One-loop gravitational bremsstrahlung and waveforms from a heavy-mass effective field theory

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Dokumenter

  • Andreas Brandhuber
  • Graham R. Brown
  • Chen, Gang
  • Stefano De Angelis
  • Joshua Gowdy
  • Gabriele Travaglini

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 Ψ4.

OriginalsprogEngelsk
Artikelnummer48
TidsskriftJournal of High Energy Physics
Vol/bind2023
Udgave nummer6
Antal sider71
ISSN1126-6708
DOI
StatusUdgivet - jun. 2023

Bibliografisk note

Funding Information:
We would like to thank Asaad Elkhidir, Aidan Herderschee, Donal O’Connell, Radu Roiban, Matteo Sergola, Fei Teng and Ingrid Vazquez-Holm for coordination on ongoing work. We thank Congkao Wen for initial collaboration on this project and interesting discussions on related topics, Fabian Bautista, Brando Bellazzini, Donato Bini, Alessandra Buonanno, Thibault Damour, Riccardo Gonzo, Pavel Novichkov, Jan Plefka and Rodolfo Russo for several interesting conversations, Zheyong Fan for aid on numerical integrations, Roman Lee for help with the LiteRed2 package, and Alex Owen for computer assistance. AB, GB, JG and GT would like to thank the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara, where their research was supported in part by the National Science Foundation under Grant No. PHY-1748958. This work was supported by the Science and Technology Facilities Council (STFC) Consolidated Grants ST/P000754/1 “String theory, gauge theory & duality” and ST/T000686/1 “Amplitudes, strings & duality” , and by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 764850 “SAGEX”. The work of GRB and JG is supported by an STFC quota studentship. GC has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 847523 “INTERACTIONS”. SDA’s research is supported by the European Research Council, under grant ERC-AdG-885414. This research utilised Queen Mary’s Apocrita HPC facility, supported by QMUL Research-IT. No new data were generated or analysed during this study.

Funding Information:
We would like to thank Asaad Elkhidir, Aidan Herderschee, Donal O’Connell, Radu Roiban, Matteo Sergola, Fei Teng and Ingrid Vazquez-Holm for coordination on ongoing work. We thank Congkao Wen for initial collaboration on this project and interesting discussions on related topics, Fabian Bautista, Brando Bellazzini, Donato Bini, Alessandra Buonanno, Thibault Damour, Riccardo Gonzo, Pavel Novichkov, Jan Plefka and Rodolfo Russo for several interesting conversations, Zheyong Fan for aid on numerical integrations, Roman Lee for help with the LiteRed2 package, and Alex Owen for computer assistance. AB, GB, JG and GT would like to thank the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara, where their research was supported in part by the National Science Foundation under Grant No. PHY-1748958. This work was supported by the Science and Technology Facilities Council (STFC) Consolidated Grants ST/P000754/1 “String theory, gauge theory & duality” and ST/T000686/1 “Amplitudes, strings & duality”, and by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 764850 “SAGEX”. The work of GRB and JG is supported by an STFC quota studentship. GC has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 847523 “INTERACTIONS”. SDA’s research is supported by the European Research Council, under grant ERC-AdG-885414. This research utilised Queen Mary’s Apocrita HPC facility, supported by QMUL Research-IT. No new data were generated or analysed during this study.

Publisher Copyright:
© 2023, The Author(s).

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