  We use a de Sitter breaking graviton propagator to compute the tree order
correlator between noncoincident Weyl tensors on a locally de Sitter
background. An explicit, and very simple result is obtained, for any spacetime
dimension D, in terms of a de Sitter invariant length function and the tensor
basis constructed from the metric and derivatives of this length function. Our
answer does not agree with the one derived previously by Kouris, but that
result must be incorrect because it not transverse and lacks some of the
algebraic symmetries of the Weyl tensor. Taking the coincidence limit of our
result (with dimensional regularization) and contracting the indices gives the
expectation value of the square of the Weyl tensor at lowest order. We propose
the next order computation of this as a true test of de Sitter invariance in
quantum gravity.
