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Related papers: Multi-tracer power spectra and bispectra: Formalis…

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We show how to obtain constraints on $\beta=f/b$, the ratio of the matter growth rate and the bias that quantifies the linear redshift-space distortions, that are independent of the cosmological model, using multiple tracers of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-19 L. Raul Abramo , Luca Amendola

Surveys of the matter distribution contain `fossil' information on possible non-Gaussianity that is generated in the primordial Universe. This primordial signal survives only on the largest scales where cosmic variance is strongest. By…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-10 Sheean Jolicoeur , Roy Maartens , Simthembile Dlamini

We derive general expressions for the multi-tracer Fisher matrix, both assuming that the cross-spectra are constrained by the auto-spectra, and also allowing for independent degrees of freedom in the cross-spectra. We show that, just like…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 L. Raul Abramo , Ian L. Tashiro , João V. D. Ferri

We re-examine a genuine power of weak lensing bispectrum tomography for constraining cosmological parameters, when combined with the power spectrum tomography, based on the Fisher information matrix formalism. To account for the full…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-21 Issha Kayo , Masahiro Takada

Modern datasets have the precision necessary to uncover new information by including higher-order, non-Gaussian information into cosmological inference. The marked power spectrum offers access to such information while preserving the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-05 Haruki Ebina , Martin White , Edmond Chaussidon

One major goal of upcoming large-scale-structure surveys is to constrain dark energy and modified gravity theories. In particular, galaxy clustering and gravitational lensing convergence are probes sensitive to modifications of general…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-04 Chen Heinrich , Olivier Doré

The turnover scale of the power spectrum is related to the size of the particle horizon at the matter-radiation equality, which can be used as a standard ruler to constrain cosmological parameters. In this work, we apply a model-independent…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-12 Yan Lai , Cullan Howlett , Tamara Davis

Long-baseline optical interferometry uses the power spectrum and bispectrum constructs as fundamental observables. Noise arising in the detection of the fringe pattern gives rise to both variance and biases in the power spectrum and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 J. A. Gordon , D. F. Buscher

We study the performance of the perturbative bias expansion when combined with the multi-tracer technique, and their impact on the extraction of cosmological parameters. We consider two populations of tracers of large-scale structure and…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-14 Thiago Mergulhão , Henrique Rubira , Rodrigo Voivodic , L. Raul Abramo

A large fraction of the information collected by cosmological surveys is simply discarded to avoid lengthscales which are difficult to model theoretically. We introduce a new technique which enables the extraction of useful information from…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-08 Fergus Simpson , J. Berian James , Alan F. Heavens , Catherine Heymans

Upcoming stage 4 surveys, such as the Simons Observatory, LSST, and Euclid, are poised to measure weak gravitational lensing of the Cosmic Microwave Background (CMB) and galaxies with unprecedented precision. While the power spectrum is the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Jonas Frugte , P. Daniel Meerburg

We consider the power spectrum of a biased tracer observed in a finite volume in the presence of a large-scale overdensity and tidal fields. Expanding both the observed power spectrum and the source fields (linear power spectrum, scalar…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-08 Chi-Ting Chiang , Anže Slosar

We use the Fisher-matrix formalism to investigate whether the galaxy bispectrum in redshift space, $B$, contains additional cosmological information with respect to the power spectrum, $P$. We focus on a $Euclid$-like survey and consider…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-10 Victoria Yankelevich , Cristiano Porciani

The greatest challenge in the interpretation of galaxy clustering data from any surveys is galaxy bias. Using a simple Fisher matrix analysis, we show that the bispectrum provides an excellent determination of linear and non-linear bias…

Astrophysics · Physics 2008-11-26 Emiliano Sefusatti , Eiichiro Komatsu

After reionisation, the 21cm emission line of neutral hydrogen within galaxies provides a tracer of dark matter. Next-generation intensity mapping surveys, with the SKA and other radio telescopes, will cover large sky areas and a wide range…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-07 Dionysios Karagiannis , José Fonseca , Roy Maartens , Stefano Camera

Most of the upcoming cosmological information will come from analyzing the clustering of the Large Scale Structures (LSS) of the universe through LSS or CMB observations. It is therefore essential to be able to understand their behavior…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Tomohiro Fujita , Valentin Mauerhofer , Leonardo Senatore , Zvonimir Vlah , Raul Angulo

Cosmological parameter estimation from forthcoming experiments promise to reach much greater precision than current constraints. As statistical errors shrink, the required control over systematic errors increases. Therefore, models or…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-07 José Luis Bernal , Nicola Bellomo , Alvise Raccanelli , Licia Verde

We examine how lensing tomography with the bispectrum and power spectrum can constrain cosmological parameters and the equation of state of dark energy. Our analysis uses the full information at the two- and three-point level from angular…

Astrophysics · Physics 2010-04-06 Masahiro Takada , Bhuvnesh Jain

The present spatial distribution of galaxies in the Universe is non-Gaussian, with 40% skewness in 50 Mpc/h spheres, and remarkably little is known about the information encoded in it about cosmological parameters beyond the power spectrum.…

Astrophysics · Physics 2008-11-26 Emiliano Sefusatti , Martin Crocce , Sebastian Pueblas , Roman Scoccimarro

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