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 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.
Highlights
The great success of QCD in the description of the structure of hadrons relies on the principle of factorization
QCD factorization and scaling violation manifest themselves in the well-known Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equation [1, 2, 3] and allow for nonperturbative information, on how the parton momenta are distributed inside the hadrons and how the hadron spins are
The RI/SMOM to MS conversion functions of non-singlet bilinear quark operators without derivatives have been considered in Refs. [25, 27] at one loop p+q p q and in Refs. [26, 28, 29] at two loops
Summary
The great success of QCD in the description of the structure of hadrons relies on the principle of factorization. Such operators, contributing to the nth moment of a distribution, are given by symmetric traceless combinations, like The RI/SMOM to MS conversion functions of non-singlet bilinear quark operators without derivatives have been considered in Refs.
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