Abstract

We study the gravitational production of super-Hubble-mass dark matter in the very early universe. We first review the simplest scenario where dark matter is produced mainly during slow roll inflation. Then we move on to consider the cases where dark matter is produced during the transition period between inflation and the subsequent cosmological evolution. The limits of smooth and sudden transitions are studied, respectively. The relic abundances and the cosmological collider signals are calculated.

Highlights

  • The mass of the gravitationally produced dark matter particle is large, the production rate is in general exponentially suppressed in terms of the mass of the dark matter particle

  • This method can boost our understanding of the analytical structure of the dark matter production rate and trace the time evolution of the particle being produced at each moment

  • We considered three cosmological scenarios and calculated the dark matter relic abundance produced gravitationally

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Summary

Dark matter and its relic abundance

We denote the dark matter field as X. We focus on the case where the dark matter field do not have self interaction. See [56] for introduction of self interaction in the context of gravitational production of dark matter. The self-interaction is not severely constrained for large masses. Where H is the Hubble parameter here Note that His very small in the slow-roll inflation cases and vanishes in the case of exact de Sitter space. We will consider three scenarios of the gravitational production of superheavy dark matter.

Slow roll inflation
Inflation connected to Minkowski spacetime
Sudden transition between inflation and radiation domination
Comparison of three scenarios
Method Bogoliubov transformation
Conclusion
A Particle production from the divergent asymptotic series method
Summary of the result
The divergent asymptotic series method
Example: particle production in de Sitter
B Details of the computation of the loop diagram
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