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

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

2005-11-19

arxiv.org/abs/hep-lat/0511041v1

Nucl.Phys.Proc.Suppl.153:269-276,2006

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 2 figures, Talk given at Workshop on Computational Hadron Physics, Nicosia, September 2005

Scientific paper

10.1016/j.nuclphysbps.2006.01.03

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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