  We derive the energy fluxes radiated by compact binary systems, including
"hairy" black holes, in Einstein-Maxwell-dilaton theories, for circular orbits
and at quadrupolar order. This enables to include in their resummed
effective-one-body (EOB) dynamics the effect of the radiation reaction force at
the origin of their inspiral and merger. We also exhibit typical examples of
the resulting tensor and scalar waveforms.
