Next-to-leading order calculation of four-jet observables in electron-positron annihilation -: art. no. 014020.

The production of four jets in electron-positron annihilation allows for measuring the strong coupling and the underlying group structure of the strong interaction simultaneously. This requires a next-to-leading order perturbative prediction for four-jet observables. In this paper we describe the theoretical formalism of such a calculation with sufficient details. We use the dipole method to construct a Monte Carlo program that can be used for calculating any four-jet observable at the next-to-leading order accuracy. As new results, we present the next-to-leading order prediction for the thrust minor, y(4) and C parameter (at C greater than or equal to 0.75) four-jet shape variables and the four-jet rates with the Cambridge jet clustering algorithm. [S0556-2821(98)01723-8].