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

Proceedings

Open Access

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.

© The Authors, published by EDP Sciences, 2018

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