DGLAP evolution of parton distributions at approximate N³LO

2023/06/27 by Felix Hekhorn, Hekhorn, Felix, Giacomo Magni +1
Computer Science · Physics and Astronomy · #Advanced Data Storage Technologies #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2306.15294

openalex publication_date 2023/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present recent progress towards a global determination of parton distribution functions (PDFs) at approximate N³LO (aN³LO) accuracy within the NNPDF framework. We construct a parametrisation of the O(α_s⁴) QCD splitting functions and anomalous dimensions reproducing all known exact results, estimate the associated missing and incomplete higher order uncertainties (MHOU and IHOU, respectively), and implement it in the open-source DGLAP code EKO enabling PDFs to be evolved at aN³LO accuracy in the NNPDF fitting framework. We compare aN³LO calculation of splitting functions with the results of lower perturbative orders and quantify the impact of the various sources of theoretical uncertainties.

Related

• The Path to N³LO Parton Distributions
• Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO
• Parton Distribution Functions and Their Impact on Precision of the Current Theory Calculations
• DGLAP evolution at N³LO with the Candia algorithm
• NNPDF4.0 aN³LO PDFs with QED corrections