Work

DGLAP evolution at N 3 LO with the candia algorithm

Year: 2026

Type: article

Abstract: We present a generalization of the x -space andia algorithm to next-to-next-to-next-to-leading order ( N 3 LO ) accuracy in quantum chromodynamics (QCD) for solving the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for unpolarized parton densities in the nucleon. The algorithm is based on logarithmic expansions of the solution and can be extended to all orders in QCD. An expansion equivalent to the exact solution of the DGLAP equation at N 3 LO is presented in the non-singlet sector. Results for approximate N 3 LO parton distribution functions, evolved using the most recent approximations to the N 3 LO DGLAP splitting functions, are provided for benchmarking. The new version of the code, andia-v2, is publicly available [itub, andia-v2, (2025).].

Source: Physical review. D/Physical review. D.

DOI: 10.1103/p6vv-8zph

Authors: Casey Hampson, Marco Guzzi

Institution: Kennesaw State University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, King Saud University

Award: Theoretical Calculations for Particle Physics at Hadron Colliders