  We propose a renormalisable quantum theory of gravity (QGED) based on the
standard BRST quantisation used to quantise the Yang-Mills theory. The
BRST-invariant Lagrangian of the gravitationally interacting $U(1)$-gauge
theory, including gauge fixing and ghost parts, is provided. From this
Lagrangian, we extract a set of Feynman rules in the local inertial frame where
gravity vanishes locally. Utilising Feynman rules of the QGED prepared here, we
construct all renormalisation constants and show that the theory is
perturbatively renormalisable in one-loop order. We replace infinite-valued
bare objects in the bare Lagrangian with experimentally measured ones. In
addition to standard QED parameters, we show that the gravitational coupling
constant is measurable experimentally.
  We also discuss a running effect of the gravitational coupling constant and
the perturbative estimation of the Hawking radiation as examples of the
perturbative QGED.
