One-loop renormalisation for the second moment of GPDs with Wilson fermions

Details One-loop renormalisation for the second moment of GPDs with Wilson fermions One-loop renormalisation for the second moment of GPDs with Wilson fermions

2004-09-08

arxiv.org/abs/hep-lat/0409025v1

Nucl.Phys.Proc.Suppl.140:722-724,2005

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2004(improved), 3 pages, LaTeX style file, espcrc2.sty included

Scientific paper

10.1016/j.nuclphysbps.2004.11.35

We calculate the non-forward quark matrix elements for operators with two covariant derivatives in one-loop lattice perturbation theory using Wilson fermions. These matrix elements are needed in the renormalisation of the second moment of generalised parton distributions measured in lattice QCD. For some commonly used representations of the hypercubic group we determine the sets of all mixing operators and find the matrices of mixing and renormalisation factors.

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