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 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.

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

References in corpus (26)

• LHAPDF6: parton density access in the LHC precision era
• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• QCDNUM: Fast QCD Evolution and Convolution
• The four jet production at LHC and Tevatron in QCD
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• Double Parton Scattering Singularity in One-Loop Integrals
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• The Logarithmic Contributions to the O(α_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering
• Double Parton Correlations in the Bag Model
• The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
• EKO: Evolution Kernel Operators
• Double parton correlations and constituent quark models: a Light Front approach to the valence sector
• Correlations in Double Parton Distributions: Perturbative and Non-Perturbative effects
• Electroweak boson production in double parton scattering
• Relativistic effects in model calculations of double parton distribution function
• ChiliPDF: Chebyshev Interpolation for Parton Distributions
• Measurement of double-parton scattering in inclusive production of four jets with low transverse momentum in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Combining single and double parton scatterings in a parton shower
• Two-loop splitting in double parton distributions: the colour non-singlet case
• Double parton distributions in the nucleon from lattice QCD
• Confronting same-sign W-boson production with parton correlations
• Momentum sum rule and factorization of double parton distributions
• Evolution and interpolation of double parton distributions using Chebyshev grids
• Double parton scattering in four-jet production in proton-proton collisions at the LHC
• Two-loop evolution kernels for colour dependent double parton distributions

Cited by in corpus (4)

• Evolution and interpolation of double parton distributions using Chebyshev grids
• Quark mass effects in double parton distributions
• Double parton distributions of the proton from basis light-front quantization
• A semi-analytical $x$-space solution for parton evolution -- Application to non-singlet and singlet DGLAP equation