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Full-shape BOSS constraints on dark matter interacting with dark radiation and lifting the $S_8$ tension

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(2022)cite arxiv:2209.03974Comment: 38 pages, 8 figures, 1 ancillary figure.

Abstract

In this work we derive constraints on interacting dark matter-dark radiation models from a full-shape analysis of BOSS-DR12 galaxy clustering data, combined with Planck legacy cosmic microwave background (CMB) and baryon acoustic oscillation (BAO) measurements. We consider a set of models parameterized within the effective theory of structure formation (ETHOS), quantifying the lifting of the $S_8$ tension in view of KiDS weak-lensing results. The most favorable scenarios point to a fraction $f10-100\%$ of interacting dark matter as well as a dark radiation temperature that is smaller by a factor $\xi0.1-0.15$ compared to the CMB, leading to a reduction of the tension to the $1\sigma$ level. The temperature dependence of the interaction rate favored by relaxing the $S_8$ tension is realized for a weakly coupled unbroken non-Abelian $SU(N)$ gauge interaction in the dark sector. To map our results onto this $SU(N)$ model, we compute higher-order corrections due to Debye screening. We find a lower bound $\alpha_dg_d^2/(4\pi)10^-8 (10^-9)$ for dark matter mass $1000 (1)$ GeV for relaxing the $S_8$ tension, consistent with upper bounds from galaxy ellipticities and compatible with self-interactions relevant for small-scale structure formation.

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