Precise determination of \(\alpha _{S}(M_Z)\) from a global fit of energy–energy correlation to NNLO+NNLL predictions

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 \(\alpha _{S}(M_{Z})= 0.11750\pm 0.00018 {\text{( } exp.)}\pm 0.00102{\text{( }hadr.)}\pm 0.00257{\text{( }ren.)}\pm 0.00078{\text{( }res.)}\).