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Wide-angle and relativistic effects in Fourier-space clustering statistics
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Galaxy power spectrum and bispectrum signals are distorted by peculiar velocities and other relativistic effects arising from a perturbed spacetime background. In addition, study of correlation functions of tracers in Fourier space is often done in the plane-parallel approximation under which it is assumed that line-of-sight (LOS) vectors are parallel. In this work we show that a simple perturbative procedure can be employed for a fast evaluation of beyond plane-parallel (wide-angle) corrections to the power spectrum and bispectrum. We also show that evolution of linear matter density fluctuations in a relativistic context can be found from a simple method. For the power spectrum at linear level, we compare leading order wide-angle contributions to multipoles of the galaxy power spectrum with those from non-integrated and integrated relativistic corrections and estimate their possible contamination on local fNL measurements to be of order a few. We also compute wide-angle corrections in the presence of nonlinear terms at one-loop order. For the bispectrum, we show that wide-angle effects alone, even with fully symmetric choices of LOS, give rise to imaginary, odd-parity multipoles of the galaxy bispectrum (dipole, octupole, etc.) which are in many cases larger than previously known ones of relativistic origin. We calculate these contributions and provide an estimator for measuring the leading order bispectrum dipole from data, using a symmetric LOS definition. Finally, we calculate the leading order corrections to multipoles of real plane-parallel bispectrum multipoles and estimate the apparent local fNL induced to be of order unity.
Forward citations
Cited by 6 Pith papers
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Eq. (25) computes Yamamoto power-spectrum multipoles in linear theory as weighted sums of discrete spherical Fourier-Bessel power-spectrum modes, unifying wide-angle, redshift-evolution, window, and integral-constrain...
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Unbiased analysis of primordial non-Gaussianity: the multipoles of the full relativistic power spectrum
Integrated relativistic (lensing, ISW, time-delay) corrections to power-spectrum multipoles bias predicted f_NL constraints by ~3σ (Euclid) and ~20σ (MegaMapper); a bright-faint split partly offsets the luminosity-fun...
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Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation
A spherical Fourier-Bessel analysis of galaxy clustering lets survey analysts cut only the angular and radial modes contaminated by systematics, preserving large-scale modes that standard multipole analyses would discard.
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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.
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