  In this paper we work in perturbative quantum gravity and we introduce a new
effective model for gravity. Expanding the Einstein-Hilbert Lagrangian in
graviton field powers we have an infinite number of terms. In this paper we
study the possibility of an interpretation of more than three graviton
interacting vertices as effective vertices of a most fundamental theory that
contain tensor fields. Here we introduce a Lagrangian model named I.T.B
(Intermediate Tensor Boson) where four gravitational "pseudo-currents" that
contain two gravitons couple to three massive tensorial fields of rank 1, 3, 5
respectively. We show that the exchange of those massive particles reproduces,
at low energy, the interacting vertices for four or more gravitons. In a
particular version, the model contains a dimensionless coupling constant "g"
and the mass M of the intermediate bosons as free parameters. The universal
gravitational constant G is shown to be proportional to the inverse of mass
squared of mediator fields. A foresighting choice of the dimensionless coupling
constant could lower the energy scale where quantum gravity aspects show up.
