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The eikonal phase which determines the Regge limit of the gravitationalscattering amplitude of a light particle off a heavy one in Minkowskispacetimes admits an expansion in the ratio of the Schwarzschild radius of theheavy particle to the impact parameter. Such an eikonal phase in AdS spacetimesof any dimensionality has been computed to all orders and reduces to thecorresponding Minkowski result when both the impact parameter and theSchwarzschild radius are much smaller than the AdS radius. The leading term inthe AdS eikonal phase can be reproduced in the dual CFT by a single stresstensor conformal block, but the subleading term is a result of an infinite sumof the double stress tensor contributions. We provide a closed form expressionfor the OPE coefficients of the leading twist double stress tensors in fourspacetime dimensions and perform the sum to compute the corresponding lightconebehavior of a heavy-heavy-light-light CFT correlator. The resulting compactexpression passes a few nontrivial independent checks. In particular, it agreeswith the subleading eikonal phase at large impact parameter.

Subleading Eikonal, AdS/CFT and Double Stress Tensors