Gravitational Production of Heavy Particles during and after Inflation

Fuente: arXiv
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Hauptverfasser: Racco, Davide, Verner, Sarunas, Xue, Wei
Format: Preprint
Veröffentlicht: 2024
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author Racco, Davide
Verner, Sarunas
Xue, Wei
author_facet Racco, Davide
Verner, Sarunas
Xue, Wei
contents We investigate the gravitational production of a scalar field $χ$ with a mass exceeding the Hubble scale during inflation $m_χ\gtrsim H_I$, employing both analytical and numerical approaches. We demonstrate that the steepest descent method effectively captures the epochs and yields of gravitational production in a compact and simple analytical framework. These analytical results align with the numerical solutions of the field equation. Our study covers three spacetime backgrounds: de Sitter, power-law inflation, and the Starobinsky inflation model. Within these models, we identify two distinct phases of particle production: during and after inflation. During inflation, we derive an accurate analytic expression for the particle production rate, accounting for a varying Hubble rate. After inflation, the additional burst of particle production depends on the inflaton mass around its minimum. When this mass is smaller than the Hubble scale during inflation, $H_I$, there is no significant extra production. However, if the inflaton mass is larger, post-inflation production becomes the dominant contribution. Furthermore, we explore the implications of gravitationally produced heavy fields for dark matter abundance, assuming their cosmological stability.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13883
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gravitational Production of Heavy Particles during and after Inflation
Racco, Davide
Verner, Sarunas
Xue, Wei
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
We investigate the gravitational production of a scalar field $χ$ with a mass exceeding the Hubble scale during inflation $m_χ\gtrsim H_I$, employing both analytical and numerical approaches. We demonstrate that the steepest descent method effectively captures the epochs and yields of gravitational production in a compact and simple analytical framework. These analytical results align with the numerical solutions of the field equation. Our study covers three spacetime backgrounds: de Sitter, power-law inflation, and the Starobinsky inflation model. Within these models, we identify two distinct phases of particle production: during and after inflation. During inflation, we derive an accurate analytic expression for the particle production rate, accounting for a varying Hubble rate. After inflation, the additional burst of particle production depends on the inflaton mass around its minimum. When this mass is smaller than the Hubble scale during inflation, $H_I$, there is no significant extra production. However, if the inflaton mass is larger, post-inflation production becomes the dominant contribution. Furthermore, we explore the implications of gravitationally produced heavy fields for dark matter abundance, assuming their cosmological stability.
title Gravitational Production of Heavy Particles during and after Inflation
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2405.13883