Post-Minkowskian radial action from soft limits and velocity cuts

Bjerrum-Bohr, N. E. J.; Planté, Ludovic; Vanhove, Pierre

doi:10.1007/jhep03(2022)071

Cited by 37 publications

(23 citation statements)

References 68 publications

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“…The same result was obtained by us [18] by computing instead the infrared-divergent part of the two-loop, three-particle cut, which is entirely given by the leading soft limit of the five-point amplitude, and by then using analyticity and crossing symmetry to extract the two-loop radiation-reaction contribution to the real part of the eikonal and thus to the deflection angle. This result is by now confirmed by extracting the classical deflection angle from explicit two-loop calculations [19,20,21,22].…”

supporting

confidence: 58%

The eikonal operator at arbitrary velocities I: the soft-radiation limit

Vecchia¹,

Heissenberg²,

Russo³

et al. 2022

Preprint

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Observables related to the real part of the gravitational eikonal, such as the deflection angle and time delay, have been found so far to have a smooth post-Minkowskian (PM) expansion whose validity extends from the non-relativistic to the most extreme ultra-relativistic (UR) regime, which smoothly connects with massless particle collisions. To describe gravitational radiation, the eikonal phase has to be promoted to a unitary operator for which we motivate a proposal and start discussing properties in the softradiation limit. A convergent PM expansion is found to only hold below an UR bound (discussed in the GR literature in the seventies) above which a different expansion is instead needed implying, in general, some non-analyticity in Newton's constant. In this extreme UR regime soft radiative observables receive contributions only from gravitons and are therefore universal. This generalises the pattern discussed in [1] beyond the elastic case.

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supporting

confidence: 58%

The eikonal operator at arbitrary velocities I: the soft-radiation limit

Vecchia¹,

Heissenberg²,

Russo³

et al. 2022

Preprint

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“…[143] demonstrated a direct relation (5.3) between elastic four-point scattering amplitudes and the radial action for the scattering trajectory of the two particles. The radial action can thus be directly obtained from particular contributions to the four-point scattering amplitude [143,270]. Ref.…”

Section: Developing Toolsmentioning

confidence: 99%

Snowmass White Paper: Gravitational Waves and Scattering Amplitudes

Buonanno¹,

O’Connell²,

Roiban³

et al. 2022

Preprint

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We review recent progress and future prospects for harnessing powerful tools from theoretical high-energy physics, such as scattering amplitudes and effective field theory, to develop a precise and systematically improvable framework for calculating gravitational-wave signals from binary systems composed of black holes and/or neutron stars. This effort aims to provide state-of-the-art predictions that will enable high-precision measurements at future gravitational-wave detectors. In turn, applying the tools of quantum field theory in this new arena will uncover theoretical structures that can transform our understanding of basic phenomena and lead to new tools that will further the cycle of innovation. While still in a nascent stage, this research direction has already derived new analytic results in general relativity, and promises to advance the development of highly accurate waveform models for ever more sensitive detectors.

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“…This has been assembled into a computational framework in Ref. [140] where the radial action has been tied to certain velocity cuts (see also Ref. [141] for related work).…”

Section: Soft Radial Action and Master Integral Subtraction Of Classi...mentioning

confidence: 99%

“…[93] and the relation to the velocity cuts of Ref. [140] as well as the heavy-particle effective theory implementation of related ideas of Ref. [141].…”

Section: Radiative Radial Actionmentioning

confidence: 99%

Scalar QED as a toy model for higher-order effects in classical gravitational scattering

Bern,

Gatica,

Herrmann

et al. 2021

Preprint

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Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth order in the charges (two-loop order) in a classical regime analogous to the post-Minkowskian expansion in General Relativity. We employ modern scattering amplitude tools and extract classical observables by both eikonal methods and the formalism of Kosower, Maybee, and O'Connell (KMOC). In addition, we provide a simplified approach to extracting the radial action beyond the conservative sector.

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Post-Minkowskian radial action from soft limits and velocity cuts

Cited by 37 publications

References 68 publications

The eikonal operator at arbitrary velocities I: the soft-radiation limit

The eikonal operator at arbitrary velocities I: the soft-radiation limit

Snowmass White Paper: Gravitational Waves and Scattering Amplitudes

Scalar QED as a toy model for higher-order effects in classical gravitational scattering

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