Jet rates in electron-positron annihilation at O(α_s^3) in QCD

Abstract

We compute production rates for two, three, four and five jets in electron-positron annihilation at the third order in the QCD coupling constant. At this order, three-jet production is described to next-to-next-to-leading order (NNLO) in perturbation theory while the two-jet rate is obtained at next-to-next-to-next-to-leading order (N${}^3$LO). Our results yield an improved perturbative description of the dependence of jet multiplicity on the jet resolution parameter, $\ycut$, particularly at small values of $\ycut$.

4 pages, 2 figures, extended discussion on scale uncertainty, added references

References in corpus (6)

• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Second-order QCD corrections to the thrust distribution
• Experimental Tests of Asymptotic Freedom
• Infrared structure of e+e- --> 3 jets at NNLO
• First determination of the strong coupling constant using NNLO predictions for hadronic event shapes in e^+e^- annihilations
• NNLO corrections to 2-jet observables in electron-positron annihilation

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