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Validation of Spherical Fourier-Bessel power spectrum analysis with lognormal simulations and eBOSS DR16 LRG EZmocks

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arxiv 2310.17677 v2 pith:GQEYWE54 submitted 2023-10-26 astro-ph.IM astro-ph.CO

Validation of Spherical Fourier-Bessel power spectrum analysis with lognormal simulations and eBOSS DR16 LRG EZmocks

classification astro-ph.IM astro-ph.CO
keywords simulationsdr16ebosseffectsezmockfourier-bessellognormalpower
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Tuning into the bass notes of the large-scale structure requires careful attention to geometrical effects arising from wide angles. The spherical Fourier-Bessel (SFB) basis provides a harmonic-space coordinate system that fully accounts for all wide-angle effects. To demonstrate the feasibility of the SFB power spectrum, in this paper we validate our SFB pipeline by applying it to lognormal, and both complete and realistic EZmock simulations that were generated for eBOSS DR16 LRG sample. We include redshift space distortions and the local average effect (aka integral constraint). The covariance matrix is obtained from 1000 EZmock simulations, and inverted using eigenvalue decomposition.

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Cited by 3 Pith papers

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

  1. Optimal and exact wide-angle power spectrum estimation

    astro-ph.CO 2026-07 accept novelty 7.0

    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. Impact and measurability of linear relativistic effects in galaxy surveys

    astro-ph.CO 2026-07 accept novelty 6.0

    Neglecting linear GR effects biases f_NL at 1–3σ for Euclid/SPHEREx in SFB forecasts; multi-tracer improves Doppler detection and weakly breaks b_ϕ f_NL degeneracy.

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

    astro-ph.CO 2026-05 unverdicted novelty 6.0

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