Observed unequal-time power spectrum

Spezzati, Francesco; Vanzan, Eleonora; Raccanelli, Alvise; Vlah, Zvonimir; Bertacca, Daniele (2025) Observed unequal-time power spectrum. Physical Review D, 112 (2). ISSN 2470-0010

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Abstract

The next generation of galaxy surveys will provide highly precise measurements of galaxy clustering, therefore requiring a corresponding accuracy. Current approaches, which rely on approximations and idealized assumptions, may fall short in capturing the level of detail required for high-precision observations. In order to increase the modeling accuracy, recently, unequal-time contributions to the galaxy power spectrum have been introduced in order to include the effects of radial correlations. We present a generalization of the formalism for the observed unequal-time power spectrum, that includes Doppler and local general relativistic corrections, plus local primordial non-Gaussianity. We find that unequal-time corrections can potentially mimic an effective f NL of order unity. We provide a first assessment of the significance of unequal-time corrections for future galaxy clustering experiments, estimating a signal-to-noise ratio of ∼ 3 for stage-IV- like surveys.

Item Type:	Article
Uncontrolled Keywords:	power spectrum; large scale structure
Subjects:	NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields NATURAL SCIENCES > Physics > Astronomy and Astrophysics
Divisions:	Theoretical Physics Division
Depositing User:	Zvonimir Vlah
Date Deposited:	09 Jan 2026 11:18
URI:	http://fulir.irb.hr/id/eprint/10775
DOI:	10.1103/5jh2-5z9d

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