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Accurate covariance matrices for two-point functions are critical for inferring cosmological parameters in likelihood analyses of large-scale structure surveys. Among various approaches to obtaining the covariance, analytic computation is…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-23 Xiao Fang , Tim Eifler , Elisabeth Krause

Modelling of the weak lensing of the CMB will be crucial to obtain correct cosmological parameter constraints from forthcoming precision CMB anisotropy observations. The lensing affects the power spectrum as well as inducing…

Astrophysics · Physics 2010-11-17 Antony Lewis

Forthcoming cosmic shear surveys will make precise measurements of the matter density field down to very small scales, scales which are dominated by baryon feedback. The modelling of baryon feedback is crucial to ensure unbiased…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-10 Alessandro Maraio , Alex Hall , Andy Taylor

The statistics of shear peaks have been shown to provide valuable cosmological information beyond the power spectrum, and will be an important constraint of models of cosmology with the large survey areas provided by forthcoming…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 Deborah Bard , Jan M. Kratochvil , William Dawson

Weak lensing by large scale structure induces correlated ellipticities in the images of distant galaxies. The two-point correlation is determined by the matter power spectrum along the line of sight. We use the fully nonlinear evolution of…

Astrophysics · Physics 2009-10-28 Bhuvnesh Jain , Uros Seljak

[Abridged] We seek approximations to the cosmic shear covariance that are as easy to use as the common approximations based on normal statistics, but yield more accurate covariance matrices and parameter errors. We derive expressions for…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Stefan Hilbert , Jan Hartlap , Peter Schneider

We give an analytical form for the weighted correlation function of peaks in a Gaussian random field. In a cosmological context, this approach strictly describes the formation bias and is the main result here. Nevertheless, we show its…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-24 Licia Verde , Raul Jimenez , Fergus Simpson , Luis Alvarez-Gaume , Alan Heavens , Sabino Matarrese

In these lectures I cover a number of topics in cosmological data analysis. I concentrate on general techniques which are common in cosmology, or techniques which have been developed in a cosmological context. In fact they have very general…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-08 Alan Heavens

We present a Simulation-Based Inference (SBI) framework for cosmological parameter estimation via void lensing analysis. Despite the absence of an analytical model of void lensing, SBI can effectively learn posterior distributions through…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-09 Chen Su , Huanyuan Shan , Cheng Zhao , Wenshuo Xu , Jiajun Zhang

Baryonic effects on large-scale structure, if not accounted for, can significantly bias dark energy constraints. As the detailed physics of the baryons is not yet well-understood, correcting for baryon effects introduces additional…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-01 David Copeland , Andy Taylor , Alex Hall

We forecast the benefits induced by adding the bispectrum anisotropic signal to the standard, two- and three-point, clustering statistics analysis. In particular, we forecast cosmological parameter constraints including the bispectrum…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-22 Davide Gualdi , Licia Verde

We present here the cosmo-SLICS, a new suite of simulations specially designed for the analysis of current and upcoming weak lensing data beyond the standard two-point cosmic shear. We sample the $[\Omega_{\rm m}, \sigma_8, h, w_0]$…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-20 Joachim Harnois-Deraps , Benjamin Giblin , Benjamin Joachimi

Sky masking is unavoidable in wide-field weak lensing observations. We study how masks affect the measurement of statistics of matter distribution probed by weak gravitational lensing. We first use 1000 cosmological ray-tracing simulations…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Masato Shirasaki , Naoki Yoshida , Takashi Hamana

We present a numerically cheap approximation to super-sample covariance (SSC) of large scale structure cosmological probes, first in the case of angular power spectra. It necessitates no new elements besides those used for the prediction of…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-17 Fabien Lacasa , Julien Grain

This paper tackles the problem of robust covariance matrix estimation when the data is incomplete. Classical statistical estimation methodologies are usually built upon the Gaussian assumption, whereas existing robust estimation ones assume…

It is well known that the power spectrum is not able to fully characterize the statistical properties of non-Gaussian density fields. Recently, many different statistics have been proposed to extract information from non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-11 Core Francisco Park , Erwan Allys , Francisco Villaescusa-Navarro , Douglas P. Finkbeiner

In this paper, we analyze in detail with numerical simulations how the mask effect can influence the weak lensing peak statistics reconstructed from the shear measurement of background galaxies. It is found that high peak fractions are…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Xiangkun Liu , Qiao Wang , Chuzhong Pan , Zuhui Fan

Measurement of Cosmic Microwave Background (CMB) anisotropies has been playing a lead role in precision cosmology by providing some of the tightest constrains on cosmological models and parameters. However, precision can only be meaningful…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-16 Santanu Das , Sanjit Mitra , Sonu Tabitha Paulson

We present a method for fast evaluation of the covariance matrix for a two-point galaxy correlation function (2PCF) measured with the Landy-Szalay estimator. The standard way of evaluating the covariance matrix consists in running the…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 E. Keihanen , V. Lindholm , P. Monaco , L. Blot , C. Carbone , K. Kiiveri , A. G. Sánchez , A. Viitanen , J. Valiviita , A. Amara , N. Auricchio , M. Baldi , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , J. Carretero , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , L. Conversi , Y. Copin , L. Corcione , M. Cropper , A. Da Silva , H. Degaudenzi , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , A. Ealet , S. Farrens , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , H. Hoekstra , W. Holmes , F. Hormuth , K. Jahnke , M. Kümmel , S. Kermiche , A. Kiessling , T. Kitching , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , F. Marulli , R. Massey , M. Melchior , M. Meneghetti , G. Meylan , M. Moresco , B. Morin , L. Moscardini , E. Munari , S. M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. Popa , F. Raison , A. Renzi , J. Rhodes , E. Romelli , R. Saglia , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , C. Sirignano , G. Sirri , L. Stanco , C. Surace , P. Tallada-Crespí , D. Tavagnacco , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , S. Andreon , D. Maino , S. de la Torre

NonGaussian cosmic shear statistics based on weak-lensing aperture mass ($M_{\rm ap}$) maps can outperform the classical shear two-point correlation function ($\gamma$-2PCF) in terms of cosmological constraining power. However, reaching the…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-28 Nicolas Martinet , Tiago Castro , Joachim Harnois-Déraps , Eric Jullo , Carlo Giocoli , Klaus Dolag
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