Resummation for $2\to n$ processes in single-particle-inclusive kinematics

We present a formalism and detailed analytical results for soft-gluon resummation for $2\to n$ processes in single-particle-inclusive (1PI) kinematics. This generalizes previous work on resummation for $2\to 2$ processes in 1PI kinematics. We also present soft anomalous dimensions at one and two loops for certain $2\to 3$ processes involving top quarks and Higgs or $Z$ bosons, and we provide some brief numerical results.