Output Product: Covariance of Tomographic Cosmic Shear Correlation

Metadata

Data product name

DpdCovarTwoPCFWLShearShear2D

Data product custodian

WLCMTWOPCF

Name of the Schema file

euc-le3-wl-cmtwopcf-ShearShear2D.xsd

Last Edited for DPDD Version

1.1

Processing Element(s) creating/using the data product

Creators:

  • LE3_CM_2PCF_WL_ShearShear_Pipeline

Consumers:

  • WL-SWG

Processing function using the data product

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

Header

object of type sys:genericHeader

Data

object of type wlcm2pcf:covarTwoPCFWLShearShear2D

QualityFlags

object of type dqc:sqfPlaceHolder

Parameters

object of type ppr:genericKeyValueParameters

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

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:

HDU PRIMARY: header

Name

Description

Value

Keywords

SIMPLE

logical

BITPIX

integer

NAXIS

integer

EXTEND

logical

RS_EST

Estimator for resampling

string

RS_STR

Type of resampling

string

THMIN

Min of angular range

double

THMAX

Max of angular range

double

OATH

Open Angle threshold

double

THUNIT

Unit of theta

string

BINSCALE

lin or log bins

string

COORDSYS

cartesian or spherical

string

NBINS

Number of angular bins

integer

NCOMBS

Number of bin combination

integer

INX_COMB

Inner index of the combination {1 or 2}

integer

SHE_SOFT

Where the input catalogue is coming from (if SHE catalogue used)

string

SHE_SEL

ID of selection made (e.g. tomographic redshifts, stellar mass)

string

SOFTNAME

string

SOFTVERS

string

BLINDING

Flag that identifies products that have been blinded for scientific analysis

string

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:

Catalog: 7 columns table

Name

Description

Unit

Format

THETA_1

Full estimate of covariance matrix Angular separation for first correl

NA

FITS D

THETA_2

Angular separation for second correl

NA

FITS D

BIN_COMB1

Redshift combination for first correl

NA

FITS J

BIN_COMB2

Redshift combination for second correl

NA

FITS J

COV_PP_RS

Covariance Xi| Xi|

NA

FITS D

COV_MM_RS

Covariance Xi- Xi-

NA

FITS D

COV_PM_RS

Covariance Xi| Xi-

NA

FITS D

Note

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

  1. THETA_1: first angular separation (center of spatial bin) [D, float64]

  2. THETA_2: second angular separation (center of spatial bin) [D, float64]

  3. BIN_COMB1: first index for combination of redshift bins [J, int32]

  4. BIN_COMB2: second index for combination of redshift bins [J, int32]

  5. COV_PP_SH: covariance between shear-shear \(\xi_+\) components [D, float64]

  6. COV_MM_SH: covariance between shear-shear \(\xi_-\) components [D, float64]

  7. COV_PM_SH: covariance between shear-shear \(\xi_+\) and \(\xi_-\) components [D, float64]