Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equations
Abstract We use N $$ \mathcal{N} $$ = 8 supergravity as a toy model for understanding the dynamics of black hole binary systems via the scattering amplitudes approach. We compute the conservative part of the classical scattering angle of two extremal (half-BPS) black holes with minimal charge misali...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2020)023 |
| _version_ | 1819226744108875776 |
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| author | Julio Parra-Martinez Michael S. Ruf Mao Zeng |
| author_facet | Julio Parra-Martinez Michael S. Ruf Mao Zeng |
| author_sort | Julio Parra-Martinez |
| collection | DOAJ |
| description | Abstract We use N $$ \mathcal{N} $$ = 8 supergravity as a toy model for understanding the dynamics of black hole binary systems via the scattering amplitudes approach. We compute the conservative part of the classical scattering angle of two extremal (half-BPS) black holes with minimal charge misalignment at O $$ \mathcal{O} $$ (G 3) using the eikonal approximation and effective field theory, finding agreement between both methods. We construct the massive loop integrands by Kaluza-Klein reduction of the known D-dimensional massless integrands. To carry out integration we formulate a novel method for calculating the post-Minkowskian expansion with exact velocity dependence, by solving velocity differential equations for the Feynman integrals subject to modified boundary conditions that isolate conservative contributions from the potential region. Motivated by a recent result for universality in massless scattering, we compare the scattering angle to the result found by Bern et. al. in Einstein gravity and find that they coincide in the high-energy limit, suggesting graviton dominance at this order. |
| first_indexed | 2024-12-23T10:30:21Z |
| format | Article |
| id | doaj.art-813c27b19b10469da5604633d14897c0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T10:30:21Z |
| publishDate | 2020-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-813c27b19b10469da5604633d14897c02022-12-21T17:50:27ZengSpringerOpenJournal of High Energy Physics1029-84792020-11-0120201116710.1007/JHEP11(2020)023Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equationsJulio Parra-Martinez0Michael S. Ruf1Mao Zeng2Mani L. Bhaumik Institute for Theoretical Physics, UCLA Department of Physics and AstronomyPhysikalisches Institut, Albert-Ludwigs Universität FreiburgInstitut für Theoretische Physik, Eidgenössische Technische Hochschule ZürichAbstract We use N $$ \mathcal{N} $$ = 8 supergravity as a toy model for understanding the dynamics of black hole binary systems via the scattering amplitudes approach. We compute the conservative part of the classical scattering angle of two extremal (half-BPS) black holes with minimal charge misalignment at O $$ \mathcal{O} $$ (G 3) using the eikonal approximation and effective field theory, finding agreement between both methods. We construct the massive loop integrands by Kaluza-Klein reduction of the known D-dimensional massless integrands. To carry out integration we formulate a novel method for calculating the post-Minkowskian expansion with exact velocity dependence, by solving velocity differential equations for the Feynman integrals subject to modified boundary conditions that isolate conservative contributions from the potential region. Motivated by a recent result for universality in massless scattering, we compare the scattering angle to the result found by Bern et. al. in Einstein gravity and find that they coincide in the high-energy limit, suggesting graviton dominance at this order.http://link.springer.com/article/10.1007/JHEP11(2020)023Black HolesClassical Theories of GravityScattering AmplitudesSupergravity Models |
| spellingShingle | Julio Parra-Martinez Michael S. Ruf Mao Zeng Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equations Journal of High Energy Physics Black Holes Classical Theories of Gravity Scattering Amplitudes Supergravity Models |
| title | Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equations |
| title_full | Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equations |
| title_fullStr | Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equations |
| title_full_unstemmed | Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equations |
| title_short | Extremal black hole scattering at O $$ \mathcal{O} $$ (G 3): graviton dominance, eikonal exponentiation, and differential equations |
| title_sort | extremal black hole scattering at o mathcal o g 3 graviton dominance eikonal exponentiation and differential equations |
| topic | Black Holes Classical Theories of Gravity Scattering Amplitudes Supergravity Models |
| url | http://link.springer.com/article/10.1007/JHEP11(2020)023 |
| work_keys_str_mv | AT julioparramartinez extremalblackholescatteringatomathcalog3gravitondominanceeikonalexponentiationanddifferentialequations AT michaelsruf extremalblackholescatteringatomathcalog3gravitondominanceeikonalexponentiationanddifferentialequations AT maozeng extremalblackholescatteringatomathcalog3gravitondominanceeikonalexponentiationanddifferentialequations |