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})= 0.11750pm 0.00018 {text{( } exp.)}pm 0.00102{text{( }hadr.)}pm 0.00257{text{( }ren.)}pm 0.00078{text{( }res.)}.
Highlights
The strong interaction in the Standard Model (SM) is described by quantum chromodynamics (QCD) [1,2,3,4]
We present a comparison of the computation of energy–energy correlation in e+e− collisions in the backto-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
Our analysis represents the first extraction of αS based on Monte Carlo hadronization corrections obtained from NLO Monte Carlo setups at next-to-next-to-leading order (NNLO)+next-to-next-to-leading logarithmic (NNLL) precision
Summary
The strong interaction in the Standard Model (SM) is described by quantum chromodynamics (QCD) [1,2,3,4]. For small values of an event shape observable y corresponding to events with two-jetlike topologies the fixed-order predictions do not converge well This is due to terms where each power of the strong coupling αSn is enhanced by a factor (ln y)n+1 (leading logs), (ln y)n (next-to-leading logs) etc. The discrepancy can be attributed mainly to non-perturbative hadronization corrections We extract these corrections from data by comparison to state-of-the-art Monte Carlo predictions and determine the value of the strong coupling by comparing our results to measurements over a wide range of centre-of-mass energies. The distribution normalized to the total hadronic cross section can be obtained from the expansion in Eq (2) through multiplying by σ0/σt For massless quarks, this ratio is independent of all electroweak couplings and reads σ0 σt
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