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- W3206064251 abstract "One probe for systematic effects in gravitational lensing surveys is the presence of so-called B-modes in the cosmic shear two-point correlation functions xi_pm(vt), since lensing is expected to produce only E-mode shear. Furthermore, there exist ambiguous modes which can not uniquely be assigned to either E- or B-mode shear. We derive explicit equations for the pure-mode shear correlation functions xi_pm^E/B(vt) and their ambiguous components xi_pm^amb(vt), that can be derived from the measured xi_pm(vt) on a finite angular interval tminlevtletmax, such that the latter can be decomposed uniquely into pure-mode functions as xi_+=xi_+^E+xi_+^B+xi_+^amb and xi_-=xi_-^E-xi_-^B+xi_-^amb. The derivation is obtained by defining a new set of COSEBIs, for which explicit relations are obtained, and which yields a smaller covariance between COSEBI modes. We derive the relation between xi_pm^E/B/amb and the underlying E-/B-mode power spectra. The pure-mode correlation functions can provide a diagnostics of systematics in configuration space. We then apply our results to SLICS simulations and the KiDS-1000 cosmic shear data, calculate the new COSEBIs and the pure-mode correlation functions, as well as the corresponding covariances, and show that the new statistics fit equally well to the best-fitting cosmological model as the previous KiDS-1000 analysis and recovers the same level of (insignificant) B-modes. We also consider in some detail the ambiguous modes at first- and second-order level, finding some surprising results; for example, the shear field of a point mass, when cut along a line through the center, can not be ascribed uniquely to an E-mode shear and is thus ambiguous, and the shear correlation functions resulting from a random ensemble of point masses, when measured over a finite angular range, correspond to an ambiguous mode." @default.
- W3206064251 created "2021-10-25" @default.
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- W3206064251 date "2022-08-01" @default.
- W3206064251 modified "2023-09-27" @default.
- W3206064251 title "Pure-mode correlation functions for cosmic shear and application to KiDS-1000" @default.
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- W3206064251 doi "https://doi.org/10.1051/0004-6361/202142479" @default.
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