QML-FAST provides a fast, optimal QML power spectrum code for low-ℓ tomographic analysis of up to dozens of correlated scalar fields on the sphere, with public release and validation showing gains over pseudo-C_ℓ at large scales.
Quadratic estimator for CMB cross-correlation
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The Quadratic Maximum Likelihood estimator can be used to reconstruct the Cosmic Microwave Background (CMB) power spectra with minimal error bars. Still, it requires an accurate estimate of the datasets noise covariance matrix in order to be corrected for spurious bias. We describe an extension of this method to cross-correlation, thus removing noise bias and mitigating the impact of systematic effects, providing they are uncorrelated. This estimator is tested on two simulation surveys at large and intermediate angular scales, respectively corresponding to satellite and ground-based CMB experiments. The analysis focuses on polarization maps, over a wide range of noise levels from 0.1 to 50 muK.arcmin. We show how this estimator minimizes the increase of variance due to polarization leakage between E and B modes. We compare this method with the pure pseudo-spectrum formalism which is computationally faster but less optimal, especially on large angular scales.
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Reports f_NL = -20.5^{+19.0}_{-18.1} (68% CL) from combined Quaia quasar auto-correlation and CMB lensing cross-correlation assuming p_phi=1, or -28.7^{+26.1}_{-24.6} for p_phi=1.6.
Forecasts indicate AliCPT combined with Simons Observatory can detect injected E-mode dipole modulation at 99% confidence, while AliCPT alone risks biases in alignment and parity tests due to limited sky coverage.
citing papers explorer
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QML-FAST -- A Fast Code for low-$\ell$ Tomographic Maximum Likelihood Power Spectrum Estimation
QML-FAST provides a fast, optimal QML power spectrum code for low-ℓ tomographic analysis of up to dozens of correlated scalar fields on the sphere, with public release and validation showing gains over pseudo-C_ℓ at large scales.
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Constraints on primordial non-Gaussianity from Quaia
Reports f_NL = -20.5^{+19.0}_{-18.1} (68% CL) from combined Quaia quasar auto-correlation and CMB lensing cross-correlation assuming p_phi=1, or -28.7^{+26.1}_{-24.6} for p_phi=1.6.
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Forecasts of CMB $E$-mode anomalies for AliCPT-1
Forecasts indicate AliCPT combined with Simons Observatory can detect injected E-mode dipole modulation at 99% confidence, while AliCPT alone risks biases in alignment and parity tests due to limited sky coverage.