  In this paper, we discuss an effective theory for quantum gravity and discuss
the bounds on the parameters of this effective action. In particular we show
that measurement in pulsars binary systems are unlikely to improve the bounds
on the coefficients of the $R^2$ and $R_{\mu\nu} R^{\mu\nu}$ terms obtained
from probes of Newton's potential performed on Earth. Furthermore, we argue
that if the coefficients of these terms are induced by quantum gravity, they
should be at most of order unity since $R^2$ and $R_{\mu\nu} R^{\mu\nu}$ are
dimension four operators. The same applies to the non-minimal coupling of the
Higgs boson to the Ricci scalar.
