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2024

Accurate method for ultralight axion CMB and matter power spectra

Liu, Rayne, Hu, Wayne, Grin, Daniel

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Ultralight axions (ULAs) with masses $10^{-33} \lesssim m/{\rm eV} \lesssim 10^{-12}$ are well motivated in string-inspired models and can be part or all of the dark energy or the dark matter in this range.

Since the ULA field oscillates at a frequency $m$ that can be much larger than the expansion rate $H$, accurate and efficient calculation of cosmological observables requires an effective time averaged treatment.
While these are well established for $m\gg 10 H_{\rm eq}$, the Hubble rate at matter radiation equality, here we extend and develop these techniques to cover the mass range $10^{-33} \lesssim m/{\rm eV} \lesssim 10^{-18}$.
We implement this technique in a full cosmological Boltzmann code ($\text{AxiECAMB}$) with numerical precision sufficiently accurate for current and next-generation cosmic microwave background, as well as large-scale structure data analysis.

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