Stochastic Dark Matter from Curvature Perturbations

Fuente: arXiv
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Main Authors: Garani, Raghuveer, Redi, Michele, Tesi, Andrea
Format: Preprint
Published: 2024
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author Garani, Raghuveer
Redi, Michele
Tesi, Andrea
author_facet Garani, Raghuveer
Redi, Michele
Tesi, Andrea
contents We investigate the production of dark matter from curvature perturbations produced during inflation or in standard cosmology, for example during first order phase transitions. Perturbations break Weyl flatness of the Friedmann-Lemaitre-Robertson-Walker metric, allowing conformally coupled fields -- in particular fermions studied here -- to be produced even in the massless limit. Particle production can be computed by studying the Bogoliubov transformation induced by the stochastic background. For perturbations generated during inflation, we present a closed formula for the resulting abundance of particles that depends solely on the power spectrum of curvature perturbations at the end of inflation. This production mechanism can be dominant especially if the amplitude of curvature perturbations is enhanced for modes that exit the horizon towards the end of inflation. In the simplest scenario, the critical dark matter abundance is reproduced for $M \gtrsim 10^{6}$ GeV.
format Preprint
id arxiv_https___arxiv_org_abs_2408_15987
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stochastic Dark Matter from Curvature Perturbations
Garani, Raghuveer
Redi, Michele
Tesi, Andrea
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
We investigate the production of dark matter from curvature perturbations produced during inflation or in standard cosmology, for example during first order phase transitions. Perturbations break Weyl flatness of the Friedmann-Lemaitre-Robertson-Walker metric, allowing conformally coupled fields -- in particular fermions studied here -- to be produced even in the massless limit. Particle production can be computed by studying the Bogoliubov transformation induced by the stochastic background. For perturbations generated during inflation, we present a closed formula for the resulting abundance of particles that depends solely on the power spectrum of curvature perturbations at the end of inflation. This production mechanism can be dominant especially if the amplitude of curvature perturbations is enhanced for modes that exit the horizon towards the end of inflation. In the simplest scenario, the critical dark matter abundance is reproduced for $M \gtrsim 10^{6}$ GeV.
title Stochastic Dark Matter from Curvature Perturbations
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2408.15987