Post-Newtonian waveforms from spinning scattering amplitudes

Abstract

We derive the classical gravitational radiation from an aligned spin binary black hole on closed orbits, using a dictionary built from the 5-point QFT scattering amplitude of two massive particles exchanging and emitting a graviton. We show explicitly the agreement of the transverse-traceless components of the radiative linear metric perturbations — and the corresponding gravitational wave energy flux — at future null infinity, derived from the scattering amplitude and those derived utilizing an effective worldline action in conjunction with multipolar post-Minkowskian matching. At the tree-level, this result holds at leading orders in the black holes’ velocities and up to quadratic order in their spins. At sub-leading order in black holes’ velocities, we demonstrate a matching of the radiation field for quasi-circular orbits in the no-spin limit. At the level of the radiation field, and to leading order in the velocities, there exists a one-to-one correspondence between the binary black hole mass and current quadrupole moments, and the scalar and linear-in-spin scattering amplitudes, respectively. Therefore, we show explicitly that waveforms, needed to detect gravitational waves from inspiraling binary black holes, can be derived consistently, to the orders considered, from the classical limit of quantum scattering amplitudes.

Black Holes in Klein Space

“…This usually emerges when considering scattering of two or more compact objects. For more details, we refer the interested reader to [71,[78][79][80][81][82][83][84][85][86][87][88][89] where classical radiation has been studied through this correspondence. However, in this work we want to study stationary solutions for which there is no radiation in Lorentzian signature.…”

From Boundary Data to Bound States III: Radiative Effects

“…With the goal of using Post-Minkowskian (PM) scattering data -obtained through (quantum) amplitude-based, e.g. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], and (classical) EFT-based, e.g. [19][20][21][22][23][24][25][26][27][28][29][30][31][32], methodologies -to construct high-precision Post-Newtonian (PN) waveform models, e.g.…”

Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory

“…While the classical limit is now well understood in the non-spinning case as a soft limit [20,34,35,[61][62][63], the situation is further complicated by the need to re-interpret quantized spin degrees of freedom in a classical setting [64][65][66][67]. Nevertheless, these obstacles have been successfully overcome at 2PM order [26,68,69] up to quartic order in spin [70]; other studies of higherspin amplitudes in this context have been done [71][72][73][74][75][76][77][78][79][80][81].…”