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                <title xml:lang="en">Probing the two-body decaying dark matter scenario with weak lensing and the cosmic microwave background</title>
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                <term xml:lang="en">velocity</term>
                <term xml:lang="en">model: nonlinear</term>
                <term xml:lang="en">matter: power spectrum</term>
                <term xml:lang="en">cosmological model: parameter space</term>
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              <p>Decaying dark matter (DDM) scenarios have recently re-gained attention due to their potential ability to resolve the well-known clustering (or $S_8$) tension between weak lensing (WL) and cosmic microwave background (CMB) measurements. In this paper, we investigate a well-established model, where the original dark matter (DM) particle decays into a massless and a massive daughter particles. The latter obtains a velocity kick during the decay process resulting in a suppression of the matter power spectrum at scales that are observable with WL shear observations. We perform the first fully nonlinear WL analysis of this two-body decaying dark matter ($\Lambda$DDM) scenario including intrinsic alignment and baryonic feedback processes. We thereby use the cosmic shear band power spectra from the KiDS-1000 data combining it with temperature and polarization data from Planck to constrain the $\Lambda$DDM model. We report new limits on the decay rate and mass splitting parameters that are significantly stronger than previous results, especially for the case of low mass splittings. We also investigate the $S_8$ tension only finding a marginal improvement of 0.3$\sigma$ for $\Lambda$DDM compared to the $\Lambda$CDM case. The improvement is not caused by a shift but a slight bloating of the posterior contours caused by the additional free model parameters. We therefore conclude that the two-body $\Lambda$DDM model does not provide a convincing solution to the $S_8$ tension. Our emulator to model the nonlinear $\Lambda$DDM power spectrum is published as part of the publicly available code DMemu at https://github.com/jbucko/DMemu.</p>
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