Including the quadrupole in power-spectrum forecasts improves f_NL precision by 45% to 63%, while neglected relativistic and wide-angle corrections shift f_NL by up to 0.6 sigma for MegaMapper.
The Gravitational Lensing in Redshift-space Correlation Functions of Galaxies and Quasars
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abstract
The gravitational lensing, as well as the velocity field and the cosmological light-cone warp, changes the observed correlation function of high-redshift objects. We present an analytical expression of 3D correlation function, simultaneously including those three effects. When two objects are separated over several hundreds Mpc along a line of sight, the observed correlation function is dominated by the effect of gravitational lensing rather than the intrinsic clustering. For a canonical lambda-CDM model, the lensing signals in the galaxy-galaxy and galaxy-QSO correlations are beyond noise levels in large-scale redshift surveys like the Sloan Digital Sky Survey.
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Primordial non-Gaussianity -- the effects of relativistic and wide-angle corrections to the power spectrum
Including the quadrupole in power-spectrum forecasts improves f_NL precision by 45% to 63%, while neglected relativistic and wide-angle corrections shift f_NL by up to 0.6 sigma for MegaMapper.