1. On the behavior of non-singlet structure functions at small $x$
- Author
-
Blumlein, J. and Vogt, A.
- Subjects
deep inelastic scattering [neutrino nucleon] ,polarization ,deep inelastic scattering: neutrino nucleon ,perturbation theory: higher-order ,small-x [structure function] ,higher-order [perturbation theory] ,neutrino nucleon: deep inelastic scattering ,electron nucleon: deep inelastic scattering ,quantum chromodynamics ,electron nucleon [deep inelastic scattering] ,structure function: small-x ,ddc:530 ,numerical calculations ,deep inelastic scattering: electron nucleon ,deep inelastic scattering [electron nucleon] ,neutrino nucleon [deep inelastic scattering] - Abstract
7 pp. (1996)., The resummation of O ( α s l +1 ln 2 l x ) terms in the evolution kernels of non-singlet combinations of unpolarized and polarized structure functions is investigated. The agreement with complete calculations up to order α s 2 is demonstrated, and the leading small- x contributions to the three-loop non-singlet splitting functions P ± are derived. The additional contributions due to the resummed terms are studied numerically for the most important non-singlet structure functions. They are found to be about 1% or smaller in the kinematical regions accessible at present and in the foreseeable future.
- Published
- 1996
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