Infrared divergences and the eikonal exponentiation

The aim of this note is to explore the interplay between eikonal resummation in impact-parameter space and exponentiation infrared divergences momentum for gravity amplitudes describing collisions massive objects. governs classical dynamics relevant two-body problem, its properties are directly linked zero-frequency limit gravitational wave emission spectrum radiation-reaction effects. Combining exponentiations it possible derive these at a given loop order starting from lower-loop data. This illustrated explicitly $\mathcal{N}=8$ supergravity general relativity by deriving divergent part two-loop tree-level one-loop elastic amplitudes.