  We analyze the outcome of the interaction between a stellar binary and a
supermassive black hole binary (SMBHB) by performing a large number of
gravitational scattering experiments. Most of the encounters result in either
the ejection of an intact binary or the ejection of two individual stars
following the tidal breakup of the binary. However, tidal disruption events
(TDEs) and mergers constitute a few percent of the outcomes, and double,
temporally distinct TDEs (i.e., separated by at least one orbit of the
supermassive black hole binary) occur at the percent level. We also demonstrate
that the properties of the ejected binaries are significantly altered through
the interaction with the SMBHB, and their large eccentricities increase the
merger rate and could lead to gravitational-wave inspirals far from the nucleus
of the host galaxy. We discuss our results in the context of observed tidal
disruption events, hypervelocity stars, and remote supernovae, such as
calcium-rich transients.
