24–28 Aug 2026
Leiden University
Europe/Zurich timezone

Optimal methods for cross-correlating projected and filtered tracers of large scale structure

Not scheduled
15m
Gorlaeus gebouw (Leiden University)

Gorlaeus gebouw

Leiden University

Einsteinweg 55, 2333 CC Leiden
Poster

Speaker

Nathan Burwig (Arizona State University)

Description

Cross-correlations between surveys which retain line-of-sight (LOS) structure - such as line-intensity-mapping (LIM) or spectroscopic surveys - and projected fields - such as CMB lensing - represent a powerful avenue for extracting cosmological information from next-generation experiments. Common approaches include tomographic binning of the radially-resolved field into 2D slices, projecting the field into a single 2D map using an assumed kernel, or correlating individual line-of-sight Fourier modes with the projected field directly. Given the improving quality of large-scale structure measurements, it is useful to systematically assess the optimality of various cross-correlation approaches. To this end, we develop a framework for constructing Fisher-optimal projection kernels for the 2Dx2D case which we frame as a quadratic optimization problem solved numerically over redshift compression weights. Using 21cm LIM and CMB lensing as the prototypical toy model, we find that Fisher-optimal projection recovers more information than naive kernel choices in the presence of foreground filtering. We additionally analyze the impact of light-cone evolution on the information content of such cross-correlations.

Author

Nathan Burwig (Arizona State University)

Co-author

Dr Simon Foreman (Arizona State University)

Presentation materials

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