The relativistic dipole and gravitational redshift on LSS

Dio, Enea Di; Seljak, Uroš

doi:10.1088/1475-7516/2019/04/050

Cited by 34 publications

(40 citation statements)

References 91 publications

(280 reference statements)

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“…Here v is the peculiar velocity, Φ is the gravitational potential, H is the comoving Hubble parameter and r is the line-of-sight comoving distance. At second order, it is shown in [9] that (see also [12])…”

Section: Introductionmentioning

confidence: 98%

Detecting the relativistic galaxy bispectrum

Maartens

Jolicoeur

Umeh

et al. 2020

J. Cosmol. Astropart. Phys.

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The Fourier-space galaxy bispectrum is complex, with the imaginary part arising from leading-order relativistic corrections, due to Doppler, gravitational redshift and related line-of-sight effects in redshift space. The detection of the imaginary part of the bispectrum is potentially a smoking gun signal of relativistic contributions. We investigate whether nextgeneration spectroscopic surveys could make such a detection. For a Stage IV spectroscopic Hα survey similar to Euclid, we find that the cumulative signal to noise of this relativistic signature is O(10). Long-mode relativistic effects couple to short-mode Newtonian effects in the galaxy bispectrum, but not in the galaxy power spectrum. This is the basis for detectability of relativistic effects in the bispectrum of a single galaxy survey, whereas the power spectrum requires multiple galaxy surveys to detect the corresponding signal.

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Section: Introductionmentioning

confidence: 98%

Detecting the relativistic galaxy bispectrum

Maartens

Jolicoeur

Umeh

et al. 2020

J. Cosmol. Astropart. Phys.

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“…Nevertheless, as shown in Breton et al (2019), the deviation from linear theory appears manifest when we con-sider the relativistic contributions. In particular, the relativistic contributions tend to have a large impact on nonlinear correction (see Di Dio & Seljak 2019, for a quantitative study with perturbation theory), and a large deviation is indeed found for the dipole purely arising from relativistic effects below 40 − 50 h −1 Mpc. In this respect, quasi-linear treatment of wide-angle effects still deserves further investigation.…”

Section: Comparison With Simulationsmentioning

confidence: 98%

Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel’dovich approximation

Taruya

Saga

Breton

et al. 2019

Monthly Notices of the Royal Astronomical Society

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Redshift-space distortions (RSD) in galaxy redshift surveys generally break both the isotropy and homogeneity of galaxy distribution. While the former aspect is particularly highlighted as a probe of growth of structure induced by gravity, the latter aspect, often quoted as wide-angle RSD but ignored in most of the cases, will become important and critical to account for as increasing the statistical precision in next-generation surveys. However, the impact of wide-angle RSD has been mostly studied using linear perturbation theory. In this paper, employing the Zel'dovich approximation, i.e., first-order Lagrangian perturbation theory for gravitational evolution of matter fluctuations, we present a quasi-linear treatment of wide-angle RSD, and compute the cross-correlation function. The present formalism consistently reproduces linear theory results, and can be easily extended to incorporate relativistic corrections (e.g., gravitational redshift).

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“…[25][26][27] for second and Refs. [28][29][30] for third orders). At linear order, the gauge-invariant relativistic number counts read as follows (by following the notation of Refs.…”

Section: Relativistic Effects In the Lyα-quasar Cross-correlation Funmentioning

confidence: 99%

The impact of relativistic effects on the 3D Quasar-Lyman-α cross-correlation

Lepori

Iršič

Viel

2020

J. Cosmol. Astropart. Phys.

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We study the impact of relativistic effects in the 3-dimensional cross-correlation between Lyman-α forest and quasars. Apart from the relativistic effects, which are dominated by the Doppler contribution, several systematic effects are also included in our analysis (intervening metals, unidentified high column density systems, transverse proximity effect and effect of the UV fluctuations). We compute the signal-to-noise ratio for the Baryonic Oscillation Spectroscopic Survey (BOSS), the extended Baryonic Oscillation Spectroscopic Survey (eBOSS) and the Dark Energy Spectroscopic Instrument (DESI) surveys, showing that DESI will be able to detect the Doppler contribution in a Large Scale Structure (LSS) survey for the first time, with a S/N > 7 for r min > 10 Mpc/h, where r min denotes the minimum comoving separation between sources. We demonstrate that several physical parameters, introduced to provide a full modelling of the cross-correlation function, are affected by the Doppler contribution. By using a Fisher matrix approach, we establish that if the Doppler contribution is neglected in the data analysis, the derived parameters will be shifted by a non-negligible amount for the upcoming surveys.

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The relativistic dipole and gravitational redshift on LSS

Cited by 34 publications

References 91 publications

Detecting the relativistic galaxy bispectrum

Detecting the relativistic galaxy bispectrum

Wide-angle redshift-space distortions at quasi-linear scales: cross-correlation functions from Zel’dovich approximation

The impact of relativistic effects on the 3D Quasar-Lyman-α cross-correlation

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