the moments of the $F_1$, $F_2$ and $F_L$ structure functions and discuss their implications.

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K. U. Can, A. Hannaford-Gunn, E. Sankey, R. Horsley, Y. Nakamura, H. Perlt, P. E. L. Rakow, G. Schierholz, H. Stuben, R. D. Young, J. M. Zanotti. 2021-10-04. Investigating the low moments of the nucleon structure functions in lattice QCD. https://arxiv.org/abs/2110.01310

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