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Non-Perturbative Contribution to the Thrust Distribution in $e^+ e^-$ Annihilation
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abstract
We re-evaluate the non-perturbative contribution to the thrust distribution in $e^+e^-\to$ hadrons, in the light of the latest experimental data and the recent NNLO perturbative calculation of this quantity. By extending the calculation to NNLO+NLL accuracy, we perform the most detailed study to date of the effects of non-perturbative physics on this observable. In particular, we investigate how well a model based on a low-scale QCD effective coupling can account for such effects. We find that the difference between the improved perturbative distribution and the experimental data is consistent with a $1/Q$-dependent non-perturbative shift in the distribution, as predicted by the effective coupling model. Best fit values of $\alpha_s(M_Z) = 0.1164^{+0.0028}_{-0.0026}$ and $\alpha_0(2 GeV)=0.59+/-0.03$ are obtained with $\chi^2/d.o.f.=1.09$. This is consistent with NLO+NLL results but the quality of fit is improved. The agreement in $\alpha_0$ is non-trivial because a part of the 1/Q-dependent contribution (the infrared renormalon) is included in the NNLO perturbative correction.
Forward citations
Cited by 5 Pith papers
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Exploring soft anomalous dimensions for $1/Q$ power corrections
The leading logarithmic correction to the 1/Q power correction for thrust and C-parameter is computed, with a sizeable coefficient S1 ≈ 2.455 and a universal C-to-thrust ratio of 3π/2.
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Thrust distribution in electron-positron annihilation at full NNNLL+NNLO (and beyond) in QCD
Laplace-space resummation of the thrust distribution at N4LL accuracy yields alpha_S(mZ^2) = 0.1181 +/- 0.0018, consistent with the world average, while physical-space resummation gives a lower value.
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Second-order QCD corrections to event shape distributions in deep inelastic scattering
The NNLO QCD corrections to DIS event shape distributions and their mean values are computed for the first time, reducing scale uncertainties and improving the description of H1 and ZEUS data.
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Analysis note: measurement of thrust in $e^{+}e^{-}$ collisions at $\sqrt{s}$ = 91 GeV with archived ALEPH data
Using archived ALEPH data, the authors produce a detector-corrected thrust distribution with machine-learning unbinned unfolding that matches the old ALEPH result and adds flexible per-event weights.
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On Determining $\alpha_s(m_Z)$ from Dijets in $e^+e^-$ Thrust
An updated N3LL'+O(alpha_s^3) thrust analysis yields alpha_s(m_Z)=0.1136 +/- 0.0012 from a dijet-restricted global fit, stable under fit-range, gap-scheme, and hadronization-model variations.
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