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An accurate covariance matrix is essential for obtaining reliable cosmological results when using a Gaussian likelihood. In this paper we study the covariance of pseudo-$C_\ell$ estimates of tomographic cosmic shear power spectra. Using two…

Upcoming cosmic microwave background (CMB) lensing measurements and tomographic galaxy surveys are expected to provide us with high-precision data sets in the coming years, thus paving the way for fruitful cross-correlation analyses. In…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-27 Priyesh Chakraborty , Shu-Fan Chen , Cora Dvorkin

We propose a novel squeezed light source capable of meeting the stringent requirements of continuous variable quantum sampling. Using the effective $\chi_2$ interaction induced by a strong driving beam in the presence of the $\chi_3$…

Quantum Physics · Physics 2019-12-18 Z. Vernon , N. Quesada , M. Liscidini , B. Morrison , M. Menotti , K. Tan , J. E. Sipe

To test the primordial power spectra predicted by a double inflationary model with a break of amplitude $\Delta=3$ at a scale of $2\pi/k\approx 10 \hm$ and CDM as dominant matter content, we perform PM simulations with 128$^3$ particles on…

Astrophysics · Physics 2010-11-30 L. Amendola , S. Gottloeber , J. P. Muecket , V. Mueller

The disconnected part of the power spectrum covariance matrix (also known as the "Gaussian" covariance) is the dominant contribution on large scales for galaxy clustering and weak lensing datasets. The presence of a complicated sky mask…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-02 Carlos García-García , David Alonso , Emilio Bellini

Over the next decade, improvements in cosmological parameter constraints will be driven by surveys of large-scale structure. Its inherent non-linearity suggests that significant information will be embedded in higher correlations beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Joyce Byun , Alexander Eggemeier , Donough Regan , David Seery , Robert E. Smith

We calculate the Cosmic Microwave Background anisotropy bispectrum on large angular scales in the absence of primordial non-Gaussianities, assuming exact matter dominance and extending at second order the classic Sachs-Wolfe result \delta…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-16 Lotfi Boubekeur , Paolo Creminelli , Guido D'Amico , Jorge Noreña , Filippo Vernizzi

We describe an approximate statistical model for the sample variance distribution of the non-linear matter power spectrum that can be calibrated from limited numbers of simulations. Our model retains the common assumption of a multivariate…

Continuous wavelet analysis has been increasingly employed in various fields of science and engineering due to its remarkable ability to maintain optimal resolution in both space and scale. Here, we introduce wavelet-based statistics,…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-29 Yun Wang , Hua-Yu Yang , Ping He

We present a study on the robustness of the covariance matrix estimation for galaxy clustering measurements depending on the cosmological parameters and galaxy bias. To this end, we have produced 9000 galaxy mock catalogues relying on the…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-22 Falk Baumgarten , Chia-Hsun Chuang

The prevalence of spatially referenced multivariate data has impelled researchers to develop a procedure for the joint modeling of multiple spatial processes. This ordinarily involves modeling marginal and cross-process dependence for any…

Methodology · Statistics 2020-07-10 Ghulam A. Qadir , Ying Sun

A large-scale temperature perturbation has a non-zero correlation with the power spectrum of B-modes of cosmological origin on short scales while the corresponding correlation is expected to be zero for B-modes sourced by galactic…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 A. Kehagias , A. Moradinezhad-Dizgah , J. Noreña , H. Perrier , A. Riotto

We find statistically significant correlations in the cosmological matter power spectrum over the full range of observable scales. While the correlations between individual modes are weak, the band-averaged power spectrum shows strong…

Astrophysics · Physics 2009-10-31 A. Meiksin , Martin White

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

Weak gravitational lensing is a powerful probe of cosmology, with second-order shear statistics commonly used to constrain parameters such as the matter density $\Omega_\mathrm{m}$ and the clustering amplitude $S_8$. However, parameter…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-26 Niek Wielders , Laila Linke , Pierre A. Burger , Sven Heydenreich , Lucas Porth , Peter Schneider

We study theoretically the squeezing spectrum and second-order correlation function of the output light for an optomechanical system in which a mechanical oscillator modulates the cavity linewidth (dissipative coupling). We find strong…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Dainius Kilda , Andreas Nunnenkamp

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

We measure power spectrum response functions in the presence of baryonic physical processes using separate universe simulations with the IllustrisTNG galaxy formation model. The response functions describe how the small-scale power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-18 Alexandre Barreira , Dylan Nelson , Annalisa Pillepich , Volker Springel , Fabian Schmidt , Ruediger Pakmor , Lars Hernquist , Mark Vogelsberger

We present a new method, called $x$-cut cosmic shear, which optimally removes sensitivity to poorly modeled scales from the two-point cosmic shear signal. We show that the $x$-cut cosmic shear covariance matrix can be computed from the…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-19 Peter L. Taylor , Francis Bernardeau , Eric Huff

A mixed quantal-semiquantal theory is presented in which the semiquantal squeezed-state wave packet describes the heavy degrees of freedom. We first derive mean-field equations of motion from the time-dependent variational principle. Then,…

Chemical Physics · Physics 2016-02-08 Koji Ando