Planck 2015 results
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Table 2

Amplitude fits for a suite of alternative reconstructions of the lensing power spectrum and comparison to the baseline MV lensing power spectrum estimate.

Consistency test summary values

Low-L Conservative High-L
8 L< 40 40 ≤ L ≤ 400 400 <L ≤ 2048
 ± σA ΔMV ± σΔ PTEΔMV=0  ± σA ΔMV ± σΔ PTEΔMV=0PTEbins PTEbins  ± σA ΔMV ± σΔ PTEΔMV=0 PTEbins

Individual estimator crosses
TT × TT 1.044 ± 0.111 -0.035 ± 0.075 0.65 0.990 ± 0.032 -0.003 ± 0.023 0.90 0.47 0.724 ± 0.096 0.058 ± 0.042 0.17 0.81
TT × TE 1.000 ± 0.108 0.009 ± 0.070 0.91 0.969 ± 0.039 0.018 ± 0.028 0.54 0.12 0.628 ± 0.273 0.155 ± 0.243 0.52 0.52
TT × EE 0.872 ± 0.149 0.137 ± 0.126 0.29 1.012 ± 0.055 -0.025 ± 0.051 0.65 0.89 1.616 ± 0.448 -0.833 ± 0.446 0.06 0.18
TT × EB 1.105 ± 0.308 -0.096 ± 0.295 0.76 0.988 ± 0.085 -0.001 ± 0.081 0.99 0.83 1.118 ± 0.270 -0.335 ± 0.269 0.22 0.48
TE × TE 0.890 ± 0.194 0.118 ± 0.172 0.47 1.057 ± 0.079 -0.070 ± 0.075 0.35 0.94 3.607 ± 1.472 -2.824 ± 1.461 0.05 0.41
EE × TE 1.067 ± 0.209 -0.058 ± 0.194 0.77 0.995 ± 0.085 -0.008 ± 0.080 0.93 0.77 -0.441 ± 1.961 1.224 ± 1.964 0.54 0.18
TE × EB 0.604 ± 0.424 0.405 ± 0.415 0.31 1.016 ± 0.157 -0.029 ± 0.156 0.88 0.86 0.786 ± 1.235 -0.003 ± 1.223 1.00 0.57
TT × TB 0.496 ± 0.631 0.512 ± 0.630 0.42 0.890 ± 0.180 0.097 ± 0.178 0.59 0.76 1.413 ± 0.575 -0.630 ± 0.571 0.26 0.06
EE × EE 1.132 ± 0.407 -0.124 ± 0.397 0.72 0.748 ± 0.189 0.239 ± 0.186 0.20 0.50 4.503 ± 5.723 -3.720 ± 5.717 0.49 0.56
EE × EB 1.530 ± 0.664 -0.522 ± 0.659 0.44 0.643 ± 0.247 0.344 ± 0.246 0.15 0.20 4.131 ± 2.432 -3.348 ± 2.429 0.19 0.29
TE × TB 2.426 ± 0.837 -1.417 ± 0.833 0.09 0.722 ± 0.297 0.266 ± 0.294 0.37 0.75 5.242 ± 2.431 -4.459 ± 2.425 0.07 0.20
EE × TB -0.981 ± 1.212 1.990 ± 1.209 0.10 1.288 ± 0.463 -0.301 ± 0.463 0.52 0.01 3.154 ± 4.492 -2.371 ± 4.482 0.61 0.81
EB × EB 0.588 ± 1.819 0.421 ± 1.817 0.82 1.401 ± 0.522 -0.414 ± 0.521 0.42 0.39 -0.422 ± 2.274 1.205 ± 2.263 0.60 0.80
TB × EB 0.887 ± 2.954 0.122 ± 2.947 0.95 0.618 ± 0.798 0.369 ± 0.798 0.63 0.34 -2.591 ± 2.955 3.374 ± 2.945 0.26 0.43
TB × TB 13.790 ± 8.353 -12.781 ± 8.351 0.12 -2.809 ± 2.189 3.796 ± 2.189 0.09 0.08 -0.532 ± 8.268 1.315 ± 8.260 0.86 0.20
Crosses 0.958 ± 0.097 0.051 ± 0.053 0.33 0.989 ± 0.033 -0.002 ± 0.022 0.91 0.65 1.028 ± 0.193 -0.245 ± 0.174 0.15 0.84
Pol.only 1.252 ± 0.350 -0.243 ± 0.339 0.46 0.761 ± 0.145 0.226 ± 0.142 0.11 0.39 1.787 ± 1.598 -1.004 ± 1.586 0.53 0.84
Foreground tests
143 GHz 0.958 ± 0.096 0.029 ± 0.069 0.64 1.024 ± 0.034 -0.034 ± 0.024 0.16 0.22 0.583 ± 0.122 0.198 ± 0.093 0.04 0.02
217 GHz 0.941 ± 0.092 0.046 ± 0.077 0.57 0.963 ± 0.034 0.027 ± 0.024 0.30 0.71 0.929 ± 0.109 -0.148 ± 0.088 0.08 0.80
NILC 0.977 ± 0.073 0.010 ± 0.027 0.75 0.988 ± 0.026 0.002 ± 0.011 0.83 0.94 0.877 ± 0.082 -0.096 ± 0.031 0.01 0.09
SEVEM TT †† 1.015 ± 0.108 0.016 ± 0.053 0.78 1.000 ± 0.032 -0.011 ± 0.017 0.53 0.63 0.758 ± 0.094 -0.039 ± 0.047 0.40 0.73
