2022
DOI: 10.1103/physrevd.105.123501
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Analysis method for 3D power spectrum of projected tensor fields with fast estimator and window convolution modeling: An application to intrinsic alignments

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Cited by 9 publications
(8 citation statements)
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“…The prescription for how to perform such projection was presented in [43]. Galaxy shapes can then be described in a basis of E and B-modes and estimated from the actual data [44], similarly to the polarization of the cosmic microwave background [45]. These results will be used and discussed at length in this paper.…”
Section: Jcap10(2023)005mentioning
confidence: 99%
See 1 more Smart Citation
“…The prescription for how to perform such projection was presented in [43]. Galaxy shapes can then be described in a basis of E and B-modes and estimated from the actual data [44], similarly to the polarization of the cosmic microwave background [45]. These results will be used and discussed at length in this paper.…”
Section: Jcap10(2023)005mentioning
confidence: 99%
“…We adopt a specific line of sight n (which we will take to coincide with the z-axis) along which a population of tracers is observed. We make use of the flat-sky (or plane-parallel) approximation, in which the region of the sky that is being observed is approximately planar and perpendicular to the line of sight (see [43,44] for similar treatments). We can thus treat the line of sight as a fixed vector.…”
Section: Power Spectra Of Projected Shape Fieldsmentioning
confidence: 99%
“…x  , can be expressed by a Hankel transform. Since correlation functions of the projected shape are naturally expressed by the associated Legendre polynomial basis (Kurita & Takada 2022), the nonlinear model of g ℓ s ,…”
Section: Intrinsic Alignment Correlationsmentioning
confidence: 99%
“…Similarly to ξ s gg, , multipole moments of the GI correlation, ξ s g+, , can be expressed by a Hankel transform. Since correlation functions of the projected shape are naturally expressed by the associated Legendre polynomial basis (Kurita & Takada 2022), the nonlinear model involving the FoG factor produces infinite series for each Legendre multipole. We computed the expansion up to the twelfth order and confirmed the convergence of the formula.…”
Section: Intrinsic Alignment Correlationsmentioning
confidence: 99%