Weight Function

Galaxy Clustering

The expression of the Galaxy Clustering Weight Function is given by:

\[W_{i}^{\mathrm{G}}(z)=b_{i}(z) n_{i}(z) \frac{H(z)}{c}\]

CosmoCentral.GCWeightFunctionStruct — Type

GCWeightFunctionStruct()

This struct contains the array with the Galaxy Bias Galaxy Clustering Weight Function values for all tomographic bins and redshift values in the CosmologicalGridStruct.

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CosmoCentral.ComputeWeightFunction — Method

ComputeWeightFunction(z::Float64, i::Int64,
    ConvolvedDensity::ConvolvedDensity,
    w0waCDMCosmology::w0waCDMCosmologyStruct)

This function returns the Galaxy Clustering Weight function for a given redshift $z$ and tomographic bin $i$.

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CosmoCentral.ComputeWeightFunctionOverGrid — Method

ComputeWeightFunctionOverGrid(GCWeightFunction::GCWeightFunctionStruct,
ConvolvedDensity::AsbtractConvolvedDensity,
CosmologicalGrid::CosmologicalGrid,
BackgroundQuantities::BackgroundQuantities,
w0waCDMCosmology::w0waCDMCosmologyStruct)

This function evaluates the Galaxy Clustering Weight Function over the $z$ grid and for all tomographic bins $i$.

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Weak Lensing

The expression of the Weak Lensing Weight Function is given by:

\[W_{i}^{\gamma}(z)=\frac{3}{2}\left(\frac{H_{0}}{c}\right)^{2} \Omega_{\mathrm{m}, 0}(1+z) r(z) \widetilde{W}_{i}(z)\]

where $\widetilde{W}_{i}(z)$ is the Lensing Efficiency, whose expression is given by

\[\widetilde{W}_{i}(z)=\int_{z}^{z_{\max }} \mathrm{d} z^{\prime} n_{i}\left(z^{\prime}\right)\left[1-\frac{\tilde{r}(z)}{\tilde{r}\left(z^{\prime}\right)}\right]\]

CosmoCentral.WLWeightFunctionStruct — Type

WLWeightFunctionStruct()

This struct contains the array with the Lensing Efficiency and Weak Lensing Weight Function values for all tomographic bins and redshift values in the CosmologicalGridStruct

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CosmoCentral.ComputeWeightFunction — Method

ComputeWeightFunction(z::Float64, i::Int64,
ConvolvedDensity::AsbtractConvolvedDensity,
AnalitycalDensity::AnalitycalDensityStruct,
InstrumentResponse::InstrumentResponse,
w0waCDMCosmology::w0waCDMCosmologyStruct,
CosmologicalGrid::CosmologicalGrid,
WLWeightFunction::WLWeightFunctionStruct)

This function returns the Weak Lensing Weight Function, for a given redshift $z$ and tomographic bin $i$.

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CosmoCentral.ComputeWeightFunctionOverGrid — Method

ComputeWeightFunctionOverGrid(
WLWeightFunction::WLWeightFunctionStruct,
ConvolvedDensity::AsbtractConvolvedDensity,
CosmologicalGrid::CosmologicalGrid,
BackgroundQuantities::BackgroundQuantities,
w0waCDMCosmology::w0waCDMCosmologyStruct)

This function evaluates the Weak Lensing Weight Function over the $z$ grid and for all tomographic bins $i$.

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CosmoCentral.ComputeLensingEfficiency — Method

ComputeLensingEfficiency(z::Float64, i::Int64,
ConvolvedDensity::AsbtractConvolvedDensity,
AnalitycalDensity::AnalitycalDensityStruct,
InstrumentResponse::InstrumentResponse,
w0waCDMCosmology::w0waCDMCosmologyStruct,
CosmologicalGrid::CosmologicalGrid,
WLWeightFunction::WLWeightFunctionStruct)

This function returns the Lensing efficiency, for a given redshift $z$ and tomographic bin $i$.

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CosmoCentral.ComputeLensingEfficiencyOverGrid — Function

ComputeLensingEfficiencyOverGrid(
WLWeightFunction::WLWeightFunctionStruct,
AnalitycalDensity::AnalitycalDensityStruct,
InstrumentResponse::InstrumentResponse,
ConvolvedDensity::AsbtractConvolvedDensity,
CosmologicalGrid::CosmologicalGrid,
BackgroundQuantities::BackgroundQuantities,
w0waCDMCosmology::w0waCDMCosmologyStruct)

This function evaluates the Lensing Efficiency over the $z$ grid and for all tomographic bins $i$.

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CosmoCentral.ComputeLensingEfficiencyOverGridCustom — Function

ComputeLensingEfficiencyOverGridCustom(
WLWeightFunction::WLWeightFunctionStruct,
ConvolvedDensity::AsbtractConvolvedDensity,
CosmologicalGrid::CosmologicalGrid,
BackgroundQuantities::BackgroundQuantities,
w0waCDMCosmology::w0waCDMCosmologyStruct)

This function evaluates the Lensing Efficiency over the $z$ grid and for all tomographic bins $i$.

source