Gluonic three-jet cross section in hadron collisions at O(α s 4 ) with cone jet definition

The next-to-leading order three-jet cross section in hadron collisions is calculated in the simplified case, when the matrix elements of all QCD subprocesses are approximated by the pure gluon matrix element. The cone jet definition is used. Distribution of the three-jet invariant mass distribution is compared with experimental data obtained at the TEVATRON. The important property of reduced renormalization and factorization scale dependence of the next-to-leading order physical cross sections as compared to the Born cross section is demonstrated.