Primordial non-Gaussianity -- the effects of relativistic and wide-angle corrections to the power spectrum

Abstract

Wide-angle and relativistic corrections to the Newtonian and flat-sky approximations are important for accurate modeling of the galaxy power spectrum of next-generation galaxy surveys. In addition to Doppler and Sachs-Wolfe relativistic corrections, we include the effects of lensing convergence, time delay and integrated Sachs-Wolfe. We investigate the impact of these corrections on measurements of the local primordial non-Gaussianity parameter $f_{\mathrm{NL}}$, using two futuristic spectroscopic galaxy surveys, planned for SKAO2 and MegaMapper. In addition to the monopole, we include the quadrupole of the galaxy Fourier power spectrum. The quadrupole is much more sensitive to the corrections than the monopole. The combination with the quadrupole improves the precision on $f_{\mathrm{NL}}$ by $\sim 45\%$ and $\sim 63\%$ for SKAO2 and MegaMapper respectively. {Neglecting the wide-angle and relativistic corrections produces a shift in $f_{\mathrm{NL}}$ which is very sensitive to the magnification bias and the redshift evolution of the comoving number density. In the case of SKAO2, the shift in $f_{\mathrm{NL}}$ is negligible -- since the contributions to the shift from integrated and non-integrated effects nearly cancel. For MegaMapper, there is only partial cancellation of integrated and non-integrated effects and the shift is $\sim 0.6\sigma$.} We point out that some of the approximations made in the wide-angle and relativistic corrections may artificially suppress the shift in $f_{\mathrm{NL}}$.

26 pages, 15 figures, 7 tables, Additional results. Version accepted by JCAP

References in corpus (24)

• The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
• Primordial Non-Gaussianities from Inflation Models
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Cosmological constraints from BOSS with analytic covariance matrices
• Anti-lensing: the bright side of voids
• Cosmological performance of SKA HI galaxy surveys
• Einstein's legacy in galaxy surveys
• Can we actually constrain $f_{\mathrm{NL}}$ using the scale-dependent bias effect? An illustration of the impact of galaxy bias uncertainties using the BOSS DR12 galaxy power spectrum
• Magnification and evolution biases in large-scale structure surveys
• On the importance of lensing for galaxy clustering in photometric and spectroscopic surveys
• Galaxy Power Spectrum in General Relativity
• Wide-angle and relativistic effects in Fourier-space clustering statistics
• Large Scale Limit of the Observed Galaxy Power Spectrum
• PNG-UNITsims: Halo clustering response to primordial non-Gaussianities as a function of mass
• Taming assembly bias for primordial non-Gaussianity
• Multi-wavelength spectroscopic probes: biases from neglecting light-cone effects
• Wide-angle effects in multi-tracer power spectra with Doppler corrections
• Multipole expansion for 21cm Intensity Mapping power spectrum: forecasted cosmological parameters estimation for the SKA Observatory
• Neglecting Primordial non-Gaussianity Threatens Future Cosmological Experiment Accuracy
• Cosmological Fisher forecasts for next-generation spectroscopic surveys
• The full-sky Spherical Fourier-Bessel power spectrum in general relativity
• Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis
• Relativistic and wide-angle corrections to galaxy power spectra
• Multi-tracing the primordial Universe with future surveys

Cited by in corpus (1)

• Constraints on primordial non-Gaussianity from Quaia