Numerical implementation of evolution equations for twist-3 collinear PDFs
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929414707609600 |
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| author | Rodini, Simone Rossi, Lorenzo Vladimirov, Alexey |
| author_facet | Rodini, Simone Rossi, Lorenzo Vladimirov, Alexey |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01162 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical implementation of evolution equations for twist-3 collinear PDFs Rodini, Simone Rossi, Lorenzo Vladimirov, Alexey High Energy Physics - Phenomenology 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. |
| title | Numerical implementation of evolution equations for twist-3 collinear PDFs |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.01162 |