Energy-energy correlation in electron-positron annihilation at NNLL+NNLO accuracy

TL;DR

This paper computes the energy-energy correlation in electron-positron collisions at high precision, combining advanced theoretical calculations with experimental data to improve the measurement of the strong coupling constant.

Contribution

It provides a state-of-the-art NNLL+NNLO calculation of energy-energy correlation, crucial for precise determination of (M_Z) from collider data.

Findings

NNLO corrections significantly affect (M_Z) extraction

Results agree well with LEP and SLC data

Higher-order corrections are essential for precision measurements

Abstract

We present 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. We study the effect of the fixed higher order corrections in a comparison of our results to LEP and SLC data. The next-to-next-to-leading order correction has a sizable impact on the extracted value of $\alpha_{\mathrm S}(M_Z)$, hence its inclusion is mandatory for a precise measurement of the strong coupling using energy-energy correlation.