Evolution and interpolation of double parton distributions using Chebyshev grids
Abstract Double parton distributions are the nonperturbative ingredients needed for computing double parton scattering processes in hadron–hadron collisions. They describe a variety of correlations between two partons in a hadron and depend on a large number of variables, including two independent r...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11692-8 |
| _version_ | 1797774034526535680 |
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| author | Markus Diehl Riccardo Nagar Peter Plößl Frank J. Tackmann |
| author_facet | Markus Diehl Riccardo Nagar Peter Plößl Frank J. Tackmann |
| author_sort | Markus Diehl |
| collection | DOAJ |
| description | Abstract Double parton distributions are the nonperturbative ingredients needed for computing double parton scattering processes in hadron–hadron collisions. They describe a variety of correlations between two partons in a hadron and depend on a large number of variables, including two independent renormalization scales. This makes it challenging to compute their scale evolution with satisfactory numerical accuracy while keeping computational costs at a manageable level. We show that this problem can be solved using interpolation on Chebyshev grids, extending the methods we previously developed for ordinary single-parton distributions. Using an implementation of these methods in the C++ library ChiliPDF, we study for the first time the evolution of double parton distributions beyond leading order in perturbation theory. |
| first_indexed | 2024-03-12T22:14:17Z |
| format | Article |
| id | doaj.art-8f116bcf3c3549239f6e2d182bcb58e7 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-12T22:14:17Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-8f116bcf3c3549239f6e2d182bcb58e72023-07-23T11:23:22ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-06-0183613110.1140/epjc/s10052-023-11692-8Evolution and interpolation of double parton distributions using Chebyshev gridsMarkus Diehl0Riccardo Nagar1Peter Plößl2Frank J. Tackmann3Deutsches Elektronen-Synchrotron DESYUniversità degli Studi di Milano-Bicocca and INFN, Sezione di Milano-BicoccaDeutsches Elektronen-Synchrotron DESYDeutsches Elektronen-Synchrotron DESYAbstract Double parton distributions are the nonperturbative ingredients needed for computing double parton scattering processes in hadron–hadron collisions. They describe a variety of correlations between two partons in a hadron and depend on a large number of variables, including two independent renormalization scales. This makes it challenging to compute their scale evolution with satisfactory numerical accuracy while keeping computational costs at a manageable level. We show that this problem can be solved using interpolation on Chebyshev grids, extending the methods we previously developed for ordinary single-parton distributions. Using an implementation of these methods in the C++ library ChiliPDF, we study for the first time the evolution of double parton distributions beyond leading order in perturbation theory.https://doi.org/10.1140/epjc/s10052-023-11692-8 |
| spellingShingle | Markus Diehl Riccardo Nagar Peter Plößl Frank J. Tackmann Evolution and interpolation of double parton distributions using Chebyshev grids European Physical Journal C: Particles and Fields |
| title | Evolution and interpolation of double parton distributions using Chebyshev grids |
| title_full | Evolution and interpolation of double parton distributions using Chebyshev grids |
| title_fullStr | Evolution and interpolation of double parton distributions using Chebyshev grids |
| title_full_unstemmed | Evolution and interpolation of double parton distributions using Chebyshev grids |
| title_short | Evolution and interpolation of double parton distributions using Chebyshev grids |
| title_sort | evolution and interpolation of double parton distributions using chebyshev grids |
| url | https://doi.org/10.1140/epjc/s10052-023-11692-8 |
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