Summary of the robustness tests performed on the 1800 mocks using MLE. We show the average values of α and its 1σ standard deviation for all the mocks, the standard deviation of α obtained only for the detected mocks Sα, and the fraction of detected mocks. The fiducial case we adopt has a template A0 + A1ℓ + A2ℓ−2 and Δℓ = 15, 30 < ℓ < 330 shown in boldface.
| Case . | 〈α〉 . | 〈σ〉 . | Sα . | f(Ndet) . | Mean of mocks . |
|---|---|---|---|---|---|
| Δℓ = 15, 30 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.058 | 0.752 | |$1.008 \pm 0.056\,$| |
| |$\mathbf {A_0+A_1 \ell +A_2 \ell ^{-2}}$| | |$\mathbf {1.007}$| | |$\mathbf {0.058}$| | |$\mathbf {0.053}$| | |$\mathbf {0.864}$| | |$\mathbf {1.009 \pm 0.056}\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.851 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 300: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.060 | 0.734 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.006 | 0.059 | 0.056 | 0.812 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.009 | 0.057 | 0.057 | 0.790 | |$1.012 \pm 0.057\,$| |
| Δℓ = 15, 45 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.059 | 0.736 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.057 | 0.054 | 0.841 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.839 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 320: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.060 | 0.731 | |$1.008 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.058 | 0.055 | 0.833 | |$1.008 \pm 0.057\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.057 | 0.831 | |$1.014 \pm 0.057\,$| |
| Case . | 〈α〉 . | 〈σ〉 . | Sα . | f(Ndet) . | Mean of mocks . |
|---|---|---|---|---|---|
| Δℓ = 15, 30 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.058 | 0.752 | |$1.008 \pm 0.056\,$| |
| |$\mathbf {A_0+A_1 \ell +A_2 \ell ^{-2}}$| | |$\mathbf {1.007}$| | |$\mathbf {0.058}$| | |$\mathbf {0.053}$| | |$\mathbf {0.864}$| | |$\mathbf {1.009 \pm 0.056}\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.851 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 300: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.060 | 0.734 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.006 | 0.059 | 0.056 | 0.812 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.009 | 0.057 | 0.057 | 0.790 | |$1.012 \pm 0.057\,$| |
| Δℓ = 15, 45 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.059 | 0.736 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.057 | 0.054 | 0.841 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.839 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 320: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.060 | 0.731 | |$1.008 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.058 | 0.055 | 0.833 | |$1.008 \pm 0.057\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.057 | 0.831 | |$1.014 \pm 0.057\,$| |
Summary of the robustness tests performed on the 1800 mocks using MLE. We show the average values of α and its 1σ standard deviation for all the mocks, the standard deviation of α obtained only for the detected mocks Sα, and the fraction of detected mocks. The fiducial case we adopt has a template A0 + A1ℓ + A2ℓ−2 and Δℓ = 15, 30 < ℓ < 330 shown in boldface.
| Case . | 〈α〉 . | 〈σ〉 . | Sα . | f(Ndet) . | Mean of mocks . |
|---|---|---|---|---|---|
| Δℓ = 15, 30 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.058 | 0.752 | |$1.008 \pm 0.056\,$| |
| |$\mathbf {A_0+A_1 \ell +A_2 \ell ^{-2}}$| | |$\mathbf {1.007}$| | |$\mathbf {0.058}$| | |$\mathbf {0.053}$| | |$\mathbf {0.864}$| | |$\mathbf {1.009 \pm 0.056}\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.851 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 300: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.060 | 0.734 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.006 | 0.059 | 0.056 | 0.812 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.009 | 0.057 | 0.057 | 0.790 | |$1.012 \pm 0.057\,$| |
| Δℓ = 15, 45 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.059 | 0.736 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.057 | 0.054 | 0.841 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.839 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 320: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.060 | 0.731 | |$1.008 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.058 | 0.055 | 0.833 | |$1.008 \pm 0.057\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.057 | 0.831 | |$1.014 \pm 0.057\,$| |
| Case . | 〈α〉 . | 〈σ〉 . | Sα . | f(Ndet) . | Mean of mocks . |
|---|---|---|---|---|---|
| Δℓ = 15, 30 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.058 | 0.752 | |$1.008 \pm 0.056\,$| |
| |$\mathbf {A_0+A_1 \ell +A_2 \ell ^{-2}}$| | |$\mathbf {1.007}$| | |$\mathbf {0.058}$| | |$\mathbf {0.053}$| | |$\mathbf {0.864}$| | |$\mathbf {1.009 \pm 0.056}\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.851 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 300: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.003 | 0.051 | 0.060 | 0.734 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.006 | 0.059 | 0.056 | 0.812 | |$1.006 \pm 0.058\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.009 | 0.057 | 0.057 | 0.790 | |$1.012 \pm 0.057\,$| |
| Δℓ = 15, 45 < ℓ < 330: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.059 | 0.736 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.057 | 0.054 | 0.841 | |$1.009 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.055 | 0.839 | |$1.013 \pm 0.056\,$| |
| Δℓ = 20, 40 < ℓ < 320: | |||||
| A0 + A1ℓ + A2ℓ−1 | 1.004 | 0.050 | 0.060 | 0.731 | |$1.008 \pm 0.056\,$| |
| A0 + A1ℓ + A2ℓ−2 | 1.007 | 0.058 | 0.055 | 0.833 | |$1.008 \pm 0.057\,$| |
| A0 + A1ℓ + A2ℓ2 | 1.011 | 0.056 | 0.057 | 0.831 | |$1.014 \pm 0.057\,$| |
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