A Complete Leading-Order, Renormalization-Scheme-Consistent Calculation of Structure Functions
摘要
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 alpha_s(Q^2) we consider a leading-order expansion in ln(1/x) and finally an expansion which is leading order in both ln(1/x) and alpha_s(Q^2), and which is the only really correct expansion scheme. Ordering the calculation in a renormalization-scheme-consistent 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 NLO-in-alpha_s(Q^2) fits to F_2(x,Q^2) and different in shape.
关键词
引用
@article{arxiv.hep-ph/9710541,
title = {A Complete Leading-Order, Renormalization-Scheme-Consistent Calculation of Structure Functions},
author = {R. S. Thorne},
journal= {arXiv preprint arXiv:hep-ph/9710541},
year = {2008}
}
备注
66 pages, 4 figures as ps files, includes a variation of harmac. A shortened version of hep-ph/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