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• W3204641175 abstract "Cross-correlating cosmic microwave background (CMB) lensing and galaxy clustering has been shown to greatly improve the constraints on the local primordial non-Gaussianity (PNG) parameter ${f}_{mathrm{NL}}$ by reducing sample variance and also parameter degeneracies. To model the full use of the 3D information of galaxy clustering, we forecast ${f}_{mathrm{NL}}$ measurements using the decomposition in the spherical Fourier-Bessel (SFB) basis, which can be naturally cross-correlated with 2D CMB lensing in spherical harmonics. In the meantime, such a decomposition would also enable us to constrain the growth rate of structure, a probe of gravity, through the redshift-space distortion (RSD). As a comparison, we also consider the tomographic spherical harmonic (TSH) analysis of galaxy samples with different bin sizes. Assuming galaxy samples that mimic a few future surveys, we perform Fisher forecasts using linear modes for ${f}_{mathrm{NL}}$ and the growth-rate exponent $ensuremath{gamma}$, marginalized over standard $mathrm{ensuremath{Lambda}}$ cold dark matter ($mathrm{ensuremath{Lambda}}mathrm{CDM}$) cosmological parameters and two nuisance parameters that account for clustering bias and magnification bias. Compared to TSH analysis using only one bin, SFB analysis could improve $ensuremath{sigma}({f}_{mathrm{NL}})$ by a factor of 3 to 12 thanks to large radial modes. With future wide-field and high-redshift photometric surveys like the LSST, the constraint $ensuremath{sigma}({f}_{mathrm{NL}})<1$ could be achieved using linear angular multipoles up to ${ensuremath{ell}}_{mathrm{min}}ensuremath{simeq}20$. Compared to using galaxy autopower spectra only, joint analyses with CMB lensing could improve $ensuremath{sigma}(ensuremath{gamma})$ by a factor of 2 to 5 by reducing degeneracies with other parameters, especially the clustering bias. For future spectroscopic surveys like the DESI or Euclid, using linear scales, $ensuremath{gamma}$ could be constrained to 3% precision, assuming the GR fiducial value." @default.
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• W3204641175 date "2021-11-19" @default.
• W3204641175 modified "2023-09-30" @default.
• W3204641175 title "Joint analyses of 2D CMB lensing and 3D galaxy clustering in the spherical Fourier-Bessel basis" @default.
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• W3204641175 doi "https://doi.org/10.1103/physrevd.104.103523" @default.
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