  I present results through three loops for soft anomalous dimensions that
control soft-gluon emission in processes involving the top quark. In particular
I present results for channels in single-top production and top-pair production
as well as for processes with new physics, including $tZ$, $tZ'$, $t \gamma$,
and $tH^-$ production. These calculations are ingredients to resummations at
N$^3$LL accuracy and to derivations of N$^3$LO soft-gluon corrections.
