Thrust Distribution in Electron-Positron Annihilation using the Principle of Maximum Conformality

Abstract

We present a comprehensive and self-consistent analysis for the thrust distribution by using the Principle of Maximum Conformality (PMC). By absorbing all nonconformal terms into the running coupling using PMC via renormalization group equation, the scale in the running coupling shows the correct physical behavior and the correct number of active flavors is determined. The resulting PMC predictions agree with the precise measurements for both the thrust differential distributions and the thrust mean values. Moreover, we provide a new remarkable way to determine the running of the coupling constant ${\alpha }_s(Q^2)$ from the measurement of the jet distributions in electron-positron annihilation at a single given value of the center-of-mass energy $\sqrt{s}$.

6 pages, 4 figures, v2: matches published version

References in corpus (10)

• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• A precise determination of alpha_s from LEP thrust data using effective field theory
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Second-order QCD corrections to the thrust distribution
• Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
• Event shapes and jet rates in electron-positron annihilation at NNLO
• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
• NNLO moments of event shapes in e+e- annihilation
• Self-Consistency Requirements of the Renormalization Group for Setting the Renormalization Scale