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

paper

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

arXiv:2110.01310

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.

7 pages, 3 figures. Contribution to the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@Massachusetts Institute of Technology