Light-cone mocks demonstrate that analytical corrections for survey-window and integral-constraint effects on PNG in galaxy power spectra lose accuracy below the equality scale and fail when PNG is present, enabling unbiased large-scale measurements.
Wide Angle Effects in Future Galaxy Surveys
4 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.
fields
astro-ph.CO 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Introduces the observer power spectrum as a diagonal Fourier-space statistic for lightcone observables by transforming over observer positions rather than sources.
Simulations in f(R) gravity show that environment density in the HOD model reduces assembly bias effects to 2-3% at z≲0.5 in both ΛCDM and modified gravity.
Lecture series on the physics, phenomenology, and statistics of large-scale cosmic structure evolution and non-Gaussian predictions.
citing papers explorer
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Modeling survey-window and integral-constraint effects on PNG in the galaxy power spectrum with light-cone mocks
Light-cone mocks demonstrate that analytical corrections for survey-window and integral-constraint effects on PNG in galaxy power spectra lose accuracy below the equality scale and fail when PNG is present, enabling unbiased large-scale measurements.
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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
Simulations in f(R) gravity show that environment density in the HOD model reduces assembly bias effects to 2-3% at z≲0.5 in both ΛCDM and modified gravity.
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Large-scale structures of the Universe: physics, phenomenology, statistics
Lecture series on the physics, phenomenology, and statistics of large-scale cosmic structure evolution and non-Gaussian predictions.