Table 4
Astrophysical parameters used to model foregrounds in our analysis, plus instrumental calibration and beam parameters.
| Parameter | Prior range | Definition |
|
|
||
 .......... |
[0,360] | Contribution of Poisson point-source power to  for Planck (in μK2) |
 .......... |
[0,270] | As for , but at 143 GHz |
 .......... |
[0,450] | As for , but at 217 GHz |
 .......... |
[0,1] | Point-source correlation coefficient for Planck between 143 and 217 GHz |
 .......... |
[0,20] | Contribution of CIB power to  at the Planck CMB frequency for 143 GHz (in μK2) |
 .......... |
[0,80] | As for , but for 217 GHz |
 .......... |
[0,1] | CIB correlation coefficient between 143 and 217 GHz |
| γCIB .......... | [− 2,2] (0.7 ± 0.2) | Spectral index of the CIB angular power ( ) |
| AtSZ .......... | [0,10] | Contribution of tSZ to  at 143 GHz (in μK2) |
| AkSZ .......... | [0,10] | Contribution of kSZ to  (in μK2) |
| ξtSZ × CIB .......... | [0,1] | Correlation coefficient between the CIB and tSZ (see text) |
|
|
||
| c100 .......... | [0.98,1.02] (1.0006 ± 0.0004) | Relative power spectrum calibration for Planck between 100 GHz and 143 GHz |
| c217 .......... | [0.95,1.05] (0.9966 ± 0.0015) | Relative power spectrum calibration for Planck between 217 GHz and 143 GHz |
 .......... |
(0 ± 1) | Amplitude of the jth beam eigenmode (j = 1–5) for the ith cross-spectrum (i = 1–4) |
|
|
||
 .......... |
[0,30] | Contribution of Poisson point-source power to  for ACT (in μK2) |
 .......... |
[0,200] | As for , but at 218 GHz |
 .......... |
[0,1] | Point-source correlation coefficient between 150 and 220 GHz (for ACT and SPT) |
 .......... |
[0,5] (0.8 ± 0.2) | Contribution from Galactic cirrus to at 150 GHz for ACTe (in μK2) |
 .......... |
[0,5] (0.4 ± 0.2) | As , but for ACTs |
|
[0.8,1.3] .......... | Map-level calibration of ACTe at 148 GHz relative to Planck143 GHz |
|
[0.8,1.3] | .......... As , but at 217 GHz |
|
[0.8,1.3] .......... | Map-level calibration of ACTs at 148 GHz relative to Planck143 GHz |
 .......... |
[0.8,1.3] | As , but at 217 GHz |
|
|
||
 .......... |
[0,30] | Contribution of Poisson point-source power to  for SPT (in μK2) |
 .......... |
[0,30] | As for , but at 150 GHz |
 .......... |
[0,200] | As for , but at 220 GHz |
 .......... |
[0,1] | Point-source correlation coefficient between 95 and 150 GHz for SPT |
 .......... |
[0,1] | As , but between 95 and 220 GHz |
 .......... |
[0.8,1.3] | Map-level calibration of SPT at 95 GHz relative to Planck143 GHz |
 .......... |
[0.8,1.3] | As for , but at 150 GHz |
 .......... |
[0.8,1.3] | As for , but at 220 GHz |
Notes. We include the symbol for each parameter, the prior range adopted for the MCMC analysis and a summary definition (see text for details). Square brackets denote hard priors, parentheses indicate Gaussian priors. Note that the beam eigenmode amplitudes require a correlation matrix to describe fully their joint prior, and that all but 
are internally marginalized over rather than sampled over for the main MCMC runs. The bottom two blocks are only used in the analysis including the ACT and SPT high-ℓ CMB data.
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