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Complete O(alpha3s) Results for e+e- --> (g,Z) --> Four Jets


\noindent We present the next-to-leading order ($\cO(\alpha_s^3)$) perturbative QCD predictions for $e^+e^-$ annihilation into four jets. A previous calculation omitted the $\cO(\alpha_s^3)$ terms suppressed by one or more powers of $1/\Nc^2$, where $\Nc$ is the number of colors, and the `light-by-glue scattering' contributions. We find that all such terms are uniformly small, constituting less than 10\% of the correction. For the Durham clustering algorithm, the leading and next-to-leading logarithms in the limit of small jet resolution parameter $\ycut$ can be resummed. We match the resummed results to our fixed-order calculation in order to improve the small $\ycut$ prediction.

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