NumCosmoDataXcor

Cross-correlation data object.

This object implements the gaussian likelihood described in \cite{2017arXiv170604583D} for the joint analysis of an arbitrary number of cosmic probes with their auto- and cross-angular pseudo power spectra. The covariance of the pseudo spectra implemented here is \begin{align} \mathrm{Cov}\left( \tilde{C}{\ell}^{AB}, \tilde{C}{\ell’}^{CD} \right) = & \sqrt{ D_{\ell}^{AD} D_{\ell’}^{AD} D_{\ell}^{BC} D_{\ell’}^{BC}} \mathbfss{X_1}{\ell \ell’}^{ABCD}\nonumber \ &+ \sqrt{ D{\ell}^{AC} D_{\ell’}^{AC} D_{\ell}^{BD} D_{\ell’}^{BD}} \mathbfss{X_2}{\ell \ell’}^{ABCD} \end{align} with \begin{equation} D{\ell}^{AB} = \left{ \begin{array}{ll} C_{\ell}^{AB} & \text{if } A \neq B \ C_{\ell}^{AA} + N_{\ell}^{A} & \text{if } A=B \ \end{array}\right. . \end{equation}

The matrices $X_{1/2}$ are fixed and describe the mixing between spectra due to the effect of the masks.