EKO: evolution kernel operators

Alessandro Candido, Felix Hekhorn*, Giacomo Magni

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We present a new QCD evolution library for unpolarized parton distribution functions: EKO. The program solves DGLAP equations up to next-to-next-to-leading order. The unique feature of EKO is the computation of solution operators, which are independent of the boundary condition, can be stored and quickly applied to evolve several initial PDFs. The EKO approach combines the power of N-space solutions with the flexibility of a x-space delivery, that allows for an easy interface with existing codes. The code is fully open source and written in Python, with a modular structure in order to facilitate usage, readability and possible extensions. We provide a set of benchmarks with similar available tools, finding good agreement.

Original languageEnglish
Article number976
Pages (from-to)1-18
Number of pages18
JournalEuropean Physical Journal C
Volume82
Issue number10
Early online date31 Oct 2022
DOIs
Publication statusPublished - Oct 2022

Bibliographical note

Funding Information:
We thank J. Cruz-Martinez for contributing to the development and S. Carrazza for suggesting the idea and providing valuable support. We thank S. Forte and J. Rojo for carefully proofreading the manuscript. We acknowledge the NNPDF collaboration for valuable discussions and comments. F. H. and A. C. are supported by the European Research Council under the European Union’s Horizon 2020 research and innovation Programme (grant agreement no. 740006). G. M. is supported by NWO (Dutch Research Council).

Publisher Copyright:
© 2022, The Author(s).

Funding

We thank J. Cruz-Martinez for contributing to the development and S. Carrazza for suggesting the idea and providing valuable support. We thank S. Forte and J. Rojo for carefully proofreading the manuscript. We acknowledge the NNPDF collaboration for valuable discussions and comments. F. H. and A. C. are supported by the European Research Council under the European Union’s Horizon 2020 research and innovation Programme (grant agreement no. 740006). G. M. is supported by NWO (Dutch Research Council).

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