tokens: Collaboration XXVII 2016 , ESZ, PSZ1, PSZ2, respectively) and ACT ( Hasselfield et al. 2013 ; Hilton et al. 2018 ) surveys. A total of 119 clusters are detected within the ACT footprint by either instrument. Here we focus on the 34 joint detections. We exclude three sources partially covered at the edges of ACT footprint or falling into the mask of Planck point sources (used to construct the PACT y -map). Our final sample is thus comprised of 31 clusters of galaxies, hereafter referred as PACT31, with 18 sources distributed in the equatorial strip and 13 in the southern one. By construction our sample is neither representative nor complete. The clusters range between 0.16 and 0.70 in redshift and from 3.7 × 10 14 to 1.3 × 10 15 M ⊙ in M 500 , where M 500 is the total mass contained within R 500 . The mean signal-to-noise ratio (S/N) of the sample is 6.0 in the Planck catalogues and 6.3 in ACT’s. The range of angular size over the sky is 2.5 θ 500 7.9 arcmin, with a mean value of 4.2 ± 1.1 arcmin. We also consider the sample of 62 massive local clusters used in Planck Collaboration Int. V (2013 , P13 hereafter) to derive the pressure profile of the hot intra-cluster gas from the first Planck all-sky survey. Here the Planck maps used to derive the y -map (see above) are those from the all-sky survey (i.e., 2015 data release Planck Collaboration VIII 2016 ). We therefore use this sample, hereafter PLCK62, in order to compare to the profiles derived from our PACT map (see Sect. 4 ). From the second Planck catalogue, PSZ2, the redshift of the PLCK62 sample ranges between 0.04 to 0.44 and the S/N from 7 to 49. The covered mass interval is 2.4 × 10 14 M 500 2.0 × 10 15 M ⊙ , for an angular size one of 3.7 θ 500 22.8 arcmin with a mean value of 9.8 ± 5.4 arcmin. Masses for the PLCK62 sample are M 500 hydrostatic masses from P13, derived from the XMM-Newton observations. For the PACT31 sample, we make use of the M 500 values provided in the PSZ2 catalogue. The latest are derived from an Y 500 − M 500 relation calibrated with Planck SZ integrated fluxes and XMM-Newton hydrostatic masses ( Planck Collaboration XX 2014 ; Planck Collaboration XXIV 2016 ). We checked the consistency between the P13 hydrostatic mass and the PSZ2 masses for the PLCK62 sample, finding a mean ratio of 0.98 ± 0.11. We provide, in Fig. 1 , the distribution of the two samples in the M 500 − z , M 500 − θ 500 and θ 500 − z plans. Fig. 1. Distribution of the PACT31 (red dots) and PLCK62 (blue dots) in the M 500 − z(left) , M 500 − θ 500 (middle) and θ 500 − z(right) . Crosses picture the median value and associated maximum absolute deviation over each sample. Values for the redshift, masses and angular radii are taken from the PSZ2 catalogue ( Planck Collaboration XXVII 2016 ). 3. Computation of the y and pressure profile To recover the pressure profiles from the SZ y -map, we strictly followed the method described and used by P13. The SZ flux is the product of the SZ spectrum
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