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Perturbative renormalisation of the second moment of generalised parton distributions

Göckeler, M.; Horsley, R.; Perlt, H.; Rakow, P.E.L.; Schäfer, A.; Schierholz, G. and Schiller, A. (2005) Perturbative renormalisation of the second moment of generalised parton distributions. Nuclear Physics B, 717 (1-2). pp. 304-323. ISSN 0550-3213

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Official URL: http://www.elsevier.com/wps/find/journaldescriptio...

Abstract

We calculate the non-forward quark matrix elements of operators with two covariant derivatives needed for the renormalisation of the second moment of generalised parton distributions in one-loop lattice perturbation theory using Wilson fermions. For some representations of the hypercubic group commonly used in simulations we determine the sets of all possible mixing operators. For those representations the one-loop mixing matrices of renormalisation factors are found. Due to non-vanishing contributions of operators with external ordinary derivatives the number of contributing operators increases compared to forward matrix elements.

Item Type:Article
Additional Information:Liverpool LTH 637; arXiv:hep-lat/0410009v1; Available online 20 April 2005. Issue Date: 20 June 2005.
Uncontrolled Keywords:Lattice QCD; Perturbation theory; Renormalisation; Generalised parton distributions
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1016/j.nuclphysb.2005.04.005
Related URLs:
Refereed:No
Status:Published
ID Code:434
Deposited On:18 Aug 2008 14:40
Last Modified:20 May 2011 14:07

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