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We describe an attempt to reconstruct the initial conditions for the formation of cosmological large-scale structure. The power spectrum of the primordial fluctuations is affected by bias, nonlinear evolution and redshift-space distortions,…

Astrophysics · Physics 2015-06-24 J. A. Peacock , S. J. Dodds

Inflationary models predict a correlation between primordial density perturbations (scalar metric perturbations) and gravitational waves (tensor metric perturbations) in the form of a scalar-scalar-tensor three-point correlation, or…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-09 Liang Dai , Donghui Jeong , Marc Kamionkowski

In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

Line-intensity mapping (LIM) provides a promising way to probe cosmology, reionization and galaxy evolution. However, its sensitivity to cosmology and astrophysics at the same time is also a nuisance. Here we develop a comprehensive…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 José Luis Bernal , Patrick C. Breysse , Héctor Gil-Marín , Ely D. Kovetz

Primordial non-Gaussianities (PNG) leave unique signatures in the bispectrum of the large-scale structure. With upcoming galaxy surveys set to improve PNG constraints by at least one order of magnitude, it is important to account for any…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-08 Kevin Pardede , Enea Di Dio , Emanuele Castorina

We examine the signature of dynamic (redshift-space) distortions and geometric distortions (including the Alcock-Paczynski effect) in the context of the galaxy power spectrum measured in upcoming galaxy redshift surveys. Information comes…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-03 Jonathan Blazek , Uroš Seljak , Zvonimir Vlah , Teppei Okumura

We analyse the anisotropic clustering of the Baryon Oscillation Spectroscopic Survey (BOSS) CMASS Data Release 11 (DR11) sample, which consists of $690\,827$ galaxies in the redshift range $0.43 < z < 0.7$ and has a sky coverage of…

The galaxy bispectrum, measuring excess clustering of galaxy triplets, offers a probe of dark energy via baryon acoustic oscillations (BAOs). However up to now it has been severely underused due to the combinatorically explosive number of…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-21 Hillary L. Child , Masahiro Takada , Takahiro Nishimichi , Tomomi Sunayama , Zachary Slepian , Salman Habib , Katrin Heitmann

We compute the full-sky angular power spectrum and bispectrum, along with their Fisher matrices, to forecast constraints on cosmological parameters for the BINGO and SKA1-MID Band 2 radio telescopes. This represents the first forecast…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-23 Rodrigo F. Pinheiro , André A. Costa , Yu Sang

We present a joint likelihood analysis of the real-space power spectrum and bispectrum measured from a variety of halo and galaxy mock catalogs. A novel aspect of this work is the inclusion of nonlinear triangle configurations for the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Alexander Eggemeier , Román Scoccimarro , Robert E. Smith , Martin Crocce , Andrea Pezzotta , Ariel G. Sánchez

The bispectrum provides a characteristic signature of gravitational instability that can be used to probe the Gaussianity of the initial conditions and the bias of the galaxy distribution. We study how this signature is affected by redshift…

Astrophysics · Physics 2009-10-30 Roman Scoccimarro , H. M. P. Couchman , Joshua A. Frieman

In this paper we derive a full expression for the propagation of multiplicative and additive shape measurement biases into the cosmic shear power spectrum. In doing so we identify several new terms that are associated with selection…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-16 T. D. Kitching , P. Paykari , H. Hoekstra , M. Cropper

We perform for the first time a joint analysis of the monopole and quadrupoles for power spectrum, bispectrum and integrated trispectrum (i-trispectrum) from the redshift space matter field in N-body simulations. With a full Markov Chain…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-09 Davide Gualdi , Hector Gil-Marin , Licia Verde

We measure the angular power spectrum and bispectrum of the projected overdensity of photometric DESI luminous red galaxies, and its cross-correlation with maps of the Cosmic Microwave Background lensing convergence from \planck. This…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Lea Harscouet , David Alonso , Andrina Nicola , Anže Slosar

Baryon acoustic oscillations (BAOs) imprinted in the galaxy power spectrum can be used as a standard ruler to determine angular diameter distance and Hubble parameter at high redshift galaxies. Combining redshift distortion effect which…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-07 Atsushi Taruya , Shun Saito , Takahiro Nishimichi

Understanding the properties of the galactic emission at millimetre wavelengths is important for studies of the cosmic microwave background (CMB). In this work we explore the bispectrum, the harmonic equivalent of the three point function,…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-06 William R. Coulton , David N. Spergel

We study the projected clustering of photometric luminous red galaxies from the DESI Legacy Survey, combining their angular power spectrum, bispectrum, and cross-correlation with maps of the CMB lensing convergence from the Planck…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-21 Francesco Verdiani , Lea Harscouet , Matteo Zennaro , David Alonso , Boryana Hadzhiyska

We examine the effect of a threshold bias on the power spectrum and the bispectrum in an ensemble of numerical simulations (Gaussian initial perturbations with power law spectra P(k) \sim k^n, n=+1, 0, -1, -2) and compare our results with…

Astrophysics · Physics 2015-06-24 J. N. Fry , Adrian L. Melott , Sergei F. Shandarin

Given the important role that the galaxy bispectrum has recently acquired in cosmology and the scale and precision of forthcoming galaxy clustering observations, it is timely to derive the full expression of the large-scale bispectrum going…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-31 Daniele Bertacca , Alvise Raccanelli , Nicola Bartolo , Michele Liguori , Sabino Matarrese , Licia Verde

We study features in the bispectrum of the primordial curvature perturbation correlated with the reconstructed primordial power spectrum from the observed cosmic microwave background temperature data. We first show how the bispectrum can be…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-25 Stephen Appleby , Jinn-Ouk Gong , Dhiraj Kumar Hazra , Arman Shafieloo , Spyros Sypsas