English

Evolution and interpolation of double parton distributions using Chebyshev grids

High Energy Physics - Phenomenology 2023-07-12 v2

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.

Keywords

Cite

@article{arxiv.2305.04845,
  title  = {Evolution and interpolation of double parton distributions using Chebyshev grids},
  author = {Markus Diehl and Riccardo Nagar and Peter Ploessl and Frank J. Tackmann},
  journal= {arXiv preprint arXiv:2305.04845},
  year   = {2023}
}

Comments

48 pages, 17 figures. v2: added figure 3, added clarifications, corrected typos

R2 v1 2026-06-28T10:28:54.164Z