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Cartographing gravity-mediated scattering amplitudes: scalars and photons

by Benjamin Knorr, Samuel Pirlo, Chris Ripken, Frank Saueressig

Submission summary

As Contributors: Benjamin Knorr · Chris Ripken · Frank Saueressig
Arxiv Link: (pdf)
Date submitted: 2022-05-10 21:20
Submitted by: Knorr, Benjamin
Submitted to: SciPost Physics
Academic field: Physics
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
Approach: Theoretical


The effective action includes all quantum corrections arising in a given quantum field theory. Thus it serves as a powerful generating functional from which quantum-corrected scattering amplitudes can be constructed via tree-level computations. In this work we use this framework for studying gravity-mediated two-to-two scattering processes involving scalars and photons as external particles. We construct a minimal basis of interaction monomials capturing all contributions to these processes. This classification goes beyond the expansions used in effective field theory since it retains the most general momentum dependence in the propagators and couplings. In this way, we derive the most general scattering amplitudes compatible with a relativistic quantum field theory. Comparing to tree-level scattering in general relativity, we identify the differential cross sections which are generated by the non-trivial momentum dependence of the interaction vertices.

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Submission 2205.01738v1 on 10 May 2022

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