Perturbative Renormalisation for Low Moments of Generalised Parton Distributions with Clover Fermions
arXiv:hep-lat/0511041 · doi:10.1016/j.nuclphysbps.2006.01.037
Abstract
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.
arXiv comment8 pages, 2 figures, Talk given at Workshop on Computational Hadron Physics, Nicosia, September 2005
References in corpus (10)
- Generalized Parton Distributions
- On the Viability of Lattice Perturbation Theory
- Moments of Nucleon Generalized Parton Distributions in Lattice QCD
- Generalized Parton Distributions from Lattice QCD
- Quark helicity flip generalized parton distributions from two-flavor lattice QCD
- Lattice Operators for Moments of the Structure Functions and their Transformation under the Hypercubic Group
- Renormalisation and off-shell improvement in lattice perturbation theory
- Generalized parton distributions and transversity from full lattice QCD
- Generalized parton distributions and structure functions from full lattice QCD
- Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions