A Leading-Order, But More Than One-Loop, Calculation of structure functions
Abstract
I present a full leading-order calculation of F_2(x,Q^2) and F_L(x,Q^2), including contributions not only from leading order in \alpha_s, but also from the leading power of \alpha_s for each order in ln(1/x). The calculation is ordered according to the inputs and evolution of the structure functions, and the perturbative form of the inputs is determined. I compare the results of fits to data to those using conventional LO and NLO order calculations, and the correct inclusion of leading ln(1/x) terms is clearly preferred. A prediction for F_L(x,Q^2) is produced which is smaller at small x than that obtained from the conventional approach.
Cite
@article{arxiv.hep-ph/9706233,
title = {A Leading-Order, But More Than One-Loop, Calculation of structure functions},
author = {Robert S. Thorne},
journal= {arXiv preprint arXiv:hep-ph/9706233},
year = {2009}
}
Comments
5 pages, Latex, 1 figure, uses epsfig.sty and aipproc.sty. Talk presented at the 5th International Workshop on ``Deep Inelastic Scattering and QCD'' (DIS 97), Chicago, USA, April, 1997. A couple of minor tyops corrected