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We derive constraints on feedback by active galactic nuclei (AGN) by settinglimits on their thermal Sunyaev-Zel'dovich (SZ) imprint on the cosmic microwavebackground (CMB). The amplitude of any SZ signature is small and degeneratewith the poorly known sub-mm spectral energy distribution of the AGN hostgalaxy and other unresolved dusty sources along the line of sight. Here webreak this degeneracy by combining microwave and sub-mm data from Planck withall-sky far-infrared maps from the AKARI satellite. We first test ourmeasurement pipeline using the Sloan Digital Sky Survey (SDSS) redMaPPercatalogue of galaxy clusters, finding a highly significant detection($>$$20\sigma$) of the SZ effect together with correlated dust emission. Wethen constrain the SZ signal associated with spectroscopically confirmedquasi-stellar objects (QSOs) from SDSS data release 7 (DR7) and the BaryonOscillation Spectroscopic Survey (BOSS) DR12. We obtain a low-significance($1.6\sigma$) hint of an SZ signal, pointing towards a mean thermal energy of$\simeq 5 \times 10^{60}$ erg, lower than reported in some previous studies. Acomparison of our results with high-resolution hydrodynamical simulationsincluding AGN feedback suggests QSO host masses of $M_{200c} \sim 4 \times10^{12}~h^{-1}M_\odot$, but with a large uncertainty. Our analysis provides noconclusive evidence for an SZ signal specifically associated with AGN feedback.

Constraints on AGN feedback from its Sunyaev-Zel'dovich imprint on the cosmic background radiation