Gravitational Deflection of Vector Photons via Effective Field Theory
arXiv:2502.04332 · doi:10.1103/df24-1qtn
Abstract
Gravitational scattering of the electromagnetic field from a heavy scalar field provides a fundamental testbed for understanding the deflection of light by massive bodies. In many approaches based on effective field theory, the calculation of scattering amplitudes quickly becomes complicated due to the large number of Feynman integrals required, especially beyond leading order. In this work, we study this problem using effective field theory in the weak field approximation. We utilize Integration-By-Parts reduction techniques to precisely examine the long-range contributions governed by terms in the amplitude which are non-analytic in momentum transfer. Using geometric optics and the eikonal approximation, we derive expressions for the deflection angle and find the origin of differences relative to earlier works.
arXiv comment12 pages, 4 figures, 2 appendices for the Feynman rules and integration formula
References in corpus (35)
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
- First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
- General relativity as an effective field theory: The leading quantum corrections
- New Relations for Gauge-Theory Amplitudes
- First M87 Event Horizon Telescope Results. II. Array and Instrumentation
- Schwarzschild black hole lensing
- FeynCalc 9.3: New features and improvements
- Leading Quantum Correction to the Newtonian Potential
- LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
- Scalar one-loop integrals for QCD
- Strong field limit of black hole gravitational lensing
- Applications of the Gauss-Bonnet theorem to gravitational lensing
- Charged particle motion and radiation in strong electromagnetic fields
- Spacetime perspective of Schwarzschild lensing
- Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
- xPerm: fast index canonicalization for tensor computer algebra
- Perturbative Quantum Gravity and its Relation to Gauge Theory
- On-shell Techniques and Universal Results in Quantum Gravity
- Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
- Bending of Light in Quantum Gravity
- Light-like Scattering in Quantum Gravity
- The Invar Tensor Package
- The Invar tensor package: Differential invariants of Riemann
- High Energy Scattering in Perturbative Quantum Gravity at Next to Leading Power
- Graviton-Photon Scattering
- Infrared behavior of graviton-graviton scattering
- Black Holes and Covariance in Effective Quantum Gravity
- Absorption, Scattering, Geodesics, Shadows and Lensing Phenomena of Black Holes in Effective Quantum Gravity
- More on the Bending of Light in Quantum Gravity
- Graviton Bending in Quantum Gravity from One-Loop Amplitudes
- Analytical On-shell Calculation of Low Energy Higher Order Scattering
- FeynGrav 2.0
- Gravitational deflection of light and helicity asymmetry
- Pair creation, backreaction, and resummation in strong fields