  We provide analytic results for two-loop four-point master integrals with one
massive propagator and one massive leg relevant to single top production.
Canonical bases of master integrals are constructed and the Simplified
Differential Equations approach is employed for their analytic solution. The
necessary boundary terms are computed in closed form in the dimensional
regulator, allowing us to obtain analytic results in terms of multiple
polylogarithms of arbitrary transcendental weight. We provide explicit
solutions of all two-loop master integrals up to transcendental weight six and
discuss their numerical evaluation for Euclidean and physical phase-space
points.
