We derive bases of improved operators for all bilinear quark currents up to spin two (including the operators measuring the first moment of DIS Structure Functions), and compute their one-loop renormalization constants for arbitrary coefficients of the improvement terms. We have thus control over O(a) corrections, and for a suitable choice of improvement coefficients we are only left with errors of O(a^2).
@article{arxiv.hep-lat/9709049,
title = {Perturbative Renormalization of Improved Lattice Operators},
author = {S. Capitani and M. Goeckeler and R. Horsley and H. Perlt and P. Rakow and G. Schierholz and A. Schiller},
journal= {arXiv preprint arXiv:hep-lat/9709049},
year = {2008}
}
Comments
4 pages, LaTeX + 1 eps file + epscrc2.sty (included). Talk given to the Lattice 97 International Symposium, 22-26 July 1997, Edinburgh, UK. Minor changes in notation