Table 16
Constraints on mixed adiabatic and isocurvature models.
| Model (and data) | 100βiso(klow) | 100βiso(kmid) | 100βiso(khigh) | 100cosΔ | 100αℛℛ(2,2500) | Δn | Δχ2 | lnB |
|
|
||||||||
| General models: | ||||||||
| CDI (TT+lowP) | 4.1 | 35.4 | 56.9 | [−30:20] | [98.1:101.5] | 3 | −2.1 | −8.8 |
| CDI (TT+lowP+WP) | 4.2 | 35.5 | 57.2 | [−31:23] | [97.9:101.4] | 3 | −1.8 | −9.1 |
| CDI (TT, TE, EE+lowP) | 2.0 | [3.4:28.1] | [3.1:51.8] | [−6:20] | [98.5:99.9] | 3 | −5.3 | −8.8 |
| CDI (TT, TE, EE+lowP+WP) | 2.1 | [2.3:28.4] | [2.6:52.1] | [−7:21] | [98.5:99.9] | 3 | −5.5 | −8.2 |
| CDI (TT+lowP+lensing) | 4.5 | 37.9 | 59.4 | [−28:17] | [98.1:101.1] | 3 | −1.2 | −8.8 |
|
|
||||||||
| NDI (TT+lowP) | 14.3 | 22.4 | 27.4 | [−33:1] | [98.6:104.0] | 3 | −2.0 | −5.3 |
| NDI (TT, TE, EE+lowP) | 7.3 | [3.4:19.3] | [3.5:26.7] | [−9:10] | [97.8:100.1] | 3 | −5.5 | −5.5 |
| NDI (TT+lowP+lensing) | 15.8 | [1.4:24.1] | [0.3:28.4] | [−32:0] | [98.6:104.0] | 3 | −2.8 | −4.6 |
|
|
||||||||
| NVI (TT+lowP) | 8.3 | [0.1:10.2] | 11.9 | [−26:6] | [97.6:102.3] | 3 | −2.8 | −6.3 |
| NVI (TT, TE, EE+lowP) | 7.4 | [0.9:7.4] | [0.4:8.8] | [−22:−4] | [99.2:102.0] | 3 | −6.2 | −6.5 |
| NVI (TT+lowP+lensing) | 9.7 | [0.4:11.6] | 13.1 | [−23:7] | [97.1:102.0] | 3 | −2.5 | −6.5 |
|
|
||||||||
| General models + r: | ||||||||
| CDI+r=0.1 (TT+lowP) | 3.4 | 38.7 | 63.9 | [−33:24] | [98.1:101.4] | 3 | −5.4 | −8.9 |
| CDI+r=0.1 (TT, TE, EE+lowP) | 1.6 | [4.4:31.7] | [6.9:59.2] | [−6:22] | [98.6:99.9] | 3 | −6.3 | −8.1 |
| CDI+r (TT+lowP) | 4.3 | 34.9 | 56.2 | [−43:20] | [97.9:102.4] | 3 | −3.3 | −7.7 |
| CDI+r (TT, TE, EE+lowP) | 1.7 | [3.9:29.0] | [5.8:53.8] | [−5:21] | [98.6:99.9] | 3 | −5.1 | −7.2 |
|
|
||||||||
| Special CDI cases: | ||||||||
| Uncorrelated, nℐℐ = 1 | ||||||||
| “axion” (TT+lowP) | 3.3 | 3.7 | 3.8 | 0 | [98.5:100] | 1 | 0.0 | −5.2 |
| “axion” (TT, TE, EE+lowP) | 3.5 | 3.8 | 3.9 | 0 | [98.4:100] | 1 | −0.2 | −4.9 |
| “axion” (TT+lowP+lensing) | 3.9 | 4.3 | 4.4 | 0 | [98.3:100] | 1 | 0.0 | −5.0 |
| Fully correlated, nℐℐ = nℛℛ | ||||||||
| “curvaton I” (TT+lowP) | 0.18 | 0.18 | 0.18 | 100 | [97.5:100.0] | 1 | −0.1 | −8.1 |
| “curvaton I” (TT, TE, EE+lowP) | 0.13 | 0.13 | 0.13 | 100 | [97.8:99.9] | 1 | 0.0 | −7.8 |
| “curvaton I” (TT+lowP+lensing) | 0.22 | 0.22 | 0.22 | 100 | [97.3:99.7] | 1 | 0.0 | −8.5 |
| Fully anti-correlated, nℐℐ = nℛℛ | ||||||||
| “curvaton II” (TT+lowP) | 0.64 | 0.64 | 0.64 | −100 | [100.5:105.1] | 1 | −1.1 | −5.4 |
| “curvaton II” (TT, TE, EE+lowP) | 0.08 | 0.08 | 0.08 | −100 | [100.1:101.8] | 1 | 0.0 | −8.9 |
| “curvaton II” (TT+lowP+lensing) | 0.52 | 0.52 | 0.52 | −100 | [100.4:104.4] | 1 | −0.6 | −6.3 |
Notes. For each mixed model, we report 95% CL bounds on the fractional primordial contribution of isocurvature modes at three comoving wavenumbers (klow = 0.002 Mpc-1, kmid = 0.050 Mpc-1, and khigh = 0.100 Mpc-1), as well as the scale-independent primordial correlation fraction, cosΔ. The fractional adiabatic contribution to the observed temperature variance is denoted by αℛℛ(2,2500), and from this the nonadiabatic contribution can be calculated as αnon - adi = 1−αℛℛ(2,2500). The number of extra parameters compared with the corresponding pure adiabatic model is denoted by Δn, and Δχ2 is the difference between the χ2 of the best-fitting mixed and pure adiabatic models. (A negative Δχ2 means that the mixed model is a better fit to the data.) In the last column we give the difference between the logarithm of Bayesian evidences. (A negative lnB = ln(PISO/PADI) means that Bayesian model comparison disfavours the mixed model. With our settings of MultiNest the uncertainty in these numbers is about ±0.5.)
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