  Stellar mass objects orbiting around supermassive black holes are primary
targets for future gravitational wave detectors like LISA. However, in theories
beyond general relativity, the corresponding waveform templates are still
relatively poorly known. We propose a universal description for these systems
which applies to any black hole with a non trivial scalar profile, or scalar
hair. To this aim, we use the effective field theory recently introduced by
Franciolini et al. to write the most general action for the perturbations of a
spherically symmetric solution up to some given order in derivatives and/or
number of fields. At any post-Newtonian order, the background metric and the
relevant operators can be encoded in a limited number of parameters which are
readily calculated in some given scalar tensor model, as we show with a couple
of examples. In terms of such parameters, we obtain an analytic expression for
the dissipated power in the odd sector by solving perturbatively the
Regge-Wheeler equation in the presence of a point-particle source.
