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

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arxiv hep-lat/0409025 v1 pith:EPN4A6TX submitted 2004-09-08 hep-lat

classification hep-lat
keywords renormalisationelementsfermionslatticematrixmixingmomentone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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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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