A complete leadingorder renormalizationschemeconsistent calculation of structure functions
Abstract
We present consistently ordered calculations of the structure functions F_{2} ( x, Q^{2}) and F_{L} ( x, Q^{2}) in different expansion schemes. After discussing the standard expansion in powers of α_{S}( Q^{2}) we consider a leadingorder expansion in ln( {1}/{x}) and finally an expansion which is leading order in both ln( {1}/{x}) and α_{S}( Q^{2}), and which is the only really correct expansion scheme. Ordering the calculation in a renormalizationschemeconsistent manner, there is no factorization scheme dependence, and the calculational method naturally includes to the "physical anomalous dimensions" of Catani. However, it imposes stronger constraints than just the use of these effective anomalous dimensions. A relationship between the small x forms of the inputs F_{2}( x, Q_{I}^{2}) and F_{L} ( x, Q_{I}^{2}) is predicted. Analysis of a wide range of data for F_{2} ( x, Q^{2}) is performed, and a very good global fit obtained, particularly for data at small x. The fit allows a prediction for F_{L} ( x, Q^{2}) to be produced, which is smaller than those produced by the usual NLOin α_{S}( Q^{2}) fits to F_{2}( x, Q^{2}) and different in shape.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1998
 DOI:
 10.1016/S05503213(97)006901
 arXiv:
 arXiv:hepph/9710541
 Bibcode:
 1998NuPhB.512..323T
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 66 pages, 4 figures as ps files, includes a variation of harmac. A shortened version of hepph/9701241, with much less pedagogical and discursive material, and with fewer comparisons to alternative approaches (see previous article if interested in any of this material). Minor correction to fig.4 compared to previous article. Overall results and arguments essentially identical to those previously presented. To be published in Nuc. Phys. B