Abstract
We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions hL(x) and e(x), and also the twist-two transversity distribution δq(x). The corresponding factorized expressions are derived in terms of the twist-two and twist-three collinear distributions to one-loop accuracy. The results are presented both in position space, as the factorization theorem for Ioffe-time distributions, and in momentum space, for quasi- and pseudo-distributions. We demonstrate that the twist-two part of the hL quasi(pseudo)-distribution can be separated from the twist-three part by virtue of an exact Jaffe-Ji-like relation.
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Braun, V.M., Ji, Y. & Vladimirov, A. QCD factorization for chiral-odd parton quasi- and pseudo-distributions. J. High Energ. Phys. 2021, 87 (2021). https://doi.org/10.1007/JHEP10(2021)087
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DOI: https://doi.org/10.1007/JHEP10(2021)087