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

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 ${\alpha }_S(M_Z)=0.11750\pm 0.00018\text{(}exp.)\pm 0.00102\text{(}hadr.)\pm 0.00257\text{(}ren.)\pm 0.00078\text{(}res.)$.

Comments: 35 pages, 10 figures, 2 tables