https://doi.org/10.1140/epjc/s10052-024-13060-6
Regular Article - Theoretical Physics
Numerical implementation of evolution equations for twist-3 collinear PDFs
1
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
2
Dipartimento di Fisica, Università di Pavia, via Bassi 6, 27100, Pavia, Italy
3
INFN Sezione di Pavia, via Bassi 6, 27100, Pavia, Italy
4
Departamento de Física Teórica and IPARCOS, Universidad Complutense de Madrid, 28040, Madrid, Spain
Received:
22
May
2024
Accepted:
21
June
2024
Published online:
23
July
2024
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.
DESY-24-060
IPARCOS-UCM-24-025.
© The Author(s) 2024
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