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

D.G.C. McKeon (University of Western Ontario); T.G. Steele (University of Saskatchewan); V. Elias (University of Western Ontario)

arxiv: hep-th/0301183 · v1 · submitted 2003-01-23 · ✦ hep-th

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

V. Elias (University of Western Ontario) , D.G.C. McKeon (University of Western Ontario) , T.G. Steele (University of Saskatchewan) This is my paper

classification ✦ hep-th

keywords renormalization-groupcharacteristicsimprovementmethodseriesaccessibleannihilationapplication

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

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