Numerical complexity of the joint nulled weak-lensing probability distribution function

Abstract

In the context of tomographic cosmic shear surveys, there exists a nulling transformation of weak lensing observations (also called BNT transform) that allows us to simplify the correlation structure of tomographic cosmic shear observations, as well as to build observables that depend only on a localised range of redshifts and thus independent from the low-redshift/small-scale modes. This procedure renders possible accurate, and from-first-principles, predictions of the convergence and aperture mass one-point distributions (PDF). We here explore other consequences of this transformation on the (reduced) numerical complexity of the estimation of the joint PDF between nulled bins and demonstrate how to use these results to make theoretical predictions.

14 pages, published by PRD, comments welcome

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Cited by in corpus (3)

• Euclid Preparation. XXVIII. Forecasts for ten different higher-order weak lensing statistics
• The cumulant generating function as a novel observable to cumulate weak lensing information
• Cosmological gravity on all scales V: MCMC forecasts combining large scale structure and CMB lensing for binned phenomenological modified gravity