Decay widths and total cross sections in perturbative QCD

Levan R. Surguladze; Mark A. Samuel

doi:10.1103/RevModPhys.68.259

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Decay widths and total cross sections in perturbative QCD

Levan R. Surguladze and Mark A. Samuel

Levan R. Surguladze

Department of Physics & Astronomy, University of Albama, Tuscaloosa, Alabama 35487; Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403; and Department of Physics, Tbilisi State University, Tbilisi 380089, Georgia

Mark A. Samuel

Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078

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Rev. Mod. Phys. 68, 259 – Published 1 January, 1996

DOI: https://doi.org/10.1103/RevModPhys.68.259

Abstract

The current status of analytic higher-order perturbative computations of total cross sections and decay widths in Quantum Chromodynamics is reviewed. Important issues are the methodology of renormalization-group evaluations, the ambiguities of the renormalization scheme and its scale, and the technical challenge of calculating many-loop diagrams. As examples, the authors consider the quantities $σ_{tot} (e^{+} e^{-} \to hadrons)$ and $Γ (τ^{-} \to ν_{τ} + hadrons)$ up to $O (α_{s}^{3})$ as well as $Γ (H \to hadrons)$ up to $O (α_{s}^{2})$ . The evaluation of the four-loop QED beta function is also described. The problem of theoretical uncertainty estimates in perturbative calculations is briefly discussed.

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Decay widths and total cross sections in perturbative QCD

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