A Precise Determination of ${\alpha }_s$ from the Heavy Jet Mass Distribution

Abstract

A global fit for ${\alpha }_s(m_Z)$ is performed on available $e^{+}{e}^{-}$ data for the heavy jet mass distribution. The state-of-the-art theory prediction includes $\mathcal{O}({\alpha }_s^3)$ fixed-order results, N${}^3$LL${}^{\prime }$ dijet resummation, N${}^2$LL Sudakov shoulder resummation, and a first-principles treatment of power corrections in the dijet region. Theoretical correlations are incorporated through a flat random-scan covariance matrix. The global fit results in $0.1148_{-0.0022}^{+0.0015}$, compatible with similar determinations from thrust and $C$-parameter. Dijet resummation is essential for a robust fit, as it engenders insensitivity to the fit-range lower cutoff; without resummation the fit-range sensitivity is overwhelming. In addition, we find evidence for a negative power correction in the trijet region if and only if Sudakov shoulder resummation is included.

4 pages + supplemental material, 8 figures, 3 tables

References in corpus (23)

• 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
• Jets from Massive Unstable Particles: Top-Mass Determination
• Top Jets in the Peak Region: Factorization Analysis with NLL Resummation
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Resummation of heavy jet mass and comparison to LEP data
• Resummation and NLO Matching of Event Shapes with Effective Field Theory
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
• 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
• An extensive survey of the estimation of uncertainties from missing higher orders in perturbative calculations
• Probabilistic definition of the perturbative theoretical uncertainty from missing higher orders
• 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
• Sudakov Shoulder Resummation for Thrust and Heavy Jet Mass
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• Interplay between perturbative and non-perturbative effects with the ARES method
• EERAD3 version 2: QCD corrections in hadronic colour-singlet decays
• An analysis of Bayesian estimates for missing higher orders in perturbative calculations
• NNLL Resummation of Sudakov Shoulder Logarithms in the Heavy Jet Mass Distribution
• On Determining ${\alpha }_s(m_Z)$ from Dijets in $e^{+}{e}^{-}$ Thrust