2004/09/08 by M. Göckeler, R. Horsley, H. Perlt +5 · 1 citation
Physics and Astronomy · #Covariant transformation #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mathematical physics #Mixing (physics) #Particle physics #Particle physics theoretical and experimental studies #Parton #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #hep-lat
paper · pdf · doi:10.1016/j.nuclphysbps.2004.11.351
published as Nucl.Phys.Proc.Suppl.140:722-724,2005 · Lattice 2004(improved), 3 pages, LaTeX style file, espcrc2.sty included
arxiv created 2004/09/08 · openalex publication_date 2005/01/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.