Perturbative renormalization of the first moment of structure functions for domain-wall QCD

Details Perturbative renormalization of the first moment of structure functions for domain-wall QCD Perturbative renormalization of the first moment of structure functions for domain-wall QCD

2005-10-20

arxiv.org/abs/hep-lat/0510091v2

Phys.Rev. D73 (2006) 014505

Physics

High Energy Physics

High Energy Physics - Lattice

REVTeX 4, 12 pages, 1 figure; changes in the final paragraphs of sections 1 and 5 concerning comparisons with previous results

Scientific paper

10.1103/PhysRevD.73.014505

Using the domain-wall formulation of lattice fermions, we have computed the one-loop renormalization factors of one-link operators which measure the first nontrivial moment of the unpolarized, polarized and transversity structure functions, in the flavor nonsinglet sector. The knowledge of these factors is necessary in order to extract physical numbers from domain-wall Monte Carlo simulations of parton distributions. We have automated the perturbative calculations by developing suitable FORM codes. The results show that in many instances the total renormalization factors are almost equal to one, and that hence the corresponding operators are, for the appropriate values of the Dirac mass $M$ and the coupling $g_0$, practically unrenormalized.

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