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Wide-Angle Effects in the Power Spectrum Multipoles in Next-Generation Redshift Surveys

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arxiv 2404.04811 v1 pith:LLUKPW5C submitted 2024-04-07 astro-ph.CO

Joshua N. Benabou , Isabel Sands , Henry S. Grasshorn Gebhardt , Chen Heinrich , Olivier Doré This is my paper · ORCID
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keywords effectsmultipolespowerspectrumlargeperturbativeredshiftsurveys
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abstract

As galaxy redshift surveys expand to larger areas on the sky, effects coming from the curved nature of the sky become important, introducing wide-angle (WA) corrections to the power spectrum multipoles at large galaxy-pair separations. These corrections particularly impact the measurement of physical effects that are predominantly detected on large scales, such the local primordial non-Gaussianities. In this paper, we examine the validity of the perturbative approach to modeling WA effects in the power spectrum multipoles for upcoming surveys by comparing to measurements on simulated galaxy catalogs using the Yamamoto estimator. We show that on the scales $k \lesssim 2\pi/\chi$, where $\chi$ is the comoving distance to the galaxies, the estimated power spectrum monopole differs by up to $5\%$ from the second-order perturbative result, with similar absolute deviations for higher multipoles. To enable precision comparison, we pioneer an improved treatment of the $\mu$-leakage effects in the Yamamoto estimator. Additionally, we devise a solution to include $f_{\rm NL}$ in the perturbative WA calculations, avoiding divergences in the original framework through the integral constraint. This allows us to conclude that WA effects can mimic a $f_{\rm NL}\sim5$ signal in the lowest SPHEREx redshift bin. We recommend using non-perturbative methods to model large scale power spectrum multipoles for $f_{\rm NL}$ measurements. A companion paper, Wen et al. 2024, addresses this by introducing a new non-perturbative method going through the spherical Fourier-Bessel basis.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Optimal and exact wide-angle power spectrum estimation

    astro-ph.CO 2026-07 accept novelty 7.0 of 10

    For finite-rank signals the optimal wide-angle estimator is the two-ℓ Yamamoto form, whose exact window is a finite FFT-computable sum that improves ultra-large-scale SNR by O(1).

  2. The observer power spectrum for lightcone statistics, integrated relativistic observables and wide angle effects

    astro-ph.CO 2026-05 unverdicted novelty 6.0 of 10

    Introduces the observer power spectrum as a diagonal Fourier-space statistic for lightcone observables by transforming over observer positions rather than sources.

  3. Large-scale Modeling of the Observed Power Spectrum Multipoles

    astro-ph.CO 2026-01 conditional novelty 6.0 of 10

    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...

  4. Unbiased analysis of primordial non-Gaussianity: the multipoles of the full relativistic power spectrum

    astro-ph.CO 2025-11 conditional novelty 6.0 of 10

    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...

  5. Separating Angular and Radial Modes with Spherical-Fourier Bessel Power Spectrum on All Scales and Implications for Systematics Mitigation

    astro-ph.CO 2025-06 conditional novelty 6.0 of 10

    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.

  6. Constraining primordial non-Gaussianity with DESI 2024 LRG and QSO samples

    astro-ph.CO 2024-11 conditional novelty 6.0 of 10

    The authors use DESI DR1 LRG and QSO clustering to measure f_NL^loc = -3.6 (+9.0/-9.1) at 68% confidence, the tightest galaxy-survey constraint on local primordial non-Gaussianity to date.

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

    astro-ph.CO 2024-12 conditional novelty 5.0 of 10

    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.

  8. Cosmology with HI Intensity Mapping

    astro-ph.CO 2026-07 accept novelty 4.0 of 10

    SKAO HI intensity mapping forecasts yield competitive LambdaCDM constraints (e.g. H0 to ~0.3 km/s/Mpc optimistic) via power spectrum, BAO, bispectrum and stacking, complementary to CMB and optical surveys.

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