Aneesh V. ManoharAlexander K. RidgwayChia-Hsien Shen2024-10-092024-10-092022-09-12https://scholars.lib.ntu.edu.tw/handle/123456789/721921We present a new formula for the angular momentum Jμν carried away by gravitational radiation in classical scattering. This formula, combined with the known expression for the radiated linear momentum Pμ, completes the set of radiated Poincaré charges due to scattering. We parametrize Pμ and Jμν by nonperturbative form factors and derive exact relations using the Poincaré algebra. There is a contribution to Jμν due to static (zero-frequency) modes, which can be derived from Weinberg's soft theorem. Using tools from scattering amplitudes and effective field theory, we calculate the radiated Jμν due to the scattering of two spinless particles to third order in Newton's constant G, but to all orders in velocity. Our form-factor analysis elucidates a novel relation found by Bini, Damour, and Geralico between energy and angular momentum loss at O(G3). Our new results have several nontrivial implications for binary scattering at O(G4). We give a procedure to bootstrap an effective radiation reaction force from the loss of Poincaré charges due to scattering.[SDGs]SDG7journal article10.1103/physrevlett.129.121601