Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions

Göckeler, M, Horsley, R, Perlt, H, Rakow, PEL ORCID: 0000-0003-4486-2158, Schäfer, A, Schierholz, G and Schiller, A (2004) Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions. Nucl.Phys.B, 717 (1-2). pp. 304-323.

	PDF 0410009v1.pdf - Unspecified Download (228kB)
	Postscript (Requires a viewer, such as GSview) 0410009v1.ps.ps - Unspecified Download (362kB)

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:	25 pages
Uncontrolled Keywords:	hep-lat, hep-lat
Subjects:	?? QC ??
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	18 Aug 2008 13:40
Last Modified:	17 Dec 2022 01:14
DOI:	10.1016/j.nuclphysb.2005.04.005
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/434