The frequency-domain gravitational waveform emitted by the scattering of two nonspinning massive particles has recently been derived at next-to-leading, i.e., one-loop, post-Minkowskian order, $h(\omega ,\theta ,\varphi )\sim G^2+G^3$. Building on this one-loop-accurate frequency-domain gravitational waveform, we successively derive the spectral gravitational-wave (GW) radiance, $d{E}^{\mathrm{gw}}/(d\omega d\mathrm{\Omega })$, the radiated GW energy spectrum, $d{E}^{\mathrm{gw}}/d\omega$, and the radiated GW angular distribution, $d{E}^{\mathrm{gw}}/d\mathrm{\Omega }$, up to order $G^4$ included. We deduce from the radiated angular distribution the multipole expansion of the nonlinear memory up to order $G^5$ included, thereby extending previous results. We work in the center-of-mass frame, and our results reach the fractional 7.5PN accuracy. For completeness, we include the tree-level information (considered in the center-of-mass frame).

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• General relativity