Classical gravitational scattering from a gauge-invariant double copy

A bstract We propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms. The amplitudes in this eff...

Full description

Saved in:
Bibliographic Details
Published in:The journal of high energy physics Vol. 2021; no. 10; pp. 1 - 51
Main Authors: Brandhuber, Andreas, Chen, Gang, Travaglini, Gabriele, Wen, Congkao
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 15.10.2021
Springer Nature B.V
SpringerOpen
Subjects:
Amplitudes
Black Holes
Classical and Quantum Gravitation
Classical Theories of Gravity
Elementary Particles
Field theory
Gravitons
Gravity
High energy physics
Integrals
Invariants
Iterative methods
Kinematics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Radiation
Regular Article - Theoretical Physics
Relativity
Relativity Theory
Scattering Amplitudes
Scattering angle
String Theory
Theory of relativity
Classical Theories of Gravity
Scattering Amplitudes
Black Holes
ISSN:1029-8479, 1029-8479
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A bstract We propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of subtracting iteration terms. The amplitudes in this effective theory are constructed using a recently proposed novel colour-kinematic/double copy for tree-level two-scalar, multi-graviton amplitudes, where the BCJ numerators are gauge invariant and local with respect to the massless gravitons. These tree amplitudes, together with graviton tree amplitudes, enter the construction of the required D -dimensional loop integrands and allow for a direct extraction of contributions relevant for classical physics. In particular the soft/heavy-mass expansions of full integrands is circumvented, and all iterating contributions can be dropped from the get go. We use this method to compute the scattering angle up to third post-Minkowskian order in four dimensions, including radiation reaction contributions, also providing the expression of the corresponding integrand in D dimensions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2021)118