Back to Search
Start Over
High energy scattering in perturbative quantum gravity at next-to-leading power
- Source :
- Physical Review
- Publication Year :
- 2021
- Publisher :
- American Physical Society (APS), 2021.
-
Abstract
- We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering amplitude up to the next-to-leading power correction of the light particle energy, including gravitational effects of the same order. The first power correction is suppressed by a single power of the ratio of momentum transfer to the energy of the light particle in the rest frame of the heavy particle, independent of the heavy particle mass. We find that only gravitational corrections contribute to the exponentiated phase in impact parameter space in four dimensions. For large enough heavy-particle mass, the saddle point for the impact parameter is modified compared to the leading order by a multiple of the Schwarzschild radius determined by the mass of the heavy particle, independent of the energy of the light particle.<br />Comment: Basic results are unchanged, but many arguments have been revised, and several calculations given in dimensional regularization. One new figure. 17 pages, six figures
- Subjects :
- High Energy Physics - Theory
Physics
Elastic scattering
010308 nuclear & particles physics
Scattering
Momentum transfer
Graviton
FOS: Physical sciences
General Relativity and Quantum Cosmology (gr-qc)
Rest frame
01 natural sciences
General Relativity and Quantum Cosmology
Scattering amplitude
High Energy Physics - Theory (hep-th)
Quantum electrodynamics
0103 physical sciences
Quantum gravity
010306 general physics
Schwarzschild radius
Subjects
Details
- ISSN :
- 24700029 and 24700010
- Volume :
- 103
- Database :
- OpenAIRE
- Journal :
- Physical Review D
- Accession number :
- edsair.doi.dedup.....a9e46a071c212c285e252d54c017314f