Progress in computing parton distribution functions from the quasi-PDF approach

Constantia Alexandrou; Krzysztof Cichy; Martha Constantinou; Kyriakos Hadjiyiannakou; Karl Jansen; Haralambos Panagopoulos; Aurora Scapellato; Fernanda Steffens

doi:10.1051/epjconf/201817506021

All issues

Volume 175 (2018)

EPJ Web Conf., 175 (2018) 06021

Abstract

Open Access

Issue		EPJ Web Conf. Volume 175, 2018 35^th International Symposium on Lattice Field Theory (Lattice 2017)


Article Number		06021
Number of page(s)		8
Section		6 Hadron Structure
DOI		https://doi.org/10.1051/epjconf/201817506021
Published online		26 March 2018

EPJ Web of Conferences 175, 06021 (2018)
https://doi.org/10.1051/epjconf/201817506021

Progress in computing parton distribution functions from the quasi-PDF approach

Constantia Alexandrou¹^,2, Krzysztof Cichy³^,4^*, Martha Constantinou⁵, Kyriakos Hadjiyiannakou², Karl Jansen⁶, Haralambos Panagopoulos¹, Aurora Scapellato¹^,7 and Fernanda Steffens⁶

¹ Department of Physics, University of Cyprus, POB 20537, 1678 Nicosia, Cyprus
² The Cyprus Institute, 20 Kavafi Str., Nicosia 2121, Cyprus
³ Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany
⁴ Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
⁵ Department of Physics, Temple University, Philadelphia, PA 19122 - 1801, USA
⁶ John von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, 15738 Zeuthen, Germany
⁷ University of Wuppertal, Gaußstr. 20, 42119 Wuppertal, Germany

^* Speaker, e-mail: kcichy@amu.edu.pl

Published online: 26 March 2018

Abstract

We discuss the current developments by the European Twisted Mass Collaboration in extracting parton distribution functions from the quasi-PDF approach. We concentrate on the non-perturbative renormalization prescription recently developed by us, using the RI′ scheme. We show results for the renormalization functions of matrix elements needed for the computation of quasi-PDFs, including the conversion to the MS scheme, and for renormalized matrix elements. We discuss the systematic effects present in the Z-factors and the possible ways of addressing them in the future.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).

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