Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order

Cho, Gihyuk; Pardo, Brian; Porto, Rafael A.

doi:10.1103/physrevd.104.024037

Cited by 52 publications

(29 citation statements)

References 105 publications

(239 reference statements)

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“…[30,38] for the computation of worldline and spin deflections (shown to be in agreement with the amplitude based results [55,62]). The EFT approach was applied to radiation also in the PN approximation [86][87][88][89][90] -see refs. [91,92] for more traditional methods.…”

Section: Jhep01(2022)027mentioning

confidence: 99%

SUSY in the sky with gravitons

Jakobsen

Mogull

Plefka

et al. 2022

J. High Energ. Phys.

105

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Picture yourself in the wave zone of a gravitational scattering event of two massive, spinning compact bodies (black holes, neutron stars or stars). We show that this system of genuine astrophysical interest enjoys a hidden $$ \mathcal{N} $$ N = 2 supersymmetry, at least to the order of spin-squared (quadrupole) interactions in arbitrary D spacetime dimensions. Using the $$ \mathcal{N} $$ N = 2 supersymmetric worldline action, augmented by finite-size corrections for the non-Kerr black hole case, we build a quadratic-in-spin extension to the worldline quantum field theory (WQFT) formalism introduced in our previous work, and calculate the two bodies’ deflection and spin kick to sub-leading order in the post-Minkowskian expansion in Newton’s constant G. For spins aligned to the normal vector of the scattering plane we also obtain the scattering angle. All D-dimensional observables are derived from an eikonal phase given as the free energy of the WQFT that is invariant under the $$ \mathcal{N} $$ N = 2 supersymmetry transformations.

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Section: Jhep01(2022)027mentioning

confidence: 99%

SUSY in the sky with gravitons

Jakobsen

Mogull

Plefka

et al. 2022

J. High Energ. Phys.

105

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“…The worldline approach has been extended to the PM approximation [94][95][96][97][98][99]. In this scheme, one expands the body trajectories around rectilinear motion, each order in the expansion carrying an additional power of G. Combined with the powerful methods of IBP reduction and differential equations to solve the integrals involved in the calculations, this approach has allowed to quickly reach most of the state-of-the-art results achieved by scattering-amplitude techniques [100][101][102][103][104].…”

Section: Jhep11(2021)228mentioning

confidence: 99%

Radiated momentum in the post-Minkowskian worldline approach via reverse unitarity

Riva

Vernizzi

2021

J. High Energ. Phys.

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We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton’s contant G and at all orders in the velocities, using the Effective Field Theory worldline approach. Following [1], we derive the conserved stress-energy tensor linearly coupled to gravity generated by localized sources, at leading and next-to-leading order in G, and from that the classical probability amplitude of graviton emission. The total emitted momentum is obtained by phase-space integration of the graviton momentum weighted by the modulo squared of the radiation amplitude. We recast this as a two-loop integral that we solve using techniques borrowed from particle physics, such as reverse unitarity, reduction to master integrals by integration-by-parts identities and canonical differential equations. The emitted momentum agrees with recent results obtained by other methods. Our approach provides an alternative way of directly computing radiated observables in the post-Minkowskian expansion without going through the classical limit of scattering amplitudes.

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“…Partial results for the gravitational potential are now available up to 6PN order [88][89][90][91][92][93]; in the PM expansion recent progress has closely followed the QFT programme [94][95][96][97][98] including at 4PM order [99,100]. To handle spin a local co-rotating frame is often introduced [101][102][103]: quadratic-in-spin results are available up to 5PN (N 3 LO) [104][105][106][107][108][109][110][111][112] and 2PM orders [113] -until now at 4PN order the former have remained unchecked.…”

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confidence: 99%