Gravitational Spin-Orbit Coupling through Third-Subleading Post-Newtonian Order: From First-Order Self-Force to Arbitrary Mass Ratios

115

We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $$ \mathcal{O} $$ O (G2) and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory to consider non-minimal coupling of the spinning objects to gravity. At the order that we consider, we establish the validity of the formula proposed in [1] that relates the impulse and spin kick in a scattering event to the eikonal phase.

Section: Jhep07(2021)037mentioning

confidence: 99%

Quadratic-in-spin Hamiltonian at $$ \mathcal{O} $$(G2) from scattering amplitudes

Kosmopoulos¹,

Luna²

2021

115

“…Consequently, incorporating spin effects in the dynamics of binary systems was a daunting task, with seminal steps in the work of [16][17][18][19][20][21][22][23][24], and (in comparison) until not that long ago spin effects in the perturbative Post-Newtonian (PN) expansion of small-velocity/weak-gravity were restricted to the spin-orbit sector and to next-to-leading order (NLO) [25][26][27][28]. 1 The state of affairs rapidly progressed thereafter, notably after to the development of the effective field theory (EFT) approach in [30,31] (see [32][33][34] for reviews), and spin effects in the PN conservative dynamics are currently known to N 2 LO [27,[35][36][37][38][39][40][41][42][43], and partial results at O(G 4 ) [44,45], with generic orientations; and to N 3 LO [46,47] with aligned-spin configurations. 2 This complements our knowledge of spin-independent conservative contributionsboth from potential and radiation-reaction effects -which are known up to N 5 LO [62][63][64][65][66][67][68][69]…”

Section: Introductionmentioning

confidence: 99%

Spin effects in the effective field theory approach to Post-Minkowskian conservative dynamics

Liu

Porto

Yang

2021

121

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a manifestly covariant framework. We introduce a systematic procedure to compute the total change in momentum and spin in the gravitational scattering of compact objects. For the special case of spins aligned with the orbital angular momentum, we show how to construct the radial action for elliptic-like orbits using the Boundary-to-Bound correspondence. As a paradigmatic example, we solve the scattering problem to next-to-leading PM order with linear and bilinear spin effects and arbitrary initial conditions, incorporating for the first time finite-size corrections. We obtain the aligned-spin radial action from the resulting scattering data, and derive the periastron advance and binding energy for circular orbits. We also provide the (square of the) center-of-mass momentum to $$ \mathcal{O}\left({G}^2\right) $$ O G 2 , which may be used to reconstruct a Hamiltonian. Our results are in perfect agreement with the existent literature, while at the same time extend the knowledge of the PM dynamics of compact binaries at quadratic order in spins.

“…A second direction for future work is the generalization of the GWL to soft gravitons for spinning emitters, as already observed. The growing demand for precision calculations in gravitational physics, and the crucial role that spin effects might have to this aim [101][102][103][104][105][106][107][108][109][110][111], make it natural to pursue this direction. Another aspect which is left for future work is a derivation of the GWL where the non-abelian nature of the soft background field is incorporated with additional Grassmann variables, on the line of the results obtained in the scalar case [24,121].…”

Section: Jhep02(2021)007mentioning

confidence: 99%

“…Besides, the GWL might provide an efficient way to extend the classical limit of soft theorems to subleading power [68,69,100]. Therefore, given the importance of spin in gravitational JHEP02(2021)007 physics [101][102][103][104][105][106][107][108][109][110][111], it would be desirable to extend the derivation of the GWL to particles of arbitrary spin.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic dynamics on the worldline for spinning particles

Bonocore

2021

There has been a renewed interest in the description of dressed asymptotic states à la Faddeev-Kulish. In this regard, a worldline representation for asymptotic states dressed by radiation at subleading power in the soft expansion, known as the Generalized Wilson Line (GWL) in the literature, has been available for some time, and it recently found applications in the derivation of factorization theorems for scattering processes of phenomenological relevance. In this paper we revisit the derivation of the GWL in the light of the well-known supersymmetric wordline formalism for the relativistic spinning particle. In particular, we discuss the importance of wordline supersymmetry to understand the contribution of the soft background field to the asymptotic dynamics. We also provide a derivation of the GWL for the gluon case, which was not previously available in the literature, thus extending the exponentiation of next-to-soft gauge boson corrections to Yang-Mills theory. Finally, we comment about possible applications in the current research about asymptotic states in scattering amplitudes for gauge and gravity theories and their classical limit.