Universal relations for two- and three-point functions of the CFT energy-momentum tensor and the Weyl anomaly

We establish universal relations, valid for a generic conformal field theory in even dimension $d\geqslant6$, between the coefficients $\mathcal{A}$, $\mathcal{B}$, $\mathcal{C}$ of the energy-momentum tensor three-point function and the coefficients of the quadratic and cubic terms in the Weyl tens