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

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arxiv 2110.01310 v1 pith:QG4XLA73 submitted 2021-10-04 hep-lat hep-phhep-thnucl-th

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

classification hep-lat hep-phhep-thnucl-th
keywords functionsmomentsnucleonstructurecomptonlatticeacrossamplitude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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