Testing decaying dark matter models as a solution to the S₈ tension with the thermal Sunyaev-Zel'dovich effect

Considering possible solutions to the S-8 tension between the Planck cosmic microwave background (CMB) measurement and low-redshift probes, we extended the standard ?CDM cosmological model by including decay of dark matter (DDM). We first tested the DDM model in which dark matter decays into a form of noninteracting dark radiation. Under this DDM model, we investigated the impacts of DDM on the Sunyaev Zel'dovich (SZ) effect by varying the decay lifetime, & UGamma;(-1), including the background evolution in cosmology and the nonlinear prescription in the halo mass function. We performed a cosmological analysis under the assumption of this extended cosmological model by combining the latest high-redshift Planck CMB measurement and low-redshift measurements of the SZ power spectrum as well as the baryonic acoustic oscillations (BAO) and luminosity distances to type Ia supernovae (SNIa). Our result shows a preference for & UGamma;(-1)?& SIM;?220 Gyr with a lower bound on the decay lifetime of & SIM;38 Gyr at 95% confidence level. Additionally, we tested the other DDM model in which dark matter decays into warm dark matter and dark radiation. This model supports & UGamma;(-1)?& SIM;?137 Gyr to resolve the S-8 tension with a lower bound on the decay lifetime of & SIM;24 Gyr at 95% confidence level. Comparing these two models, we find that the second leads to slightly better reconciliation of the S-8 tension.