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. Young and
J. Zanotti*: corresponding author
Pre-published on:
May 16, 2022
Published on:
July 08, 2022
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.
DOI: https://doi.org/10.22323/1.396.0324
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