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arxiv: 2405.01162 · v2 · pith:IKC7RC7Unew · submitted 2024-05-02 · ✦ hep-ph

Numerical implementation of evolution equations for twist-3 collinear PDFs

classification ✦ hep-ph
keywords twist-3evolutionpdfscollinearequationsnumericalvariablesbeen
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Twist-3 collinear parton distribution functions (PDFs) are matrix elements of quark-gluon-quark or three-gluons light-cone operators. They depend on three momentum fraction variables, which are restricted to a hexagon region, and the evolution kernels are defined via two-dimensional convolution in these variables. We present the numerical realisation of the twist-3 evolution equations at leading order in the strong coupling for all kinds of twist-3 PDF (quark, gluon, chiral-even/odd, etc). We provide two independent codes (in C and Fortran) that have been extensively cross-checked, and are ready-to-use. We supplement the paper with a review of known properties of twist-3 PDFs.

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  1. Phenomenology of genuine twist-three distributions from a global QCD analysis

    hep-ph 2026-07 unverdicted novelty 5.0

    Global QCD analysis extracts genuine twist-three PDFs from g2, d2 and SIDIS asymmetries, confirming their universality and factorization validity.