  In a perturbative approach Einstein-Hilbert gravity is quantized about a flat
background. In order to render the model power counting renormalizable, higher
order curvature terms are added to the action. They serve as Pauli-Villars type
regulators and require an expansion in the number of fields in addition to the
standard expansion in the number of loops. Renormalization is then performed
within the BPHZL scheme, which provides the action principle to construct the
Slavnov-Taylor identity and invariant differential operators. The final
physical state space of the Einstein-Hilbert theory is realized via the quartet
mechanism of Kugo and Ojima. Renormalization group and Callan-Symanzik equation
are derived for the Green functions and, formally, also for the $S$-matrix.
