Precise predictions for gravitational binary systems from scattering amplitudes

Abstract: We introduce on-shell methods that originated in the context of collider physics to problems in classical and quantum gravity. The main results are precises pre- dictions for various physical quantities that are important for the theoretical de- scription of the gravitational two-body problem with direct applications at present and future gravitational-wave experiments. A central result is the two-body potential to the fourth order in perturbation theory. In addition we also determine the effect of radiative corrections induced by dissipation due to gravitational waves to the scattering angle of two massive objects. Furthermore, we determine the total energy radiated during a scattering encounter as well as during an orbital period in a bound two-body system. We establish new methods that significantly simplify these computations. A particular focus is put on complicated integrals and we describe in detail an effi- cient approach to their evaluation based on the method of regions and differential equations. Another significant result is the four-graviton amplitude in general relativity, which we determine to the third order in perturbation theory including quantum effects. We use this result to compute the high-energy scattering angle in general relativity and provide an important contribution to an persisting debate about the relationship between the high-energy limit of scattering processes of massive and massless objects

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch
• Notes: Universität Freiburg, Dissertation, 2021

Classification and Topics

• Keyword: Gravitationswelle ; Streuamplitude

Contributors, Places and Time

• Event: Veröffentlichung
• (where): Freiburg
• (who): Universität
• (when): 2022
• Creator: Ruf, Michael
• Contributor: Ita, Harald ; Febres Cordero, Fernando ; Ita, Harald ; Albert-Ludwigs-Universität Freiburg. Fakultät für Mathematik und Physik

Further information

• DOI: 10.6094/UNIFR/223366
• URN: urn:nbn:de:bsz:25-freidok-2233667
• Rights: Kein Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 25.03.2025, 1:53 PM CET