  I present evidence of a novel guise of superradiance that arises in black
hole binary spacetimes. Given the right initial conditions, a wave will be
amplified as it scatters off the binary. This process, which extracts energy
from the orbital motion, is driven by absorption across the horizons and is
most pronounced when the individual black holes are not spinning. Focusing on
real scalar fields, I demonstrate how modern effective field theory (EFT)
techniques enable the computation of the superradiant amplification factor
analytically when there exist large separations of scales. Although exploiting
these hierarchies inevitably means that the amplification factor is always
negligible (it is never larger than about one part in $10^{10}$) in the EFT's
regime of validity, this work has interesting theoretical implications for our
understanding of general relativity and lays the groundwork for future studies
on superradiant phenomena in binary systems.
