The characteristics of the production of a pair of scalar quarks in hadron collisions (SSC) are investigated. It is shown that a region of experimental cutoffs can be found where O(alpha(s)3) contributions dominate over O(alpha(s)2) terms. Using infrared radiative corrections of order O(alpha(s)3) to elementary subprocesses, the K factor for the reaction pp --> ss is considered.

The cross section of the processpp→ssg is considered. It is shown that theO(α s 3 ) contributions to the cross section can be greater then the Born terms. Using the infrared radiative corrections of α s 3 order for subprocesses the K-factor behaviour is considered.

The K-factor for the qq→φφG process in N = 1 SUSY QCD is calculated. The exact gluon bremsstrahlung matrix elements squared with the corresponding K-factors are obtained. As an illustration the cross sections for the process qq→φφG and GG→φφ are presented.

In the lowest α3s order perturbation theory of SUSY QCD the gluon bremsstrahlung in scalar quark pair production by gluon fusion is calculated. The factorization of the corresponding Born cross sections and generalized “infrared” factors is shown.

In the lowest αs3 order perturbation theory of SUSY QCD gluon bremsstrahlung in scalar quark-pair production is calculated. The factorization of the corresponding Born cross sections and generalized “infrared” factors is shown.