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2014

Gravitational spin Hamiltonians from the S matrix

Vaidya, Varun

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We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation.

Using these methods offers great computational advantage over traditional techniques involving feynman diagrams, especially at higher orders in the PN expansion.
As a specific example, we reproduce the spin-orbit interaction up to 2.5 PN order as also the leading order $S^2$(3PN) hamiltonian for an arbitrary massive object.
We also obtain the unknown $S^3$(3.5PN) spin hamiltonian for an arbitrary massive object in terms of its low frequency linear response to gravitational perturbations, which was till now known only for a black hole.

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