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Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order

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arxiv 2210.05541 v1 pith:FELZ5EN3 submitted 2022-10-11 hep-th gr-qc

classification hep-thgr-qc
keywords fourthorderpost-minkowskiantotalagreementassociatedbinariesbound
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total radiated spacetime momentum as well as the associated energy flux. The latter can be used to compute gravitational-wave observables for generic (un)bound orbits. We employ the ("in-in") Schwinger-Keldysh worldline effective field theory framework in combination with modern "multi-loop" integration techniques from collider physics. The complete results are in agreement with various partial calculations in the Post-Newtonian/Minkowskian expansion.

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Cited by 14 Pith papers

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