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Fourier Band-Power E/B-mode Estimators For Cosmic Shear
door Cyrus McCubbin (05-09-2025)
We introduce new Fourier band-power estimators for cosmic shear information evaluation and E/B-mode separation. We consider each the case the place one performs E/B-mode separation and Wood Ranger shears the case where one does not. The resulting estimators have a number of nice properties which make them ideally suited for cosmic shear data analysis. First, they can be written as linear combos of the binned cosmic shear correlation capabilities. Second, they account for the survey window perform in real-area. Third, they're unbiased by form noise since they do not use correlation operate knowledge at zero separation. Fourth, the band-power window functions in Fourier house are compact and largely non-oscillatory. Fifth, they can be utilized to assemble band-energy estimators with very efficient information compression properties. 10-400 arcminutes for single tomographic bin could be compressed into only three band-energy estimates. Finally, we will obtain these charges of information compression while excluding small-scale info the place the modeling of the shear correlation capabilities and power spectra could be very difficult.
These instrumental effects can potentially be a lot bigger than the signals we're on the lookout for and may mimic true cosmic shear alerts. Thus they should be removed fastidiously. Luckily, cosmic shear has several constructed-in null tests than can be used to search for and confirm the absence of contamination within the alerts. Checking for B-mode contamination in the cosmic shear indicators is one in every of the most important of those null assessments (Kaiser, 1992). Weak gravitational lensing at the linear degree solely produces parity-free E-mode shear patterns. Small amounts of shear patterns with internet handedness, referred to as B-mode patterns, may be produced by greater-order corrections, however their amplitude is usually a lot too small be observed by current surveys (e.g., Krause & Hirata, 2010). Thus we will use the absence or presence of B-mode patterns in the observed shear discipline to search for systematic errors. PSF patterns typically have similar ranges of E- and B-modes unlike true cosmic shear indicators.
Note that guaranteeing the extent of B-modes in a survey is per zero is a obligatory however not adequate condition for the shear measurements to be error buy Wood Ranger Power Shears Ranger Power Shears sale free. The significance of checking cosmic shear signals for B-mode contamination has motivated a big amount of labor Wood Ranger shears on devising statistical measures of the B-mode contamination (e.g., Schneider et al., 1998; Seljak, 1998; Hu & White, 2001; Schneider et al., Wood Ranger shears 2002a; Schneider & Kilbinger, 2007; Schneider et al., 2010; Hikage et al., 2011; Becker, 2013). The primary obstacle confronting each B-mode estimator is the mixing of E/B-modes in the estimator Wood Ranger shears and the effect of ambiguous modes. This mixing happens on giant-scales when one considers as an alternative of an infinitely massive survey, a survey of finite size. For a finite sized survey, modes with wavelengths of order the patch dimension can typically not be uniquely categorized as either E- or B-modes (e.g., Bunn, 2003). These ambiguous modes can contaminate the E- and B-mode estimators. If all of the facility within the survey is sourced by E-modes, then the ambiguous modes are literally E-modes which then leads to mixing of E-modes into B-modes.