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

Autor: Brandhuber, Andreas, Brown, Graham R., Chen, Gang, De Angelis, Stefano, Gowdy, Joshua, Travaglini, Gabriele
Přispěvatelé: Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)
Jazyk: angličtina
Rok vydání: 2023
Předmět:
High Energy Physics - Theory
family
pole
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
bremsstrahlung
General Relativity and Quantum Cosmology
correction: quantum
effective field theory
factorization
black hole
tree approximation
spinless
neutron star
High Energy Astrophysical Phenomena (astro-ph.HE)
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
scattering
scattering amplitude
higher-order: 1
differential equations
propagator: massive
High Energy Physics - Theory (hep-th)
gravitation
gravitational radiation: emission
graviton
[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
spectral
master integral
Astrophysics - High Energy Astrophysical Phenomena
[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]
infrared problem
Zdroj: JHEP
JHEP, 2023, 06, pp.048. ⟨10.1007/JHEP06(2023)048⟩
Journal of High Energy Physics
DOI: 10.1007/JHEP06(2023)048⟩
Popis: Using a heavy-mass effective field theory (HEFT), we study gravitational-wave 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 $\Psi_4$.
Comment: 93 pages; v3: typos fixed, references added
Databáze: OpenAIRE