Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-05-04
Eur.Phys.J.C48:523-530,2006; Erratum-ibid.C56:161-162,2008
Physics
High Energy Physics
High Energy Physics - Lattice
16 pages; v2: eqs.(27), (28), (74)-(79) corrected, several signs changed in section III.B
Scientific paper
10.1140/epjc/s10052-006-0031-7 1
We consider the renormalisation of lattice QCD operators with one and two covariant derivatives related to the first and second moments of generalised parton distributions and meson distribution amplitudes. Employing the clover fermion action we calculate their non-forward quark matrix elements in one-loop lattice perturbation theory. For some representations of the hypercubic group commonly used in simulations we determine the sets of all possible mixing operators and compute the matrices of renormalisation factors in one-loop approximation. We describe how tadpole improvement is applied to the results.
Göckeler Meinulf
Horsley Roger
Perlt Holger
Rakow Paul E. L.
Schierholz Gerrit
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