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We argue that there is a lower bound of order $10^{-19}$ eV on dark matter mass if it is produced after inflation via a process with finite correlation length.
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We assume that the amplitudes of the two independent modes of the field are uncorrelated and have equal power
Cited in the paper.
For our conservative estimates (using k fs ∗ k_{\rm fs}^{*} ) we approximate the expansion history as being H ∝ a − 2 H\propto a^{-2} up to a eq a_{\rm eq} . Allowing for a more accurate expansion history changes the free streaming scale at a eq a_{\rm eq} by ∼ 25 % \sim 25\% . Furthermore, the evolution of the free streaming scale from a eq a_{\rm eq} to a Ly α ∼ 0.2 a_{{\rm Ly}\alpha}\sim 0.2 changes the free streaming scale by ∼ 15 % \sim 15\%
Cited in the paper.
Under the assumption that the two independent modes for the field have equal initial power spectra, free-streaming only effects the adiabatic part of the spectrum. Relaxing this assumption leads to an 𝒪 ( 1 ) {\mathcal{O}}(1) correction to the isocurvature power above the free-streaming scale
Cited in the paper.
K. Harigaya and L.-T. Wang, (2022), arXiv:2211.08289 [hep-ph]
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M. Valluri et al. , (2022), arXiv:2203.07491 [astro-ph.CO]
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M. A. G. Garcia, M. Pierre, and S. Verner, Phys. Rev. D 107
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R. Liu, W. Hu, and H. Xiao, (2024), arXiv:2406.12970 [hep-ph]
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