Extreme Axions Unveiled: a Novel Fluid Approach for Cosmological Modeling

Axion-like particles (ALPs) are a well-motivated dark matter candidate that solve some of the problems in the clustering of large scale structure in cosmology. ALPs are often described by a simplified quadratic potential to specify the dynamics of the axion field, and are included in cosmological analysis codes using a modified fluid prescription. In this paper we consider the extreme axion: a version of the axion with a high initial field angle that produces an enhancement (rather than a suppression) of structure on small scales around the Jeans length, which can be probed by measurements of clustering such as the eBOSS DR14 Ly-$\alpha$ forest. We present a novel method of modeling the extreme axion as a cosmological fluid, combining the Generalized Dark Matter model with the effective fluid approach presented in the \texttt{axionCAMB} software, as well as implementing a series of computational innovations to efficiently simulate the extreme axions. We find that for axion masses between $10^{-23} \mathrm{\ eV} \lesssim m_\mathrm{ax} \lesssim 10^{-22.5} \mathrm{\ eV}$, constraints on the axion fraction imposed by the eBOSS DR14 Ly-$\alpha$ forest can be significantly weakened by allowing them to be in the form of extreme axions with a starting angle between $\pi - 10^{-1} \lesssim \theta_i \lesssim \pi - 10^{-2}$. This work motivates and enables a more robust hydrodynamical analysis of extreme axions in order to compare them to high-resolution Ly-$\alpha$ forest data in the future.