Precise determination of $\alpha_{S}(M_Z)$ from a global fit of energy-energy correlation to NNLO+NNLL predictions

TL;DR

This paper achieves a precise determination of the strong coupling constant (M_Z) by comparing advanced theoretical predictions with experimental data from multiple electron-positron colliders, incorporating non-perturbative effects.

Contribution

It provides the first extraction of (M_Z) using NNLO+NNLL predictions for energy-energy correlations, including non-perturbative modeling and comprehensive uncertainty analysis.

Findings

(M_Z) = 0.11750 b1 0.00018 (exp.) b1 0.00102 (hadr.) b1 0.00257 (ren.) b1 0.00078 (res.)

Consistent results across multiple datasets from LEP, PEP, PETRA, SLC, and TRISTAN.

Enhanced precision in  determination compared to previous methods.

Abstract

We present a comparison of the computation of energy-energy correlation in $e^{+}e^{-}$ collisions in the back-to-back region at next-to-next-to-leading logarithmic accuracy matched with the next-to-next-to-leading order perturbative prediction to LEP, PEP, PETRA, SLC and TRISTAN data. With these predictions we perform an extraction of the strong coupling constant taking into account non-perturbative effects modelled with Monte Carlo event generators. The final result at NNLO+NNLL precision is $\alpha_{S}(M_{Z})=0.11750\pm 0.00018 {\text( exp.)}\pm 0.00102{\text(hadr.)}\pm0.00257{\text(ren.)}\pm 0.00078{\text(res.)}$.