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Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation

Next-to-Next-to-Leading Order Corrections to Three-Jet Observables in Electron-Positron Annihilation

I report on a numerical program, which can be used to calculate any infrared safe three-jet observable in electron-positron annihilation to next-to-next-to-leading order in the strong coupling constant ${\ensuremath{\alpha}}_{s}$. The results are compared to a recent calculation by another group. Numerical differences in three color factors are discussed and explained.