Soft anomalous dimension matrices in heavy quark-antiquark hadroproduction in association with a gluon jet

We compute the soft anomalous dimension (SAD) matrices for production of massive quarks $Q$ and $\bar{Q}$ in association with a gluon jet, from massless quarks $q$ and antiquarks $\bar{q}$: $q\bar{q}\to Q\bar{Q}g$, and in the gluon scattering $gg\to Q\bar{Q}g$. To analyze the behaviour of the eigenvalues of SAD matrices we perform numerical studies of their eigensystems at two special kinematical configurations.