Lattice calculation of parton distributions

Constantia Alexandrou, Krzysztof Cichy, Vincent Drach, Elena Garcia-Ramos, Kyriakos Hadjiyiannakou, Karl Jansen, Fernanda Steffens, and Christian Wiese

Phys. Rev. D 92, 014502 – Published 7 July 2015

Abstract

We report on our exploratory study for the direct evaluation of the parton distribution functions from lattice QCD, based on a recently proposed new approach. We present encouraging results using $N_{f} = 2 + 1 + 1$ twisted mass fermions with a pion mass of about 370 MeV. The focus of this work is a detailed description of the computation, including the lattice calculation, the matching to an infinite momentum and the nucleon mass correction. In addition, we test the effect of gauge link smearing in the operator to estimate the influence of the Wilson line renormalization, which is yet to be done.

Received 8 May 2015

DOI:https://doi.org/10.1103/PhysRevD.92.014502

Authors & Affiliations

Constantia Alexandrou^1,2, Krzysztof Cichy^3,4,5, Vincent Drach⁶, Elena Garcia-Ramos^3,7, Kyriakos Hadjiyiannakou¹, Karl Jansen³, Fernanda Steffens³, and Christian Wiese³

¹Department of Physics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
²The Cyprus Institute, 20 Kavafi Street, Nicosia 2121, Cyprus
³John von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, 15738 Zeuthen, Germany
⁴Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
⁵Goethe-Universität, Institut für Theoretische Physik, Max-von-Laue-Strasse 1, 60438 Frankfurt am Main, Germany
⁶CP3-Origins & the DIAS, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
⁷Humboldt-Universität zu Berlin, Institut für Physik, Newtronstrasse 15, 12489 Berlin, Germany

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Issue

Vol. 92, Iss. 1 — 1 July 2015

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Physical Review D

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