Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics

Details Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics

2003-01-23

arxiv.org/abs/hep-th/0301183v1

Int.J.Mod.Phys. A18 (2003) 3417

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1142/S0217751X03015325

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.

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