Deep inelastic scattering in improved lattice QCD (I). The first moment of structure functions
Abstract
We present the complete 1loop perturbative computation of the renormalization constants and mixing coefficients of the operators that measure the first moment of deep inelastic scattering structure functions, employing the nearest neighbor improved lattice QCD action. The interest of using this action in Monte Carlo simulations lies in the fact that all terms which in the continuum limit are effectively of order a ( a being the lattice spacing) have been proven to be absent from [p]Because of the complexity of the calculations, we have checked the analytical expression of all Feynman diagrams using Schoonschip. To this end we have developed a suitable code designed to automatically carry out all the necessary lattice algebraic manipulations, starting from the elementary building blocks of each diagram. [p]We have found discrepancies with some of the published numbers, but we are in agreement with the known results on the energymomentum tensor.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(94)00428H
 arXiv:
 arXiv:heplat/9401014
 Bibcode:
 1995NuPhB.433..351C
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 59 pages, plain LaTeX + Feynman.tex (complete postscript file available upon request to capitani@vxrm70.roma1.infn.it), Preprint Roma1 97893 and ROM2F 93/38 (some numerical mistakes have been corrected in Sects. 2.2 and 8)