Fast evolution of parton distributions

Abstract

I report on a numerical program for the evolution of parton distributions. The program uses the Mellin-transform method with an optimized contour. Due to this optimized contour the program needs only a few evaluations of the integrand and is therefore extremely fast. In addition, the program can also be used to reproduce the results of the x-space method.

Latex, 16 pages, references added

References in corpus (1)

• A Matrix Approach to Numerical Solution of the DGLAP Evolution Equations

Cited by in corpus (20)

• Parton distributions with QED corrections
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• APFEL: A PDF Evolution Library with QED corrections
• A Higher Order Perturbative Parton Evolution Toolkit (HOPPET)
• Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS
• CT14QED PDFs from Isolated Photon Production in Deep Inelastic Scattering
• QED corrections to the evolution of parton distributions
• Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions
• On "dual" parametrizations of generalized parton distributions
• ChiliPDF: Chebyshev Interpolation for Parton Distributions
• Markovian Monte Carlo program EvolFMC v.2 for solving QCD evolution equations
• Evolution and interpolation of double parton distributions using Chebyshev grids
• Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals
• Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
• Small-x behavior of non-singlet spin structure function and Bjorken sum rule with pQCD correction up to NNLO and Higher twist correction
• A semi-analytical $x$-space solution for parton evolution -- Application to non-singlet and singlet DGLAP equation
• Global Analyses of Generalized Parton Distributions with Diverse PDF Inputs
• Semi-Exclusive Heavy Quark Production in Charged-Current Deep Inelastic Scattering
• On QCD analysis of stucture function $F_2^{\gamma }$ in alternative approach
• Analytical models of the Proton Structure Function and the gluon distribution at small x beyond leading order