  We study three-body recombination in two dimensions for systems interacting
via short-range two-body interactions in the regime of large scattering
lengths. Using the adiabatic hyperspherical representation, we derive
semi-analytical formulas for three-body recombination in both weakly and deeply
bound diatom states. Our results demonstrate the importance of long-range
corrections to the three-body potentials by showing how they alter the
low-energy and scattering length dependence of the recombination rate for both
bosonic and fermionic systems, which exhibit suppressed recombination if
compared to the three-dimensional case. We verify these results through
numerical calculations of recombination for systems with finite-range
interactions and supporting a few two-body bound states. We also study
finite-range effects for the energies of the universal three-identical-bosons
states and found a slow approach to universal predictions as a function of the
scattering length.
