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The large scale structure bispectrum in the squeezed limit couples large with small scales. Since relativity is important at large scales and non-linear loop corrections are important at small scales, the proper calculation of the observed…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 Lina Castiblanco , Radouane Gannouji , Jorge Noreña , Clément Stahl

We present a theoretical formalism to predict the two-point clustering statistics (the power spectrum and the two-point correlation function), simultaneously taking account of the linear velocity distortion, the nonlinear velocity…

Astrophysics · Physics 2015-06-24 Yasushi Suto , Hiromitsu Magira , Kazuhiro Yamamoto

We present a new observable, position-dependent power spectrum, to measure the large-scale structure bispectrum in the squeezed configuration, where one wavenumber is much smaller than the other two. The squeezed-limit bispectrum measures…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-14 Chi-Ting Chiang

We explore features of redshift distortion in Fourier analysis of N-body simulations. The phases of the Fourier modes of the dark matter density fluctuation are generally shifted by the peculiar motion along the line of sight, the induced…

Astrophysics · Physics 2014-10-13 Yan-Chuan Cai , Jun Pan

Galaxy-galaxy or galaxy-quasar lensing can provide important information on the mass distribution in the Universe. It consists of correlating the lensing signal (either shear or magnification) of a background galaxy/quasar sample with the…

Astrophysics · Physics 2009-05-05 R. Ziour , L. Hui

We analyse the correlation function of mock galaxy clusters in redshift space. We constructed several mock catalogues designed to mimic the selection biases inherent in a variety of observational surveys. We explore different effects that…

Astrophysics · Physics 2009-11-07 N. D. Padilla , D. G. Lambas

In a galaxy redshift survey the objects to be targeted for spectra are selected from a photometrically observed sample. The observed magnitudes and colours of galaxies in this parent sample will be affected by their peculiar velocities,…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-25 Shadab Alam , Rupert A. C. Croft , Shirley Ho , Hongyu Zhu , Elena Giusarma

We present a consistent analysis of linear spectroscopy for arrays of nearest neighbor dipole-coupled two-level molecules that reveals distinct signatures of weak and strong coupling regimes separated for infinite size arrays by a quantum…

Quantum Physics · Physics 2015-06-16 A. A. Kocherzhenko , J. Dawlaty , B. P. Abolins , F. Herrera , D. B. Abraham , K. B. Whaley

The scale-dependent bias of galaxy density contrasts is an important signal to be extracted in constraining local primordial non-Gaussianity ($f_{\rm NL}^{\text{local}}$) from observations of large-scale structure. Constraints so obtained…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-17 Charuhas Shiveshwarkar , Thejs Brinckmann , Marilena Loverde , Matthew McQuinn

The 2dF Galaxy Redshift Survey is the first to observe more than 100,000 redshifts. This allows precise measurements of many of the key statistics of galaxy clustering, in particular redshift-space distortions and the large-scale power…

We present a series of full-shape analyses of galaxy power spectrum multipole measurements from the 6dFGS, BOSS, and eBOSS galaxy surveys. We use an emulated effective field theory of large-scale structure (EFTofLSS) model to conduct these…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-13 Jamie Donald-McCann , Rafaela Gsponer , Ruiyang Zhao , Kazuya Koyama , Florian Beutler

The two-point summary statistics is one of the most commonly used tools in the study of cosmological structure. Starting from the theoretical power spectrum defined in the 3D volume and obtained via the process of ensemble averaging, we…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-02 Alvise Raccanelli , Zvonimir Vlah

Relativistic contributions to the dynamics of structure formation come in a variety of forms, and can potentially give corrections to the standard picture on typical scales of 100 Mpc. These corrections cannot be obtained by Newtonian…

General Relativity and Quantum Cosmology · Physics 2018-08-14 Sambatra Andrianomena , Chris Clarkson , Prina Patel , Obinna Umeh , Jean-Philippe Uzan

Two-parameter perturbation theory is a scheme tailor-made to consistently include nonlinear density contrasts on small scales ($<100\; \mathrm{Mpc}$), whilst retaining a traditional approach to cosmological perturbations in the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Christopher Gallagher , Timothy Clifton , Chris Clarkson

We extend the Fourier transform based method for the analysis of galaxy redshift surveys of Feldman, Kaiser & Peacock (1994: FKP) to model luminosity-dependent clustering. In a magnitude limited survey, galaxies at high redshift are more…

Astrophysics · Physics 2009-11-10 Will J. Percival , Licia Verde , John A. Peacock

We have derived estimators for the linear growth rate of density fluctuations using the cross-correlation function of voids and haloes in redshift space, both directly and in Fourier form. In linear theory, this cross-correlation contains…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-10 Yan-Chuan Cai , Andy Taylor , John A. Peacock , Nelson Padilla

Understanding the relation between underlying matter distribution and biased tracers such as galaxy or dark matter halo is essential to extract cosmological information from ongoing or future galaxy redshift surveys. At sufficiently large…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-24 Shun Saito , Tobias Baldauf , Zvonimir Vlah , Uroš Seljak , Teppei Okumura , Patrick McDonald

We test the regime of validity of one-loop galaxy bias for a wide variety of biased tracers. Our most stringent test asks the bias model to simultaneously match the galaxy-galaxy and galaxy-mass spectrum, using the measured nonlinear matter…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Alexander Eggemeier , Román Scoccimarro , Martin Crocce , Andrea Pezzotta , Ariel G. Sánchez

We present a method for suppressing contributions from higher-order terms in perturbation theory, greatly increasing the amount of information which may be extracted from the matter power spectrum. In an evolved cosmological density field…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Fergus Simpson , Alan F. Heavens , Catherine Heymans

We present the first systematic derivation of the one-loop correction to the large scale matter power spectrum in a mixed cold+hot dark matter cosmology with subdominant massive neutrino hot dark matter. Starting with the equations of…

Astrophysics · Physics 2009-11-19 Yvonne Y. Y. Wong