  The efficiency of cavity sideband cooling of trapped molecules is
theoretically investigated for the case where the IR transition between two
rovibrational states is used as a cycling transition. The molecules are assumed
to be trapped either by a radio-frequency or optical trapping potential,
depending on whether they are charged or neutral, and confined inside a
high-finesse optical resonator which enhances radiative emission into the
cavity mode. Using realistic experimental parameters and COS as a
representative molecular example, we show that in this setup cooling to the
trap ground state is feasible.
