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Register a new userWide angle effects for peculiar velocities
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The line-of-sight peculiar velocities of galaxies contribute to their observed redshifts, breaking the translational invariance of galaxy clustering down to a rotational invariance around the observer. This becomes important when the line-of-sight direction varies significantly across a survey, leading to what are known as `wide angle effects in redshift space distortions. Wide-angle effects will also be present in measurements of the momentum field, i.e. the galaxy density-weighted velocity field, in upcoming peculiar velocity surveys. In this work we study how wide-angle effects modify the predicted correlation function and power spectrum for momentum statistics, both in auto-correlation and in cross-correlation with the density field. Using both linear theory and the Zeldovich approximation, we find that deviations from the plane-parallel limit are large and could become important in data analysis for low redshift surveys. We point out that even multipoles in the cross-correlation between density and momentum are non-zero regardless of the choice of line of sight, and therefore contain new cosmological information that could be exploited. We discuss configuration-space, Fourier-space and spherical analyses, providing exact expressions in each case rather than relying on an expansion in small angles. We hope these expressions will be of use in the analysis of upcoming surveys for redshift-space distortions and peculiar velocities.
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How do peculiar velocities affect observed voids? To answer this question we use the VIDE toolkit to identify voids in mock galaxy populations embedded within an N-body simulation both with and without peculiar velocities included. We compare the resulting void populations to assess the impact on void properties. We find that void abundances and spherically-averaged radial density profiles are mildly affected by peculiar velocities. However, peculiar velocities can distort by up to 10% the shapes for a particular subset of voids depending on the void size and density contrast, which can lead to increased variance in Alcock-Paczynski test. We offer guidelines for performing optimal cuts on the void catalogue to reduce this variance by removing the most severely affected voids while preserving the unaffected ones. In addition, since this shape distortion is largely limited to the line of sight, we show that the void radii are only affected at the $sim$ 10% level and the macrocenter positions at the $sim$ 20% (even before performing cuts), meaning that cosmological probes based on the Integrated Sachs-Wolfe and gravitational lensing are not severely impacted by peculiar velocities.
We show an efficient way to compute wide-angle or all-sky statistics of galaxy intrinsic alignment in three-dimensional configuration space. For this purpose, we expand the two-point correlation function using a newly introduced spin-dependent tripolar spherical harmonic basis. Therefore, the angular dependences on the two line-of-sight (LOS) directions pointing to each pair of objects, which are degenerate with each other in the conventional analysis under the small-angle or plane-parallel (PP) approximation, are unambiguously decomposed. By means of this, we, for the first time, compute the wide-angle auto and cross correlations between intrinsic ellipticities, number densities and velocities of galaxies, and compare them with the PP-limit results. For the ellipticity-ellipticity and density-ellipticity correlations, we find more than $10%$ deviation from the PP-limit results if the opening angle between two LOS directions exceeds $30^circ - 50^circ$. It is also shown that even if the PP-limit result is strictly zero, the non-vanishing correlation is obtained over the various scales, arising purely from the curved-sky effects. Our results indicate the importance of the data analysis not relying on the PP approximation in order to determine the cosmological parameters more precisely and/or find new physics via ongoing and forthcoming wide-angle galaxy surveys.
The Alcock-Paczynski (AP) effect is a geometrical distortion in three-dimensional observed galaxy statistics. In anticipation of precision cosmology based on ongoing and upcoming all-sky galaxy surveys, we build an efficient method to compute the AP-distorted correlations of galaxy number density and peculiar velocity fields for any larger angular scale not relying on the conventionally used plane-parallel (PP) approximation. Here, instead of the usual Legendre polynomial basis, the correlation functions are decomposed using tripolar spherical harmonic basis; hence, characteristic angular dependence due to the wide-angle AP effect can be rigorously captured. By means of this, we demonstrate the computation of the AP-distorted correlations over the various scales. Comparing our results with the PP-limit ones, we confirm that the errors due to the PP approximation become more remarkable as the visual angle of separation between target galaxies, $Theta$, enlarges, and especially for the density auto correlation, the error exceeds $10%$ when $Theta gtrsim 30^circ$. This highlights the importance of the analysis beyond the PP approximation.
It is known that the large-scale structure (LSS) mapped by a galaxy redshift survey is subject to distortions by the galaxies peculiar velocities. Besides the signatures generated in common N-point statistics, such as the anisotropy in the galaxy 2-pt correlation function, the peculiar velocities also induce distinct features in LSSs morphological properties, which are fully described by four Minkowski functionals (MFs), i.e., the volume, surface area, mean curvature and Euler characteristic (or genus). In this work, by using large suite of N-body simulations, we present and analyze these important features in the MFs of LSS on both (quasi-)linear and non-linear scales. With a focus on non-linear scale, we identify the features uniquely induced by the fingers-of-God effect that show up only on non-linear scales, especially in the surface-area weighted mean curvature in high density threshold regions. We also find the MFs may give competitive constraints on cosmological parameters compared to the power spectrum. These results are important for cosmological applications of MFs of LSS, and probablly open up a new way to study the peculiar velocity field itself.
The discrepancy between estimates of the Hubble Constant ($H_0$) measured from local ($z lesssim 0.1$) scales and from scales of the sound horizon is a crucial problem in modern cosmology. Peculiar velocities ($v_{pec}$) of standard candle distance indicators can systematically affect local $H_0$ measurements. We here use 2MRS galaxies to measure the local galaxy density field, finding a notable $z$ < 0.05 under-density in the SGC-6dFGS region of 27 $pm$ 2 %. However, no strong evidence for a Local Void pertaining to the full 2MRS sky coverage is found. Galaxy densities are used to measure a density parameter, $Delta phi_{+-}$, which we introduce as a proxy for $v_{pec}$ which quantifies density gradients along a SN line-of-sight. $Delta phi_{+-}$ is found to correlate with local $H_0$ estimates from 88 Pantheon SNeIa (0.02 < $z$ < 0.05). Density structures on scales of $sim$ 50 Mpc are found to correlate strongest with $H_0$ estimates in both the observational data and in mock data from the MDPL2-Galacticus simulation. Using trends of $H_0$ with $Delta phi_{+-}$, we can correct for the effects of density structure on local $H_0$ estimates, even in the presence of biased $v_{pec}$. However, the difference in the inferred $H_0$ estimate with and without the peculiar velocity correction is limited to < 0.1 %. We conclude that accounting for environmentally-induced peculiar velocities of SNIa host galaxies does not resolve the tension between local and CMB-derived $H_0$ estimates.
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