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Perturbative Renormalisation for Low Moments of Generalised Parton Distributions with Clover Fermions

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arxiv hep-lat/0511041 v1 pith:TWWNJOW7 submitted 2005-11-19 hep-lat

M. Gockeler , R. Horsley , H. Perlt , P.E.L. Rakow , A. Schaefer , G. Schierholz , A. Schiller This is my paper
classification hep-lat
keywords renormalisationcloverdistributionsfermionsgeneralisedmixingmomentsone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the non-forward quark matrix elements of operators with one and two covariant derivatives needed for the renormalisation of the first and second moments of generalised parton distributions in one-loop lattice perturbation theory using clover fermions. For some representations of the hypercubic group commonly used in simulations we define the sets of possible mixing operators and compute the one-loop mixing matrices of renormalisation factors. Tadpole improvement is applied to the results and some numerical examples are presented.

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