Simplifying 
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-dimensional physical-state sums in gauge theory and gravity

Kosmopoulos, Dimitrios

doi:10.1103/physrevd.105.056025

Cited by 15 publications

(2 citation statements)

References 53 publications

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“…Note that if the dilaton is included in the state sum, then the polarisation tensors ε αβ = ε α ε β are no longer traceless. Since the HEFT amplitudes are manifestly gauge-invariant, we are entitled to make the simplification P αβ → η αβ [175] in (5.11). This corresponds to the state sum shown and used already earlier in (4.9).…”

Section: Cut Onementioning

confidence: 99%

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One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory

Brandhuber¹,

Brown²,

Chen³

et al. 2023

Preprint

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Using a heavy-mass effective field theory (HEFT), we study gravitationalwave emission in the scattering of two spinless black holes or neutron stars of arbitrary masses at next-to-leading order in the Post-Minkowskian expansion. We compute the contributions to the one-loop scattering amplitude with four scalars and one graviton which are relevant to the calculation of the waveforms, also presenting expressions of classical tree-level amplitudes with four scalars and up to two radiated gravitons. The latter are obtained using a novel on-shell recursion relation for classical amplitudes with four scalars and an arbitrary number of gravitons. Our one-loop five-point amplitude is expressed in terms of a single family of master integrals with the principal value prescription for linearised massive propagators, which we evaluate using differential equations. In our HEFT approach, soft/heavy-mass expansions of complete integrands are avoided, and all hyper-classical iterations and quantum corrections are dropped at the diagrammatic level, thereby computing directly contributions to classical physics. Our result exhibits the expected factorisation of infrared divergences, the correct soft limits, and highly nontrivial cancellations of spurious poles. Finally, using our amplitude result we compute numerically the corresponding next-to-leading corrections to the spectral waveforms and the far-field time-domain waveforms using the Newman-Penrose scalar Ψ 4 .

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Section: Cut Onementioning

confidence: 99%

“…We remind the reader that in this paper we denote as A and M the amplitudes containing two or four massive scalars, respectively.12 For an interesting discussion of completeness relations see[175].…”

mentioning

confidence: 99%

One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory

Brandhuber¹,

Brown²,

Chen³

et al. 2023

Preprint

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Double-copy towards supergravity inflation with α-attractor models

Carrasco

Lewandowski

Pavao

2023

J. High Energ. Phys.

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Key to the simplicity of supergravity α-attractor models of inflation are Volkov-Akulov fermions, often in the form of nilpotent superfields. Here we explore the possibility of using the double-copy to construct theories of Dirac-Born-Infeld-Volkov-Akulov (DBIVA) coupled to supergravity. A color-dual bootstrap admits scattering amplitudes involving pions and vectors through five-point tree-level order by order in mass-dimension, but requires the introduction of a Tr(F3) operator. Gauge theories with this operator were recently found to require a tower of higher-derivative operators to be compatible with the duality between color and kinematics. Adjoint-type double-copy construction at its most conservative seems to require the UV completion of DBIVA + pure Poincaré supergravity scattering amplitudes to a family of theories involving DBIVA-like particles coupled to Weyl-Einstein supergravity. We also point out an alternative solution to color-dual gauged pions that allows adjoint double-copy without a tower of higher derivative corrections but at the cost of exchange symmetry between scalars.

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Gravitational self force from scattering amplitudes in curved space

Kosmopoulos,

Solon

2024

J. High Energ. Phys.

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We employ scattering amplitudes in curved space to model the dynamics of a light probe particle with mass m orbiting in the background spacetime induced by a heavy gravitational source with mass M. Observables are organized as an expansion in m/M to all orders in G — the gravitational self-force expansion. An essential component of our analysis is the backreaction of the heavy source which we capture by including the associated light degrees of freedom. As illustration we consider a Schwarzschild background and verify geodesic motion as well as the first-order self-force correction to two-body scattering through $$\mathcal{O}$$(G3). Amplitudes in curved space offer several advantages, and further developments along these lines may advance the computation of gravitational-wave signals for extreme-mass-ratio inspirals.

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Simplifying D -dimensional physical-state sums in gauge theory and gravity

Cited by 15 publications

References 53 publications

One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory

One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory

Double-copy towards supergravity inflation with α-attractor models

Gravitational self force from scattering amplitudes in curved space

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