Interplay between perturbative and non-perturbative effects with the ARES method

Abstract

We present a new semi-numerical method to compute leading hadronisation corrections to two-jet event shapes in $e^{+}{e}^{-}$ annihilation. The formalism we present utilises the dispersive approach, where the magnitude of power corrections is controlled by suitable moments of an effective strong coupling, but it can be adapted to other methods. We focus on observables where the interplay between perturbative and non-perturbative effects is crucial in determining the power corrections. A naive treatment of power corrections for some of these observables gives rise to an unphysical behaviour in the corresponding distributions for moderate observable values, thus considerably limiting the available range to fit the non-perturbative moments. We present a universal treatment to handle such observables, based on a suitable subtraction procedure, and compare our results to the analytic result in the case of total broadening. Finally, for the first time we present predictions for the thrust major, which cannot be handled with analytic methods.

arXiv commentThe revised version contains an additional figure and provides further clarifications

References in corpus (40)

• Renormalons
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Calculation of Power Corrections to Hadronic Event Shapes
• Principles of general final-state resummation and automated implementation
• A precise determination of alpha_s from LEP thrust data using effective field theory
• Nonperturbative Corrections in Resummed Cross Sections
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Power Corrections to Event Shape Distributions
• Resummation of heavy jet mass and comparison to LEP data
• Jet rates in electron-positron annihilation at O(α_s^3) in QCD
• Estimation of Power Corrections to Hadronic Event Shapes
• On the universality of the Milan factor for 1/Q power corrections to jet shapes
• A study of the energy evolution of event shape distributions and their means with the DELPHI detector at LEP
• Universality of 1/Q corrections to jet-shape observables rescued
• Hadron masses and power corrections to event shapes
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• Determination of the strong coupling constant using matched NNLO+NLLA predictions for hadronic event shapes in e+e- annihilations
• On the Universality of the Leading, $1/Q$ Power Corrections in QCD
• NNLL Resummation for Jet Broadening
• Power Suppressed Corrections to Hadronic Event Shape Variables
• Semi-numerical resummation of event shapes
• Power corrections in the dispersive model for a determination of the strong coupling constant from the thrust distribution
• Hadronization effects in event shape moments
• Infrared Renormalons and Power Suppressed Effects in $e^{+}{e}^{-}$ Jet Events
• The two-jet rate in e^+e^- at next-to-next-to-leading-logarithmic order
• A Study of Event Shapes and Determinations of alpha_s using data of e^+e^- Annihilations at sqrt{s} = 22 to 44 GeV
• The Sudakov radiator for jet observables and the soft physical coupling
• Enhanced non-perturbative effects through the collinear anomaly
• Universality of 1/Q corrections revisited
• On linear power corrections in certain collider observables
• Fits of ${\alpha }_s$ using power corrections in the three-jet region
• Linear power corrections to $e^{+}{e}^{-}$ shape variables in the three-jet region
• C-Parameter and Jet Broadening at PETRA Energies
• QCD analysis of D-parameter in near-to-planar three-jet events
• High precision determination of ${\alpha }_s$ from a global fit of jet rates
• On the universality of hadronisation corrections to QCD jets
• Non-perturbative QCD analysis of near-to-planar three-jet events
• On the 1/Q correction to the C-parameter at two loops

Cited by in corpus (2)

• Anomalous scaling of linear power corrections
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