  In the present work we study the propagation of a probe nonminimally coupled
scalar field in BTZ black hole background. We find analytical expressions for
the reflection coefficient, the absorption cross-section, and the decay rate in
the strong coupling case, where the nonminimal coupling is larger than its
conformal value $\xi_{c}= 1/6$. Our main results are summarized in several
figures, in which we show how the behavior of the aforementioned quantities
depends on the parameters of the theory. Our findings show that i) the
reflection coefficient tends to zero only for a nonminimal coupling $\xi \geq
0.25$, and ii) in the zero angular-momentum case the greybody factor in the low
energy regime tends to a finite constant that generically does not coincide
with the area of the horizon of the black hole. There is, however, a special
case in which this holds.
