Output Product: Tomographic Cosmic Shear Correlation

$SetSchemaPath le3/wl/twopcf/out/euc-le3-wl-twopcf-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_2PCF_WL_ShearShear_Pipeline

  • 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

Motivation: the product contains the two-point shear-shear tomographic real-space correlation functions requested by the RSD document.

Data Product Elements

$PrintDataProductElements

Detailed Description of the Data Product

This product contains the tomographic cosmic shear 2PCF.

This output product is a fits file (see le3.wl.2pcf.output.shearshear2d in the following FITS descriptors).

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 1 element]

    • CatalogFileName: the name of the input catalogue [sys:dataFileName]

    • CatalogSHE: type of input catalogue [string among “BFD”, “KSB”, “LensMC”,”MomentsML”,”REGAUSS”,”MER_PHZ”, “OTHER” ]

    • 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 [string among “Pos”, “Shear”] (=[“Shear”])

    • CatalogOrder: order associated to catalogue for reporting (e.g. BIN_ID1)[int32]

The fits file contains:

  • a primary array containing important computation parameters as keywords,

  • binary tables in the next HDUs with cosmic shear 2-PCF for specific redshift bins.

Primary Array

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.2pcf.output.shearshear2d

  1. THMIN: minimal angular value chosen for spatial binning [DoubleKeyword]

  2. THMAX: maximal angular value chosen for spatial binning [DoubleKeyword]

  3. OATH: maximal open angle value used for the approximation [DoubleKeyword]

  4. THUNIT: unit of spatial distance [StringKeyword]

  5. BINSCALE: if linear or logarithmic scales are used for output [StringKeyword]

  6. COORDSYS: if spherical or cartesian computation of distances [StringKeyword]

  7. SHE_SOFT: which SHE catalogue used [StringKeyword]

  8. SHE_SEL: selection for shear catalogue [StringKeyword]

  9. SOFTNAME: name of software used for 2PCF [StringKeyword]

  10. SOFTVERS: version of software used for 2PCF [StringKeyword]

Table (HDU=1…)

The following keywords are added to the header of the HDUs:

$PrintHDUTableContents fit/euc-le3-wl.xml le3.wl.2pcf.output.shearshear2d SHEARSHEAR2D_2PCF_n

  1. BIN_ID1: bin for first catalog [IntegerKeyword]

  2. BIN_ID2: bin for second catalog [IntegerKeyword]

  3. EXTNAME: “SHEARSHEAR2D_2PCF”

and the columns are:

  1. THETA: mean angular separation in the bin [D, float64]

  2. XI_P: cosmic shear 2PCF \(\xi_+\) [D, float64]

  3. XI_M: cosmic shear 2PCF \(\xi_-\) [D, float64]

  4. XI_X: cosmic shear 2PCF \(\xi_x\) [D, float64]

  5. WEIGHT: total weight for the bin [D, float64]

  6. SQRT_D: Poisson error associated to the bin [D, float64]

  7. SQRT_DCOR: Poisson error associated to the bin, down-weighted by the ratio of number of galaxy pairs by the number of nodes [D, float64].

  8. N_PAIR: Number of pairs [D, float64]

The correlation functions 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.

Note

Under discussion is the possibility in the future of having as first HDU a summary table with information on the binning for 2PCF tables (HDU>2):

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

  2. MIN_THETA: minimal angular separation in the bin [D, float64]

  3. MAX_THETA: maximal angular separation in the bin [D, float64]

and in the second hdu a summary table to allow fast access to the HDU corresponding to a particular bin combination:

  1. BIN_ID1: bin for first catalog [J, int32]

  2. BIN_ID2: bin for second catalog [J, int32]

  3. HDU: HDU index [J, int32]