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We consider gravitational massive scalar-scalar scattering from unitarity anddemonstrate how intermediate soft graviton behavior and the concept ofextracting classical physics from localization of integrands on velocity cutsdevise an efficient extraction scheme for computing the classicalpost-Minkowskian radial action perturbatively. We demonstrate the computationalefficiency by deriving the scattering amplitudes in the probe regime to thefifth post-Minkowskian order in arbitrary dimensions.

Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts