Abstract
Double parton distributions satisfy the same evolution equations as ordinary single-parton densities, provided that the colours of the two partons are uncorrelated. The situation is different for colour correlated parton pairs, where evolution to higher scales results in a suppression by Sudakov double logarithms. We perform a detailed study of evolution for colour correlated double parton distributions, both analytically and numerically, at lowest order and beyond. When the two observed partons originate from the perturbative splitting of a single one, the Sudakov suppression of colour correlations at the cross section level is not as strong as one might expect.
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Acknowledgments
It is a pleasure to thank Tom Cridge, Jonathan Gaunt, Oskar Grocholski, and Ignazio Scimemi for discussions about various aspects of this work. The numerical studies have been performed using the ChiliPDF library [34, 75], which is under development. We gratefully acknowledge the contributions of our collaborators Oskar Grocholski, Riccardo Nagar, and Frank Tackmann to this project. The Feynman graphs in this manuscript were produced with JaxoDraw [76, 77].
This work is in part supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) — grant number 409651613 (Research Unit FOR 2926) and grant number 491245950. M.D. thanks the Erwin-Schrödinger International Institute for Mathematics and Physics at the University of Vienna for partial support during the Programme “Quantum Field Theory at the Frontiers of the Strong Interactions”, July 31 to September 1, 2023.
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Diehl, M., Fabry, F. & Plößl, P. Evolution of colour correlated double parton distributions: a quantitative study. J. High Energ. Phys. 2024, 229 (2024). https://doi.org/10.1007/JHEP02(2024)229
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DOI: https://doi.org/10.1007/JHEP02(2024)229