Commander TT †† 0.899 ± 0.124 0.132 ± 0.092 0.15 1.018 ± 0.038 -0.029 ± 0.028 0.30 0.42 0.950 ± 0.113 -0.230 ± 0.099 0.02 0.21
fsky = 0.8 1.009 ± 0.064 -0.022 ± 0.028 0.36 0.987 ± 0.025 0.003 ± 0.009 0.73 0.14 0.761 ± 0.086 0.019 ± 0.031 0.57 0.22
fsky = 0.6 1.000 ± 0.078 -0.014 ± 0.034 0.71 0.991 ± 0.026 -0.000 ± 0.010 0.97 0.90 0.777 ± 0.091 0.004 ± 0.037 0.92 0.68
(SMICA)3353 GHz 1.000 ± 0.133 -0.013 ± 0.114 0.93 0.970 ± 0.048 0.021 ± 0.041 0.64 0.76 0.946 ± 0.134 -0.165 ± 0.128 0.21 0.05
(SMICA)3353 GHzpol.only 0.277 ± 0.996 1.016 ± 1.076 0.33 0.264 ± 0.451 0.531 ± 0.495 0.27 0.80 7.045 ± 5.895 -5.056 ± 6.440 0.40 0.31
Noise tests
143 × 217 GHz 0.949 ± 0.077 0.038 ± 0.050 0.44 0.999 ± 0.027 -0.008 ± 0.015 0.61 0.97 0.755 ± 0.095 0.025 ± 0.056 0.66 0.94
HM1 × HM2 1.028 ± 0.081 -0.041 ± 0.050 0.39 0.981 ± 0.029 0.009 ± 0.016 0.63 0.67 0.827 ± 0.090 -0.047 ± 0.058 0.40 0.88
Noise scaling 0.989 ± 0.070 -0.002 ± 0.030 0.93 0.994 ± 0.026 -0.003 ± 0.011 0.73 1.00 0.779 ± 0.084 0.001 ± 0.037 0.94 1.00
Analysis choices
min = 1000 1.136 ± 0.104 -0.149 ± 0.081 0.06 0.990 ± 0.036 0.000 ± 0.029 1.00 0.08 0.718 ± 0.153 0.063 ± 0.128 0.57 0.44
max = 1500 1.013 ± 0.086 -0.026 ± 0.060 0.67 0.985 ± 0.035 0.006 ± 0.022 0.76 0.19 0.625 ± 0.181 0.156 ± 0.160 0.41 0.31
Apodization 1.009 ± 0.088 -0.001 ± 0.023 0.98 0.985 ± 0.026 0.002 ± 0.008 0.85 0.58 0.753 ± 0.097 0.030 ± 0.042 0.50 0.91
Bias-hardened estimators
†† 1.117 ± 0.120 -0.073 ± 0.054 0.17 0.968 ± 0.039 0.022 ± 0.021 0.30 0.33 0.451 ± 0.136 0.273 ± 0.098 0.01 0.11
†† 1.068 ± 0.116 -0.024 ± 0.036 0.52 0.986 ± 0.036 0.004 ± 0.014 0.79 0.79 0.651 ± 0.103 0.074 ± 0.035 0.04 0.09
†† 1.082 ± 0.118 -0.038 ± 0.045 0.43 0.982 ± 0.038 0.008 ± 0.017 0.64 0.62 0.617 ± 0.107 0.107 ± 0.045 0.01 0.06

Notes. The measured overall lensing amplitude  is given for the conservative (40 ≤ L ≤ 400) multipole range, as well as the lower signal-to-noise bins on either side. The difference between the test amplitudes and the corresponding MV result (with amplitudes of , , and for the three multipole ranges) is given as ΔMV. The quoted uncertainty on the difference is obtained using Monte Carlo simulations and therefore accounts for any correlations between the MV and test estimates. The PTE values are estimated by comparison of the χ2 values to the distribution from simulations. PTEs are given for the square of the overall amplitude difference, as well as for the χ2 of the difference between the bandpowers of the binned spectra.

(†)

Comparison is against the SMICA polarization-only reconstruction, rather than the MV reconstruction.

(††)

Comparison is against the SMICA TT reconstruction, rather than the MV reconstruction.

(†††)

This test only involves a change in the simulations used to perform the debiasing corrections and estimate error bars. We have quoted the scatter between the two sets of simulations, although this is an upper limit on the difference that we should actually see for the data.

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