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Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}'$/SMOM scheme
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abstract
We study the renormalization of the matrix elements of the twist-two non-singlet bilinear quark operators, contributing to the $n=2$ and $n=3$ moments of the structure functions, at next-to-next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the $\overline{\rm MS}$ scheme and the regularization-invariant symmetric momentum subtraction (RI/SMOM, RI${}'$/SMOM) schemes. The obtained results can be used to reduce errors in determinations of moments of structure functions from lattice QCD simulations. The results are given in Landau gauge.
Forward citations
Cited by 2 Pith papers
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The nucleon unpolarized generalized form factors and Mellin moments up to fourth order
First lattice-QCD extraction of nucleon unpolarized Mellin moments through fourth order at physical pion mass, with GFF Q^{2} dependence and a reconstructed isovector valence PDF.
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RI/SMOM renormalization for lattice QCD: bilinear and three-quark operators
A review of high-order RI'/SMOM-to-MS matching factors for lattice QCD bilinear and three-quark operators, including unpublished N=1 results.
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