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arXiv · hep-th/0301183

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

V. Elias·D. G. C. McKeon·T. G. Steele
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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.

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V. Elias, D. G. C. McKeon, T. G. Steele. 2003-01-23. Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics. https://doi.org/10.1142/s0217751x03015325

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