Casey Hampson | Searcharxiv

arXiv2026

Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space

We present Candia-v2, an open-source software package that generalizes the $x$-space Candia algorithm to next-to-next-to-next-to-leading order (N$^{3}$LO) accuracy in Quantum Chromodynamics (QCD). The code solves the DGLAP evolution equations for unpolarized nucleon parton densities using a highly efficient logarithmic expansion technique that can be systematically extended to all orders in QCD. Candia-v2 supersedes the previous original C implementation of the algorithm with significantly increased efficiency and improved API. The software is publicly available on GitHub under the GPLv3 license.

hep-ph↗

arXiv2025

DGLAP evolution at N$^3$LO with the $\texttt{Candia}$ algorithm

We present a generalization of the $x$-space $\texttt{Candia}$ algorithm to next-to-next-to-next-to-leading order (N$^3$LO) accuracy in Quantum Chromodynamics (QCD) for solving the 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 PDFs, evolved using the most recent approximations to the N$^3$LO DGLAP splitting functions, are provided for benchmarking. The new version of the code, $\texttt{Candia-v2}$, is publicly available at https://github.com/champso1/candia-v2.

hep-ph↗