EKO: evolution kernel operators

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 stor...

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Main Authors: Alessandro Candido, Felix Hekhorn, Giacomo Magni
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-022-10878-w
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author Alessandro Candido
Felix Hekhorn
Giacomo Magni
author_facet Alessandro Candido
Felix Hekhorn
Giacomo Magni
author_sort Alessandro Candido
collection DOAJ
description 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.
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spelling doaj.art-2aa3aceec5a143878d3b1034e36ab61d2022-12-22T03:58:02ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-10-01821011810.1140/epjc/s10052-022-10878-wEKO: evolution kernel operatorsAlessandro Candido0Felix Hekhorn1Giacomo Magni2Tif Lab, Dipartimento di Fisica, Università di Milano and INFN, Sezione di MilanoTif Lab, Dipartimento di Fisica, Università di Milano and INFN, Sezione di MilanoDepartment of Physics and Astronomy, Vrije UniversiteitAbstract 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.https://doi.org/10.1140/epjc/s10052-022-10878-w
spellingShingle Alessandro Candido
Felix Hekhorn
Giacomo Magni
EKO: evolution kernel operators
European Physical Journal C: Particles and Fields
title EKO: evolution kernel operators
title_full EKO: evolution kernel operators
title_fullStr EKO: evolution kernel operators
title_full_unstemmed EKO: evolution kernel operators
title_short EKO: evolution kernel operators
title_sort eko evolution kernel operators
url https://doi.org/10.1140/epjc/s10052-022-10878-w
work_keys_str_mv AT alessandrocandido ekoevolutionkerneloperators
AT felixhekhorn ekoevolutionkerneloperators
AT giacomomagni ekoevolutionkerneloperators