Optimal Renormalization-Group Improvement of R(s) via the Method of Characteristics
V. Elias, D. G. C. McKeon, T. G. Steele
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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