Parton distribution functions with twisted mass fermions

Collaboration, Capitani, S, Jansen, K, Papinutto, M, Shindler, A, Urbach, C and Wetzorke, I (2006) Parton distribution functions with twisted mass fermions Physics Letters B, 639 (5). pp. 520-526. ISSN 0370-2693

PDF 0511013v1.pdf - Unspecified Access to this file is embargoed until Unspecified. Download (204kB)

Abstract

We present a quenched Wilson twisted mass fermion calculation of the matrix element between pion states of the twist-2 operator, which is related to the lowest moment 〈x〉 of the valence quark parton distribution function in a pion. Using Wilson twisted mass fermions we demonstrate that 〈x〉 can be computed at small pseudoscalar meson masses down to values of order 250 MeV. We investigate the scaling behaviour of this physically important quantity by applying two definitions of the critical mass and observe a scaling compatible with the expected O(a2) behaviour in both cases. A combined continuum extrapolation allows to obtain reliable results for 〈x〉 at very small pseudoscalar meson masses, which previously could not be explored by lattice QCD simulations.

Item Type:	Article
Additional Information:	LTH 681. arXiv Number: arXiv:hep-lat/0511013v1. Available online 28 February 2006. Issue: 17 August 2006.
Uncontrolled Keywords:	5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 5108 Quantum Physics, 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Subjects:	?? QC ??
Divisions:	Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	14 Apr 2009 08:58
Last Modified:	22 May 2026 23:30
DOI:	10.1016/j.physletb.2006.02.047
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/390
Disclaimer:	The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate.