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 (33)

• Renormalons
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Light-Front Holographic QCD and Emerging Confinement
• 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
• A Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in PQCD
• Second-order QCD corrections to the thrust distribution
• Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions
• Event shapes in e+e- annihilation and deep inelastic scattering
• Systematic Scale-Setting to All Orders: The Principle of Maximum Conformality and Commensurate Scale Relations
• 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
• Scale Setting Using the Extended Renormalization Group and the Principle of Maximum Conformality: the QCD Coupling Constant at Four Loops
• Studies of Hadronic Event Structure in e+e- Annihilation from 30 GeV to 209 GeV with the L3 Detector
• Three-jet production in electron-positron collisions using the CoLoRFulNNLO method
• Setting the Renormalization Scale in QCD: The Principle of Maximum Conformality
• Measurement of event shape distributions and moments in e+e- -> hadrons at 91-209 GeV and a determination of alpha_s
• A study of the energy evolution of event shape distributions and their means with the DELPHI detector at LEP
• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
• Measurement of alpha_s(M_Z^2) from Hadronic Event Observables at the Z^0 Resonance
• NNLO moments of event shapes in e+e- annihilation
• Renormalization Group Invariance and Optimal QCD Renormalization Scale-Setting
• EERAD3: Event shapes and jet rates in electron-positron annihilation at order ${\alpha }_s^3$
• Self-Consistency Requirements of the Renormalization Group for Setting the Renormalization Scale
• Tests of Quantum Chromo Dynamics at e^+e^- Colliders
• Aspects of SU(N_c) Gauge Theories in the Limit of Small Number of Colors
• A Study of Event Shapes and Determinations of alpha_s using data of e^+e^- Annihilations at sqrt{s} = 22 to 44 GeV
• Novel All-Orders Single-Scale Approach to QCD Renormalization Scale-Setting
• Moments of event shapes in electron-positron annihilation at NNLO
• BLM Scale Fixing in Event Shape Distributions

Cited by in corpus (5)

• PMC${}_{\infty }$: Infinite-Order Scale-Setting using the Principle of Maximum Conformality, A Remarkably Efficient Method for Eliminating Renormalization Scale Ambiguities for Perturbative QCD
• Novel Method for the Precise Determination of the QCD Running Coupling from Event Shapes Distributions in Electron-Positron Annihilation
• Thrust Distribution for 3-Jet Production from $e^{+}{e}^{-}$ Annihilation within the QCD Conformal Window and in QED
• Renormalization Scale Setting for Heavy Quark Pair Production in $e^{+}{e}^{-}$ Annihilation near the Threshold Region
• A reanalysis of event shape distributions in electron-positron annihilation