1. Higher Twist Contributions to Deep Inelastic Structure Functions at Small $x_B$
- Author
-
Bontus, C.
- Subjects
small-x ,gluon: operator ,diffraction: dissociation ,Feynman graph: higher-order ,thesis ,bibliography ,nucleon: structure function ,Ward identity ,vector meson: electroproduction ,effect: higher-twist ,momentum spectrum: parton ,electron nucleon: deep inelastic scattering ,structure function: longitudinal ,jet: multiple production ,factorization ,electron nucleon: inclusive reaction ,quantum chromodynamics ,Mellin transformation ,numerical calculations - Abstract
Universität Hamburg, Diss., 1999; 91 pp., (1999). doi:10.3204/DESY-THESIS-1999-024, We analyse gluonic twist-four contributions to inclusive deep inelastic structure functions. For this, we estimate these contributions numerically in the first part. The results are based on the DLA contributions of gluon-operators which are expected to dominate at small XB. We, first, summarize relations of Ute two-e, three- and four-gluon amplitude and show how to extract the relevant twistfour. parts. Moreover, we are using experimental data on diffractive final states in order to fix free parameters within the initial distribution of the four-gluon amplitude. Therefore, it is also necessary to study relations between diffractive and inclusive amplitudes. This relation can be established with help of the AGK rules. Finally, we present our numerical results for three different choices of the input distributions. In the second part we consider gluonic higher-twist contributions from a more general point of view. Using a graphical method we can find expressions for gluonic twist-four contributions at leading order. For thls we consider diagrams with up to four t-channel gluons. The used scheme is an extension of the methods developed by R.K. Ellis, W. Furmanski, R. Petronzio (EFP). Making systematic use of the axial gauge, Ward identities and symmetry relations, we can write the results as explicitly gauge invariant expressions. Moreover, we can perform the factorization of matrix-elements of gluon-operators and coefficient functions.
- Published
- 1999
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