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

Understand

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.