Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-01-14
Nucl.Phys. B433 (1995) 351-389
Physics
High Energy Physics
High Energy Physics - Lattice
59 pages, plain LaTeX + Feynman.tex (complete postscript file available upon request to capitani@vxrm70.roma1.infn.it), Prepri
Scientific paper
10.1016/0550-3213(94)00428-H
We present the complete 1-loop 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 on-shell hadronic lattice matrix elements. 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. We have found discrepancies with some of the published numbers, but we are in agreement with the known results on the energy-momentum tensor.
Capitani Stefano
Rossi Giancarlo
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