Abstract
AbstractTwist-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.
Funder
Europa Excelencia
Deutsche Forschungsgemeinschaft
Atracción de Talento Investigador
Publisher
Springer Science and Business Media LLC
Reference42 articles.
1. honeycomb. https://github.com/QCDatHT/honeycomb release v1.0: https://zenodo.org/doi/10.5281/zenodo.11102676
2. Snowflake. https://github.com/VladimirovAlexey/Snowflake release v1.0: https://doi.org/10.5281/zenodo.11070767. Accessed: 2024-04-26
3. V.N. Gribov, L.N. Lipatov, Deep inelastic e p scattering in perturbation theory. Sov. J. Nucl. Phys. 15, 438–450 (1972)
4. G. Altarelli, G. Parisi, Asymptotic freedom in parton language. Nucl. Phys. B 126, 298–318 (1977). https://doi.org/10.1016/0550-3213(77)90384-4
5. M. Anselmino, A. Efremov, E. Leader, The Theory and phenomenology of polarized deep inelastic scattering. Phys. Rep. 261, 1–124 (1995). https://doi.org/10.1016/0370-1573(95)00011-5. arXiv:hep-ph/9501369 [Erratum: Phys. Rep. 281, 399–400 (1997)]