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We prove that, in a generic single-field model, the consistency relation for the 3-point function in the squeezed limit receives corrections that vanish quadratically in the ratio of the momenta, i.e. as (k_L/k_S)^2. This implies that a…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-16 Paolo Creminelli , Guido D'Amico , Marcello Musso , Jorge Noreña

We consider the contribution to the three-point function of matter density fluctuations from nonlinear growth after modes re-enter the horizon, and discuss effects that must be included in order to predict the three-point function with an…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 A. Liam Fitzpatrick , Leonardo Senatore , Matias Zaldarriaga

We present a fast and accurate formulation for computing the nonlinear matter power spectrum at one-loop order based on Unified Lagrangian Perturbation Theory (ULPT). ULPT decomposes the density field into the Jacobian deviation, capturing…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-23 Naonori Sugiyama

We measure the linear power spectrum of mass density fluctuations at redshift z=2.5 from the \lya forest absorption in a sample of 19 QSO spectra, using the method introduced by Croft et al. (1998). The P(k) measurement covers the range…

Astrophysics · Physics 2009-10-31 Rupert A. C. Croft , David H. Weinberg , Max Pettini , Lars Hernquist , Neal Katz

We argue that the neutrino oscillation probabilities in matter are best understood by allowing the mixing angles and mass-squared differences in the standard parametrization to `run' with the matter effect parameter $a=2\sqrt{2}G_F N_e E$,…

High Energy Physics - Phenomenology · Physics 2014-09-29 Sanjib Kumar Agarwalla , Yee Kao , Tatsu Takeuchi

One way of recovering information about the initial conditions of the Universe is by measuring features of the cosmological density field which are preserved during gravitational evolution and galaxy formation. In this paper we study the…

Astrophysics · Physics 2016-08-30 Rupert A. C. Croft , Enrique Gaztanaga

Upcoming surveys of cosmic structures will probe scales close to the cosmological horizon, which opens up new opportunities for testing the cosmological concordance model to high accuracy. In particular, constraints on the squeezed…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-28 Thomas Montandon , Julian Adamek , Oliver Hahn , Jorge Noreña , Cornelius Rampf , Clément Stahl , Bartjan van Tent

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

The power spectrum has long been the workhorse summary statistics for large-scale structure cosmological analyses. However, gravitational non-linear evolution moves precious cosmological information from the two-point statistics (such as…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-04 Davide Gualdi , Sergi Novell-Masot , Héctor Gil-Marín , Licia Verde

Mathematical models for the stochastic evolution of wave functions that combine the unitary evolution according to the Schroedinger equation and the collapse postulate of quantum theory are well understood for non-relativistic quantum…

We propose an alternative formulation of Many-Body Perturbation Theory that uses the density-functional concept. Instead of the usual four-point integral equation for the polarizability, we obtain a two-point one, that leads to excellent…

Other Condensed Matter · Physics 2010-07-01 Fabien Bruneval , Francesco Sottile , Valerio Olevano , Rodolfo Del Sole , Lucia Reining

We revisit the power spectrum analysis of the complete sample of the two degree field (2dF) QSO redshift (2QZ) survey, as a complementary test of the work by Outram et al. (2003). A power spectrum consistent with that of the 2QZ group is…

Astrophysics · Physics 2009-11-10 Kazuhiro Yamamoto

Hamilton et al. (1991) proposed a simple formula relating the nonlinear autocorrelation function of the mass distribution to the primordial spectrum of density fluctuations for gravitational clustering in an $\Omega=1$ universe. High…

Astrophysics · Physics 2016-06-08 B. Jain , H. J. Mo , S. D. M. White

There is a controversy of how to interpret interactions of electrons with a large spatial coherence with light and matter. When such an electron emits a photon, it can do so either as if its charge were confined to a point within a…

Quantum Physics · Physics 2021-02-09 D. V. Karlovets , A. M. Pupasov-Maksimov

How can we analyze quantum correlations in large and noisy systems without quantum state tomography? An established method is to measure total angular momenta and employ the so-called spin-squeezing inequalities based on their expectations…

Quantum Physics · Physics 2024-08-23 Jan Lennart Bönsel , Satoya Imai , Ye-Chao Liu , Otfried Gühne

We investigate the nonlinear evolution of structure in variants of the standard cosmological model which display damped density fluctuations relative to cold dark matter (e.g. in which cold dark matter is replaced by warm or interacting…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-03 Matteo Leo , Carlton M. Baugh , Baojiu Li , Silvia Pascoli

A phenomenological power spectrum of primordial density perturbations has been constructed by using both COBE data to probe the large wavelength region, and a double power law, locally deduced from galaxy catalogs, which describes the…

Astrophysics · Physics 2008-02-03 S. Torres , R. Fabbri , R. Ruffini

We report a measurement of the real space (not redshift space) power spectrum of galaxies over four and a half decades of wavenumber, 0.01 to 300 h/Mpc, from the IRAS Point Source Catalog Redshift Survey (PSCz). Since estimates of power are…

Astrophysics · Physics 2009-10-07 Andrew J. S. Hamilton , Max Tegmark

This paper studies convergence of empirical measures smoothed by a Gaussian kernel. Specifically, consider approximating $P\ast\mathcal{N}_\sigma$, for $\mathcal{N}_\sigma\triangleq\mathcal{N}(0,\sigma^2 \mathrm{I}_d)$, by…

Statistics Theory · Mathematics 2020-05-04 Ziv Goldfeld , Kristjan Greenewald , Yury Polyanskiy , Jonathan Weed

Nonlinear effects are crucial in order to compute the cosmological matter power spectrum to the accuracy required by future generation surveys. Here, a new approach is presented, in which the power spectrum, the bispectrum and higher order…

Astrophysics · Physics 2009-11-13 Massimo Pietroni
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