Revisiting the 2PM eikonal and the dynamics of binary black holes

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In this paper we study the two-body gravitational scattering of massive scalars with different masses in general spacetime dimensions.

• We focus on the Regge limit (eikonal regime) of the resulting scattering amplitudes and discuss how to extract the classical information representing the scattering of two black holes.
• We derive the leading eikonal and explicitly show the resummation of the first leading energy contribution up to second order in Newton's gravitational constant.
• We also calculate the subleading eikonal showing that in general spacetime dimensions it receives a non-trivial contribution from the box integral.