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Radiation-Reaction and Angular Momentum Loss at $\mathcal{O}(G^4)$

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arxiv 2501.02904 v3 pith:57R5BCXF submitted 2025-01-06 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords angularmathcalmomentumlosscontributionloopsodd-in-velocityradiation-reaction
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We point out that the odd-in-velocity contribution to the $\mathcal{O}(G^4)$ radiated angular momentum for two-body scattering is determined by the radiation-reaction (RR) term in the one-loop waveform. This RR term is actually proportional to the tree-level waveform, and this reduces the calculation of the odd-in-velocity contribution to the $\mathcal{O}(G^4)$ angular momentum loss, $J_\text{2rad}$, to two loops, instead of three loops as one would expect by power counting. We exploit this simplification, which follows from unitarity, to obtain a closed-form expression for $J_\text{2rad}$ for generic velocities, which resums all fractional post-Newtonian (PN) corrections to the $\mathcal{O}(G^4)$ angular momentum loss starting at 1.5PN.

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Forward citations

Cited by 5 Pith papers

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    hep-th 2025-05 accept novelty 7.0 of 10

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