  Compact boson star binaries are hypothetical sources for ground-based and
space gravitational-wave detectors. Their signal would be a messenger for novel
fundamental fields and could shed light on the dark matter. In this work, we
further develop our analysis in Phys. Rev. D 102, 083002 (2020), aimed at
constraining the properties of these objects with future observations. We use a
coherent waveform template for the inspiral stage of boson star binaries with
large quartic self interactions, including tidal deformability and the
nonlinear dependence of the quadrupole moments on the spin in terms of the
fundamental couplings of the scalar field theory. Performing a Bayesian
analysis, we investigate the ability of a third-generation gravitational-wave
detector such as the Einstein Telescope to distinguish these exotic sources
from black holes and infer constraints on the fundamental couplings of the
model.
