Reconstructing parton distribution functions from Ioffe time data

• Verfasst von: Karpie, Joseph [VerfasserIn]
• Verfasst von: Zafeiropoulos, Savvas [VerfasserIn]
• Titel: Reconstructing parton distribution functions from Ioffe time data
• Titelzusatz: from Bayesian methods to neural networks
• Verf.angabe: Joseph Karpie, Kostas Orginos, Alexander Rothkopf and Savvas Zafeiropoulos
• E-Jahr: 2019
• Jahr: April 5, 2019
• Umfang: 43 S.
• Fussnoten: Gesehen am 06.06.2019
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2019
• Band/Heft Quelle: (2019,4) Artikel-Nummer 57, 43 Seiten
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP04(2019)057
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Lattice QCD
• Sach-SW: Lattice Quantum Field Theory
• K10plus-PPN: 1666927171

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 high energy nuclear physics. In this study, we present and evaluate the efficiency of several numerical methods, well established in the study of 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 simulations 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.