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De Sitter scattering amplitudes in the Born approximation

by Renata Ferrero, Chris Ripken

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Chris Ripken
Submission information
Preprint Link:  (pdf)
Date accepted: 2022-09-20
Date submitted: 2022-06-08 14:18
Submitted by: Ripken, Chris
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We present a covariant framework to compute scattering amplitudes and potentials in a de Sitter background. In this setting, we compute the potential of a graviton-mediated scattering process involving two very massive scalars at tree level. Although the obtained scattering potential reproduces the Newtonian potential at short distances, on Hubble-size length scales it is affected by the constant curvature: effectively, it yields a repulsive force at sub-Hubble distances. This can be attributed to the expansion of the de Sitter universe. Beyond the de Sitter horizon, the potential vanishes identically. Hence, the scattering amplitude unveils the geometric properties of de Sitter spacetime in a novel and nontrivial way.

Author comments upon resubmission

We would like to thank the referees for giving constructive comments on our work. We have addressed the comments in the respective replies to the referees.

List of changes

We refer here to the replies to the referees for the main changes made in the manuscript.
Apart from this, we fixed a number of typos.

The main changes are:
- The terminology on tree-level scattering amplitudes and operator methods was made consistent.
- We have extended our discussion of our results with respect to existing literature.

Published as SciPost Phys. 13, 106 (2022)

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