On two body gravitational scattering within perturbative gravit
arXiv:2304.08812 · doi:10.1088/1361-6382/ad0b38
Abstract
We discuss an alternative approach to studying the low energy limit of quantum general relativity. We investigate the low energy limit of a scattering cross-section for two massive scalar particles. Unlike calculations involving the reconstruction of the gravitational potential, our approach avoids ambiguities and is applicable in any frame. Our results are in agreement with both relativistic and non-relativistic calculations. The non-analytic parts of scattering amplitudes that are dominant in the low energy limit also contribute to the cross-section and provide a way to separate the lading order corrections.
References in corpus (37)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
- General relativity as an effective field theory: The leading quantum corrections
- Generalized G-inflation: Inflation with the most general second-order field equations
- Dark Energy after GW170817: dead ends and the road ahead
- New Developments in FeynCalc 9.0
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Calculating black hole shadows: Review of analytical studies
- FeynCalc 9.3: New features and improvements
- Package-X: A Mathematica package for the analytic calculation of one-loop integrals
- Black Hole Binary Dynamics from the Double Copy and Effective Theory
- Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
- General Relativity from Scattering Amplitudes
- Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
- Quantum Corrections to the Schwarzschild and Kerr Metrics
- Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
- The simplest massive S-matrix: from minimal coupling to Black Holes
- Dark energy in Horndeski theories after GW170817: A review
- On-shell Techniques and Universal Results in Quantum Gravity
- Bending of Light in Quantum Gravity
- Light-like Scattering in Quantum Gravity
- Classical Gravity from Loop Amplitudes
- FeynHelpers: Connecting FeynCalc to FIRE and Package-X
- Quantum Corrections to the Reissner-Nordström and Kerr-Newman Metrics
- The SAGEX Review on Scattering Amplitudes
- More on the Bending of Light in Quantum Gravity
- Restricted three-body problem in effective-field-theory models of gravity
- Graviton Bending in Quantum Gravity from One-Loop Amplitudes
- Quantum effects on Lagrangian points and displaced periodic orbits in the Earth-Moon system
- Earth-Moon Lagrangian points as a testbed for general relativity and effective field theories of gravity
- Full three-body problem in effective-field-theory models of gravity
- FeynGrav 2.0
- One-loop effective scalar-tensor gravity
- Quantum time delay in the gravitational field of a rotating mass
- An effective-gravity perspective on the Sun-Jupiter-comet three-body system
- Looking for a new test of general relativity in the solar system
- -matrix approach to general gravity and beyond