Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions

Details Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions

2004-10-06

arxiv.org/abs/hep-lat/0410009v1

Nucl.Phys.B717:304-323,2005

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages

Scientific paper

10.1016/j.nuclphysb.2005.04.005

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.

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