Introduces the observer power spectrum as a diagonal Fourier-space statistic for lightcone observables by transforming over observer positions rather than sources.
Wide Angle Effects in Future Galaxy Surveys
3 Pith papers cite this work. Polarity classification is still indexing.
abstract
Current and future galaxy surveys cover a large fraction of the entire sky with a significant redshift range, and the recent theoretical development shows that general relativistic effects are present in galaxy clustering on very large scales. This trend has renewed interest in the wide angle effect in galaxy clustering measurements, in which the distant-observer approximation is often adopted. Using the full wide-angle formula for computing the redshift-space correlation function, we show that compared to the sample variance, the deviation in the redshift-space correlation function from the simple Kaiser formula with the distant-observer approximation is negligible in galaxy surveys such as the SDSS, Euclid and the BigBOSS, if the theoretical prediction from the Kaiser formula is properly averaged over the survey volume. We also find corrections to the wide-angle formula and clarify the confusion in literature between the wide angle effect and the velocity contribution in galaxy clustering. However, when the FKP method is applied, substantial deviations can be present in the power spectrum analysis in future surveys, due to the non-uniform distribution of galaxy pairs.
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astro-ph.CO 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
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citing papers explorer
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The observer power spectrum for lightcone statistics, integrated relativistic observables and wide angle effects
Introduces the observer power spectrum as a diagonal Fourier-space statistic for lightcone observables by transforming over observer positions rather than sources.
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Galaxy formation in modified gravity -- II. galaxy halo connection and assembly bias
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Large-scale structures of the Universe: physics, phenomenology, statistics
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