Introduction¶
The CM-2PCF-WL is expected to provide the covariance matrices for 3x2pt correlations: tomographic cosmic shear, angular or galaxy-galaxy lensing 2-point correlation functions (2PCF), as well as the covariance matrices for spectra. Covariance matrices for COSEBIs are also estimated from tomographic cosmic shear.
Two anticipated processing are considered:
the first one is based on spatial block-jackknife, and the realisations used to estimate the covariance matrices are obtained with the resampling parameter “spatialResample” set to “Boostrap” or “Jackknife”. This implies to set the spatial splitting parameters according to the number of realisations expected.
In the other scenario, the covariance matrices estimation encompasses multiple 2-PCFs with a specified number of realisations, whether via Bootstrap or (partial) Jackknife. The same inputs are needed as for the 2PCF (i.e. shear catalog and potentially position catalog), with additional parameters. This could be used for instance if the effect of shear or PHZ estimate uncertainty needs be propagated by picking realisations under the posterior of the shear measurement.
In the following, we first present tomographic cosmic shear covariance products, tomographic galaxy-galaxy lensing covariance product s and finally tomographic angular covariance products.
Tomographic cosmic shear covariance¶
To derive the tomographic cosmic shear covariance matrices, resampling parameters CovarTwoPCFWLParams are needed, on top of the same input catalogues and parameters used for computing the 2-point statistics (TwoPCFWLParamsShearShear2D, TwoPCFWLParamsPEBShearShear2D and CovarTwoPCFWLParamsCOSEBIShearShear2D).
The catalogue-resampled 2PCFs are stored in CovarTwoPCFWLResampleShearShear2D while the resampled spectra in CovarTwoPCFWLResamplePEBShearShear2D and the COSEBI realisations in CovarTwoPCFWLResampleCOSEBIShearShear2D).
The block-jackknife or catalogue-resampled covariance matrices for cosmic shear are stored in CovarTwoPCFWLShearShear2D, the covariance matrix for E/B spectra in CovarTwoPCFWLPEBShearShear2D, and the covariance matrix for COSEBIs in CovarTwoPCFWLCOSEBIShearShear2D.
Tomographic galaxy-galaxy lensing covariance¶
To derive the tomographic galaxy-galaxy lensing covariance matrices, resampling parameters CovarTwoPCFWLParams are needed, on top of the same input catalogues and parameters used for computing the 2-point statistics (TwoPCFWLParamsPosShear2D, TwoPCFWLParamsPEBPosShear2D).
The catalogue-resampled 2PCFs are stored in CovarTwoPCFWLResamplePosShear2D while the resampled spectra in CovarTwoPCFWLResamplePEBPosShear2D.
The block-jackknife or catalogue-resampled covariance matrices for cosmic shear are stored in CovarTwoPCFWLPosShear2D, the covariance matrix for E/B spectra in CovarTwoPCFWLPEBPosShear2D.
Tomographic angular covariance¶
To derive the tomographic angular covariance matrices, resampling parameters CovarTwoPCFWLParams are needed, on top of the same input catalogues and parameters used for computing the 2-point statistics (TwoPCFWLParamsPosPos2D, TwoPCFWLParamsClPosPos2D).
The catalogue-resampled 2PCFs are stored in CovarTwoPCFWLResamplePosPos2D while the resampled spectra in CovarTwoPCFWLResampleClPosPos2D.
The block-jackknife or catalogue-resampled covariance matrices for cosmic shear are stored in CovarTwoPCFWLPosPos2D, the covariance matrix for spectra in CovarTwoPCFWLClPosPos2D.
The flowchart for products related to covariance of tomographic angular 2PCF is the following:
For galaxy-galaxy lensing, the flowchart contains the following covariance products:
Finally, covariance of cosmic shear products with additional covariance of COSEBI decomposition are described in the following:
