Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics
High Energy Physics - Theory
2009-11-10 v1
Abstract
We discuss the application of the method of characteristics to the renormalization-group equation for the perturbative QCD series within the electron-positron annihilation cross-section. We demonstrate how one such renormalization-group improvement of this series is equivalent to a closed-form summation of the first four towers of renormalization-group accessible logarithms to all orders of perturbation theory.
Cite
@article{arxiv.hep-th/0301183,
title = {Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics},
author = {V. Elias and D. G. C. McKeon and T. G. Steele},
journal= {arXiv preprint arXiv:hep-th/0301183},
year = {2009}
}