NLO deflections for spinning particles and Kerr black holes

Menezes, G.; Sergola, Matteo

doi:10.1007/jhep10(2022)105

Cited by 30 publications

(6 citation statements)

References 144 publications

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“…When one of the objects has a significantly larger mass than the other, it would effectively acts as a background as in our calculation. Finally, it would be interesting to extend our results with radiation to a Kerr background, motivated by the possibility of describing exact geodesic motion with perturbative methods [179,180]. We hope to explore this in future work.…”

Section: Discussionmentioning

confidence: 92%

Scattering amplitudes for self-force

Adamo,

Cristofoli,

Ilderton

et al. 2024

Class. Quantum Grav.

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The self-force expansion allows the study of deviations from geodesic motion due to the emission of radiation and its consequent back-reaction. We investigate this scheme within the on-shell framework of semiclassical scattering amplitudes for particles emitting photons or gravitons on a static, spherically symmetric background. We ﬁrst present the exact scalar 2-point amplitudes for Coulomb and Schwarzschild, from which one can extract classical observables such as the change in momentum due to geodesic motion. We then present, for the ﬁrst time, the 3-point semiclassical amplitudes for a scalar emitting a photon in Coulomb and a graviton on linearised Schwarzschild, outlining how the latter calculation can be generalized to the fully non-linear Schwarzschild metric. Our results are proper resummations of perturbative amplitudes in vacuum but, notably, are expressed in terms of Hamilton’s principal function for the backgrounds, rather than the radial action.

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Section: Discussionmentioning

confidence: 92%

Scattering amplitudes for self-force

Adamo,

Cristofoli,

Ilderton

et al. 2024

Class. Quantum Grav.

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“…Nevertheless, it would be interesting to further explore the extent to which the treelevel BN amplitude is able to capture relevant spin effects in the ultrarelativistic limit. That is, just because the Born approximation is not totally physical doesn't mean that it cannot encode some of the classical spin effects associated with Kerr (cf., [53,[96][97][98][99][100][101][102]). By analogy, we saw that the ultraboost of Kerr orthogonal to the axis of rotation did not contain true spin effects, but a naive replacement rule nevertheless correctly reproduces the bending of light in the Kerr metric [54,55].…”

Section: Discussionmentioning

confidence: 99%

The ultrarelativistic limit of Kerr

Adamo

Cristofoli

Tourkine

2023

J. High Energ. Phys.

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The massless (or ultrarelativistic) limit of a Schwarzschild black hole with fixed energy was determined long ago in the form of the Aichelburg-Sexl shockwave, but the status of the same limit for a Kerr black hole is less clear. In this paper, we explore the ultrarelativistic limit of Kerr in the class of Kerr-Schild impulsive pp-waves by exploiting a relation between the metric profile and the eikonal phase associated with scattering between a scalar and the source of the metric. This gives a map between candidate metrics and tree-level, 4-point scattering amplitudes. At large distances from the source, we find that all candidates for the massless limit of Kerr in this class do not have spin effects. This includes the metric corresponding to the massless limit of the amplitude for gravitational scattering between a scalar and a massive particle of infinite spin. One metric, discovered by Balasin and Nachbagauer, does have spin and finite size effects at short distances, leading to a remarkably compact scattering amplitude with many interesting properties. We also discuss the classical single copy of the ultrarelativistic limit of Kerr in electromagnetism.

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“…In this study we aimed to bring the discussion on quantum-gravity phenomenology to the context of quantum general relativity. As argued above, gravitational-wave physics may be envisaged as a prediction from low-energy quantum gravity, and as such one may take advantage of current explorations of modern amplitude tools for solving the two-body problem in gravity [103][104][105][106][107][108][109][110][111][112][113]. Indeed, the relevance of scattering amplitudes to the classical potential was already understood some time ago [30,31,[114][115][116][117][118] and many important insights have arisen since then.…”

Section: Discussionmentioning

confidence: 99%

Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity

Menezes

2023

Class. Quantum Grav.

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Multi-messenger astronomy provides us with the possibility of discovering phenomenological signatures of quantum-gravity effects. This should be of paramount importance in the pursuit of an elusive quantum theory for the gravitational interactions. Here we discuss feasible explorations within the effective field theory treatment of general relativity. By exploring current techniques borrowed from modern amplitude methods, we calculate leading quantum corrections to the classical radiated momentum and spectral waveforms. The lessons drawn from these low-energy results are that phenomenological applications in gravitational-wave physics can be discussed in line with the effective field theory approach. In turn, we also examine possible phenomenological surveys from the perspective of a UV completion for quantum gravity which employs the metric as the fundamental dynamical variable, namely quadratic gravity. Being more specific, by resorting to the eikonal approximation, we compute the leading-order time delay/advance in the scattering of light by a heavy object and find a possible significant deviation from the standard general-relativity prediction. This allows us to probe causal uncertainty due to quantum fluctuations of the gravitational field as a genuine prediction from Planck-scale physics.

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NLO deflections for spinning particles and Kerr black holes

Cited by 30 publications

References 144 publications

Scattering amplitudes for self-force

Scattering amplitudes for self-force

The ultrarelativistic limit of Kerr

Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity

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