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arXiv · 2305.04845

Evolution and interpolation of double parton distributions using Chebyshev grids

Markus Diehl·Riccardo Nagar·Peter Ploessl·Frank J. Tackmann
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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.

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Markus Diehl, Riccardo Nagar, Peter Ploessl, Frank J. Tackmann. 2023-05-08. Evolution and interpolation of double parton distributions using Chebyshev grids. https://doi.org/10.1140/epjc%2Fs10052-023-11692-8

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