Soft radiation from scattering amplitudes revisited

Manu, A R; Ghosh, Debodirna; Laddha, Alok; Athira, P V

doi:10.1007/jhep05(2021)056

Cited by 21 publications

(16 citation statements)

References 40 publications

(187 reference statements)

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“…This usually emerges when considering scattering of two or more compact objects. For more details, we refer the interested reader to [71,[78][79][80][81][82][83][84][85][86][87][88][89] where classical radiation has been studied through this correspondence. However, in this work we want to study stationary solutions for which there is no radiation in Lorentzian signature.…”

Section: General Setup and Connection To Amplitudesmentioning

confidence: 99%

Black Holes in Klein Space

Crawley,

Guevara,

Miller

et al. 2021

Preprint

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The analytic continuation of the general signature (1, 3) Lorentzian Kerr-Taub-NUT black holes to signature (2, 2) Kleinian black holes is studied. Their global structure is characterized by a toric Penrose diagram resembling their Lorentzian counterparts. Kleinian black holes are found to be self-dual when their mass and NUT charge are equal for any value of the Kerr rotation parameter a. Remarkably, it is shown that the rotation a can be eliminated by a large diffeomorphism; this result also holds in Euclidean signature. The continuation from Lorentzian to Kleinian signature is naturally induced by the analytic continuation of the Smatrix. Indeed, we show that the geometry of linearized black holes, including Kerr-Taub-NUT, is captured by (2, 2) three-point scattering amplitudes of a graviton and a massive spinning particle. This stands in sharp contrast to their Lorentzian counterparts for which the latter vanishes kinematically, and enables a direct link to the S-matrix.

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Section: General Setup and Connection To Amplitudesmentioning

confidence: 99%

Black Holes in Klein Space

Crawley,

Guevara,

Miller

et al. 2021

Preprint

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“…The classical four velocities u i are normalized to u 2 i = 1. The divergent integral I can be regulated using a cut-off regulator 5…”

Section: Leading Ordermentioning

confidence: 99%

“…The divergence of the color impulse is the familiar divergence due to the long-range nature of 1/r 2 forces in four-dimensions. 5 To obtain this result we have set up a differential equation for I instead of explicitly including a regulator L on the integration region. I satisfies bµ∂I /∂bµ = 1/(2π √ σ 2 − 1).…”

Section: Leading Ordermentioning

confidence: 99%

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Yang-Mills observables: from KMOC to eikonal through EFT

Cruz

Luna²,

Scheopner³

2022

J. High Energ. Phys.

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We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $$ \mathcal{O}\left({\alpha}^2\right) $$ O α 2 and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory (EFT) to consider color-charged objects. These results are checked against the direct integration of the observables in the Kosower-Maybee-O’Connell (KMOC) formalism. At the order we consider we find that the linear and color impulses in a scattering event can be concisely described in terms of the eikonal phase, thus extending the domain of applicability of a formula originally proposed in the context of spinning particles.

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“…Since we expect the description of a classical wave for a pure state to be possible in terms of a single coherent state [27,45], a naive crossing-symmetry argument suggests that it should also be possible to describe the final radiation in terms of coherent states. A lot of attention has been devoted so far to the soft expansion where coherent states arise naturally from classical currents [46][47][48][49][50][51], but the dynamics of how these states are generated by the scattering process is much less clear. 2 In this work, we compute the expectation value of the graviton number operator using the KMOC formalism, and we show how this is connected to unitarity cuts involving amplitudes with gravitons.…”

Section: Introductionmentioning

confidence: 99%

Graviton particle statistics and coherent states from classical scattering amplitudes

Britto,

Gonzo,

Jehu

2021

Preprint

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In the two-body scattering problem in general relativity, we study the final graviton particle distribution using a perturbative approach. We compute the mean, the variance and the factorial moments of the distribution from the expectation value of the graviton number operator in the KMOC formalism. For minimally coupled scalar particles, the leading deviation from the Poissonian distribution is given by the unitarity cut involving the six-point tree amplitude with the emission of two gravitons. We compute this amplitude in two independent ways. First, we use an extension of the Cheung-Remmen parametrization that includes minimally coupled scalars. We then repeat the calculation using on-shell BCFW-like techniques, finding complete agreement. In the classical limit, this amplitude gives a purely quantum contribution, proving that we can describe the final radiative state is coherent at least up to order O(G 4 ). Finally, we give general arguments about why we expect this to hold also at higher order in perturbation theory and what are the consequences for classical radiative observables.

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Soft radiation from scattering amplitudes revisited

Cited by 21 publications

References 40 publications

Black Holes in Klein Space

Black Holes in Klein Space

Yang-Mills observables: from KMOC to eikonal through EFT

Graviton particle statistics and coherent states from classical scattering amplitudes

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