dc.contributor.author | Karpie, Joseph | |
dc.contributor.author | Orginos, Kostas | |
dc.contributor.author | Rothkopf, Alexander Karl | |
dc.contributor.author | Zafeiropoulos, Savvas | |
dc.date.accessioned | 2023-02-02T14:17:12Z | |
dc.date.available | 2023-02-02T14:17:12Z | |
dc.date.created | 2019-06-11T15:03:21Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Karpie, J., Orginos, K., Rothkopf, A., & Zafeiropoulos, S. (2019). Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks. Journal of High Energy Physics, 2019(4), 1-43. | en_US |
dc.identifier.issn | 1126-6708 | |
dc.identifier.uri | https://hdl.handle.net/11250/3048073 | |
dc.description.abstract | The computation of the parton distribution functions (PDF) or distribution amplitudes (DA) of hadrons from first principles lattice QCD constitutes a central open problem. In this study, we present and evaluate the efficiency of a selection of methods for inverse problems to reconstruct the full x-dependence of PDFs. Our starting point are the so called Ioffe time PDFs, which are accessible from Euclidean time calculations in conjunction with a matching procedure. Using realistic mock data tests, we find that the ill-posed incomplete Fourier transform underlying the reconstruction requires careful regularization, for which both the Bayesian approach as well as neural networks are efficient and flexible choices. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | American Physical Society | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to Neural Networks | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | The authors | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400 | en_US |
dc.source.pagenumber | 43 | en_US |
dc.source.volume | 04 | en_US |
dc.source.journal | Journal of High Energy Physics (JHEP) | en_US |
dc.identifier.doi | 10.1007/JHEP04(2019)057 | |
dc.identifier.cristin | 1704097 | |
dc.relation.project | Notur/NorStore: NN9578K | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |