184 research outputs found
Perturbative renormalization of the first moment of structure functions for domain-wall QCD
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 and the coupling ,
practically unrenormalized.Comment: REVTeX 4, 12 pages, 1 figure; changes in the final paragraphs of
sections 1 and 5 concerning comparisons with previous results, plus
correction of minor typos; final version, accepted for publication in
Physical Review
Perturbative and Non-perturbative Lattice Calculations for the Study of Parton Distributions
We discuss how lattice calculations can be a useful tool for the study of
structure functions. Particular emphasis is given to the perturbative
renormalization of the operators.Comment: 6 pages. Talk presented at the 6th International Symposium on
Radiative Corrections "RADCOR 2002" and 6th Zeuthen Workshop on Elementary
Particle Theory "Loops and Legs 2002", Kloster Banz (Germany), September 8 to
13, 200
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