Evidence for relativistic Sunyaev-Zeldovich effect in Planck CMB maps with an average electron-gas temperature of $T_{\rm e}\simeq 5$ keV

Stacking the public Planck CMB temperature maps (NILC, SMICA, SEVEM, Commander) on galaxy clusters from Planck catalogues reveals substantial residual contamination from thermal Sunyaev-Zeldovich (tSZ) emission. Unexpectedly, stacking "tSZ-free" CMB maps, like the Planck SMICA-noSZ or Constrained ILC (CILC) maps, still shows noticeable residual contamination from galaxy clusters. We demonstrate that this persisting residual stems from neglected relativistic SZ (rSZ) corrections in the CMB map estimation. Employing a component-separation method specifically designed for the rSZ effect on Planck data, we map the rSZ first-order moment field $y(T_{\rm e}-\bar{T}_{\rm e})$ over the sky for different pivot temperatures $\bar{T}_{\rm e}$ ranging from $2$ to $10$ keV. Stacking these $y(T_{\rm e}-\bar{T}_{\rm e})$-maps on Planck clusters exhibits either an intensity decrement or increment at the centre, contingent upon whether $\bar{T}_{\rm e}$ is above or below the ensemble-averaged cluster temperature $T_{\rm e}$. For the pivot value $\bar{T}_{\rm e}=5$ keV, a vanishing intensity is observed in the stacked Planck $y(T_{\rm e}-\bar{T}_{\rm e})$-map, enabling us to infer the average gas temperature of $T_{\rm e}\simeq 5$ keV for Planck clusters. Building upon this finding, we revisit the Planck tSZ-free CMB map by deprojecting the complete rSZ emission using CILC, assuming an rSZ spectrum with $T_{\rm e} = 5$ keV. Our new, rSZ-free Planck CMB map, when stacked on clusters, shows a clear cancellation of residual SZ contamination in contrast to prior (non-relativistic) tSZ-free Planck CMB maps. Our map-based approach provides compelling evidence for an average temperature of the Planck galaxy clusters of $T_{\rm e} = 4.9 \pm 2.6$ keV using the rSZ effect.