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Journal of High Energy Physics

, 2019:147 | Cite as

e+e angularity distributions at NNLL′ accuracy

  • Guido Bell
  • Andrew Hornig
  • Christopher Lee
  • Jim TalbertEmail author
Open Access
Regular Article - Theoretical Physics
  • 21 Downloads

Abstract

We present predictions for the e+e event shape angularities at NNLL′ resummed and \( \mathcal{O}\left({\alpha}_s^2\right) \) matched accuracy and compare them to LEP data at center-of-mass energies Q = 91.2 GeV and Q = 197 GeV. We perform the resummation within the framework of Soft-Collinear Effective Theory, and make use of recent results for the two-loop angularity soft function. We determine the remaining NNLL′ and \( \mathcal{O}\left({\alpha}_s^2\right) \) ingredients from a fit to the EVENT2 generator, and implement a shape function with a renormalon-free gap parameter to model non-perturbative effects. Using values of the strong coupling αs(mZ) and the universal non-perturbative shift parameter Ω1 that are consistent with those obtained in previous fits to the thrust and C-parameter distributions, we find excellent agreement between our predictions and the LEP data for all angularities with a ∈ [−1, 0.5]. This provides a robust test of the predictions of QCD, factorization, and the universal scaling of the non-perturbative shift across different angularities. Promisingly, our results indicate that current degeneracies in the {αs(mZ), Ω1} parameter space could be alleviated upon fitting these parameters to experimental data for the angularity distributions.

Keywords

Resummation Perturbative QCD 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Guido Bell
    • 1
  • Andrew Hornig
    • 2
  • Christopher Lee
    • 2
  • Jim Talbert
    • 3
    Email author
  1. 1.Theoretische Physik 1, Naturwissenschaftlich-Technische FakultätUniversität SiegenSiegenGermany
  2. 2.Theoretical Division, Group T-2, MS B283Los Alamos National LaboratoryLos AlamosU.S.A.
  3. 3.Theory GroupDeutsches Elektronen-Synchrotron (DESY)HamburgGermany

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