We discuss the effect of unresolved point source contamination on estimates
of the CMB lensing potential, from components such as the thermal
Sunyaev-Zel'dovich effect, radio point sources, and the Cosmic Infrared
Background. We classify the possible trispectra associated with such source
populations, and construct estimators for the amplitude and scale-dependence of
several of the major trispectra. We show how to propagate analytical models for
these source trispectra to biases for lensing. We also construct a
"source-hardened" lensing estimator which experiences significantly smaller
biases when exposed to unresolved point sources than the standard quadratic
lensing estimator. We demonstrate these ideas in practice using the sky
simulations of Sehgal et. al., for cosmic-variance limited experiments designed
to mimic ACT, SPT, and Planck
