Aspects of QCD perturbative evolution

Details Aspects of QCD perturbative evolution Aspects of QCD perturbative evolution

2002-07-17

arxiv.org/abs/hep-ph/0207204v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

PhD. Thesis, 135 latex pages, 29 ps figures, 10 eps figures

Scientific paper

This thesis is devoted to the study of some aspects of perturbative QCD, and in particular to the development of high-precision techniques for the extraction of physical parameters such as structure functions, parton distributions, and the strong coupling from the analysis of deep inelastic scattering data. First, we will discuss scaling violations of singlet and nonsinglet truncated moments, and the use of truncated momets to solve the Altarelli-Parisi equation. Then we will suggest an approach based on neural networks to the parametrization and interpolation of experimental data, which retains information on experimental errors and correlations. The method of truncated moments can be combined with the neural network fit to extract various quantities of phenomenological interest in a bias-free way. As an example of such application, we will discuss the determination of the strong coupling constant.

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