Output Product: Covariance of Tomographic Cosmic Shear Correlation¶

$SetSchemaPath le3/wl/cmtwopcf/out/euc-le3-wl-cmtwopcf-ShearShear2D.xsd

Data Product Name¶

$PrintDataProductName

Data Product Custodian¶

$PrintDataProductCustodian

Name of the Schema File¶

$PrintSchemaFilename

Last Edited for DPDD Version¶

1.1

Processing Elements Creating / Updating / Using the Product¶

Creators:

LE3_CM_2PCF_WL_ShearShear_Pipeline

Consumers:

WL-SWG

Processing Function using the products¶

SGS pipeline output product to be used by LE3 and SWGs

Proposed for inclusion in EAS/SAS¶

This product is proposed for inclusion in the SAS: Yes

The covariance matrix gives the error estimates of the shear-shear 2-point correlation function.

Data Product Elements¶

$PrintDataProductElements

Detailed Description of the Data Product¶

This product contains the covariance matrix for cosmic shear 2PCF. This output product is a fits binary table containing important input parameters as keywords in primary HDU, and a binary table in the next HDU with the covariance for cosmic shear as described in

le3.wl.cm2pcf.output.shearshear2d.

Extra metadata associated to the FITS container are the following:

SpatialCoverage a description of the spatial footprint [optional, cot:spatialFootprint],
CatalogSelection: describing the selection in the input catalogues [optional, up to 4 elements]
- CatalogFileName: the name of the input catalogue [sys:dataFileName]
- Selection: selection associated to catalogue [string]
- CatalogUse: for which use case the catalog is employed (=[“ShearShear”]) [string among “PosPos”, “PosShear”, “ShearShear”]
- CatalogInfo: whether position or shear information is used in this catalogue (=[“Shear”]) [string among “Pos”, “Shear”]
- CatalogOrder: order associated to catalogue for reporting (e.g. BIN_ID1)[int32]

Keywords¶

This fits table is expected to contain the following keywords in primary HDU, characterizing the important parameters of the product:

$PrintPrimaryHeader fit/euc-le3-wl.xml le3.wl.cm2pcf.output.shearshear2d

The cosmic shear 2PCF are defined as:

\[\begin{split}\xi_\pm &=\langle \epsilon_t \epsilon_t\rangle \pm \langle \epsilon_x \epsilon_x\rangle\\ \xi_x &= \langle \epsilon_t \epsilon_x \rangle\end{split}\]

with $\epsilon_t$ tangential component and $\epsilon_x$ cross component of ellipticity.

Covariance table¶

The table (first HDU, EXTNAME=”RS_COVAR_SHEARSHEAR2D”) will contain the following columns:

$PrintCatalog fit/euc-le3-wl.xml le3.wl.cm2pcf.output.shearshear2d

Note

Under discussion is the possibility in the future of having as first HDU an estimate for Shot Noise :

THETA_1: first angular separation (center of spatial bin) [D, float64]
THETA_2: second angular separation (center of spatial bin) [D, float64]
BIN_COMB1: first index for combination of redshift bins [J, int32]
BIN_COMB2: second index for combination of redshift bins [J, int32]
COV_PP_SH: covariance between shear-shear $\xi_+$ components [D, float64]
COV_MM_SH: covariance between shear-shear $\xi_-$ components [D, float64]
COV_PM_SH: covariance between shear-shear $\xi_+$ and $\xi_-$ components [D, float64]