Conservative tidal effects in compact binary systems to next-to-leading post-Minkowskian order

100

We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor. Scattering amplitudes in momentum and position space provide systematic complementary approaches. For the tidal operators quadratic in curvature, which describe the linear response to an external gravitational field, we work out the leading post-Minkowskian contributions using a basis of operators with arbitrary numbers of derivatives which are in one-to-one correspondence with the worldline multipole operators. Explicit examples are used to show that the same techniques apply to both bodies interacting tidally with a spinning particle, for which we find the leading contributions from quadratic in curvature tidal operators with an arbitrary number of derivatives, and to effective field theory extensions of general relativity. We also note that the leading post-Minkowskian order contributions from higher-dimension operators manifest double-copy relations. Finally, we comment on the structure of higher-order corrections.

“…At the next-to-leading order the contributions of low-derivative R 2 tidal operators to the two-body Hamiltonian and to the scattering angle were determined in refs. [83,106].…”

Section: Jhep05(2021)188mentioning

confidence: 99%

“…[24], and recently adapted to the PM framework in ref. [106]. In the QFT language this approach has been recently used in refs.…”

Section: Jhep05(2021)188mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Leading nonlinear tidal effects and scattering amplitudes

Bern¹,

Parra-Martinez

Roiban

et al. 2021

100

“…Although amplitudes are rooted in quantum field theory, in recent years there has been an explosion of interest in applications of amplitudes to classical physics [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. This is motivated by the applicability of the results for elastic and inelastic [45][46][47][48][49][50][51][52][53][54][55][56][57] gravitational scattering of two massive particles to gravitational-wave physics [58][59][60][61][62][63][64][65][66][67][68][69][70][71][72], as JHEP03(2021)201 well as by the search for the underlying principles behind the double-copy relationship between gauge theory and gravity [4,…”

Section: Introductionmentioning

confidence: 99%

A worldsheet for Kerr

Guevara

Maybee

Ochirov

et al. 2021

100

We show that the Newman-Janis shift property of the exact Kerr solution can be interpreted in terms of a worldsheet effective action. This holds both in gravity, and for the single-copy $$ \sqrt{\mathrm{Kerr}} $$ Kerr solution in electrodynamics. At the level of equations of motion, we show that the Newman-Janis shift holds also for the leading interactions of the Kerr black hole. These leading interactions are conveniently described using chiral classical equations of motion with the help of the spinor-helicity method familiar from scattering amplitudes.

“…Ref. [40] extended these results to a larger subset of these tidal operators, as well as to the next-to-leading PM order. Incorporating spin, refs.…”

Section: Introductionmentioning

confidence: 86%

Tidal effects for spinning particles

Aoude

Haddad

Helset

2021

Expanding on the recent derivation of tidal actions for scalar particles, we present here the action for a tidally deformed spin-1/2 particle. Focusing on operators containing two powers of the Weyl tensor, we combine the Hilbert series with an on-shell amplitude basis to construct the tidal action. With the tidal action in hand, we compute the leading-post-Minkowskian tidal contributions to the spin-1/2–spin-1/2 amplitude, arising at $$ \mathcal{O} $$ O (G2). Our amplitudes provide evidence that the observed long range spin-universality for the scattering of two point particles extends to the scattering of tidally deformed objects. From the scattering amplitude we find the conservative two-body Hamiltonian, linear and angular impulses, eikonal phase, spin kick, and aligned-spin scattering angle. We present analogous results in the electromagnetic case along the way.