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We review the methodology for measurements of two point functions of the cosmological observables, both power spectra and correlation functions. For pseudo-$C_\ell$ estimators, we will argue that the window weighted overdensity field can…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-27 Sukhdeep Singh

A known problem in cosmic shear two-point statistics is the apparent inconsistency between analyses performed in harmonic space (power spectrum) and real space (angular correlation). This arises mainly from two factors: first, scale cuts in…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 João Ferri , Elisa G. M. Ferreira , Ryo Terasawa

We derive in this paper expressions for the covariance matrix of the cosmic shear two-point correlation functions which are readily applied to any survey geometry. Furthermore, we consider the more special case of a simple survey geometry…

Astrophysics · Physics 2009-11-07 Peter Schneider , Ludovic van Waerbeke , Martin Kilbinger , Yannick Mellier

We perform a cosmic shear analysis in harmonic space using the first year of data collected by the Dark Energy Survey (DES-Y1). We measure the cosmic weak lensing shear power spectra using the Metacalibration catalogue and perform a…

We present simulations of a cosmic shear survey and show how the survey geometry influences the accuracy of determination of cosmological parameters. We numerically calculate the full covariance matrices Cov of two-point statistics of…

Astrophysics · Physics 2009-11-10 Martin Kilbinger , Peter Schneider

Cosmic shear is a powerful probe of cosmological distances, matter abundance and clustering in the low-redshift Universe. Cosmological parameter extraction from cosmic shear data is limited by our understanding of baryonic astrophysics,…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-31 Shi-Fan Chen , Joseph DeRose , Mikhail M. Ivanov , Oliver H. E. Philcox

We present cosmological constraints from the analysis of angular power spectra of cosmic shear maps based on data from the first three years of observations by the Dark Energy Survey (DES Y3). Our measurements are based on the…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-20 C. Doux , B. Jain , D. Zeurcher , J. Lee , X. Fang , R. Rosenfeld , A. Amon , H. Camacho , A. Choi , L. F. Secco , J. Blazek , C. Chang , M. Gatti , E. Gaztanaga , N. Jeffrey , M. Raveri , S. Samuroff , A. Alarcon , O. Alves , F. Andrade-Oliveira , E. Baxter , K. Bechtol , M. R. Becker , G. M. Bernstein , A. Campos , A. Carnero Rosell , M. Carrasco Kind , R. Cawthon , R. Chen , J. Cordero , M. Crocce , C. Davis , J. DeRose , S. Dodelson , A. Drlica-Wagner , K. Eckert , T. F. Eifler , F. Elsner , J. Elvin-Poole , S. Everett , A. Ferté , P. Fosalba , O. Friedrich , G. Giannini , D. Gruen , R. A. Gruendl , I. Harrison , W. G. Hartley , K. Herner , H. Huang , E. M. Huff , D. Huterer , M. Jarvis , E. Krause , N. Kuropatkin , P. -F. Leget , P. Lemos , A. R. Liddle , N. MacCrann , J. McCullough , J. Muir , J. Myles , A. Navarro-Alsina , S. Pandey , Y. Park , A. Porredon , J. Prat , M. Rodriguez-Monroy , R. P. Rollins , A. Roodman , A. J. Ross , E. S. Rykoff , C. Sánchez , J. Sanchez , I. Sevilla-Noarbe , E. Sheldon , T. Shin , A. Troja , M. A. Troxel , I. Tutusaus , T. N. Varga , N. Weaverdyck , R. H. Wechsler , B. Yanny , B. Yin , Y. Zhang , J. Zuntz , T. M. C. Abbott , M. Aguena , S. Allam , J. Annis , D. Bacon , E. Bertin , S. Bocquet , D. Brooks , D. L. Burke , J. Carretero , M. Costanzi , L. N. da Costa , M. E. S. Pereira , J. De Vicente , S. Desai , H. T. Diehl , P. Doel , I. Ferrero , B. Flaugher , J. Frieman , J. García-Bellido , D. W. Gerdes , T. Giannantonio , J. Gschwend , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , D. J. James , A. G. Kim , K. Kuehn , O. Lahav , J. L. Marshall , F. Menanteau , R. Miquel , R. Morgan , R. L. C. Ogando , A. Palmese , F. Paz-Chinchón , A. Pieres , K. Reil , E. Sanchez , V. Scarpine , S. Serrano , M. Smith , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To , J. Weller

We constrain cosmological parameters from a joint cosmic shear analysis of peak-counts and the two-point shear correlation functions, as measured from the Dark Energy Survey (DES-Y1). We find the structure growth parameter $S_8\equiv…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Joachim Harnois-Déraps , Nicolas Martinet , Tiago Castro , Klaus Dolag , Benjamin Giblin , Catherine Heymans , Hendrik Hildebrandt , Qianli Xia

Constraints on cosmology from recent cosmic shear observations are becoming increasingly sophisticated in their treatment of potential systematic effects. Here we present cosmological constraints which include modelling of intrinsic…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Donnacha Kirk , Sarah Bridle , Michael Schneider

Cosmic shear leads to a correlation of the observed ellipticities of galaxies, an effect which is used to place constraints on cosmological parameters, and to explore the evolution of dark matter and dark energy in the universe. However, a…

Astrophysics · Physics 2009-11-11 Lindsay King

The Ultraviolet Near Infrared Optical Northern Survey (UNIONS) is a photometric survey in the northern sky. The quality of the data in the $r$ band provides precise shape measurements to measure the growth of structures using cosmic shear.…

Statistical weak lensing by large-scale structure -- cosmic shear -- is a promising cosmological tool, which has motivated the design of several large upcoming surveys. Here, we present a measurement of cosmic shear using coadded Sloan…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-15 Eric M. Huff , Tim Eifler , Christopher M. Hirata , Rachel Mandelbaum , David Schlegel , Uros Seljak

Cosmic shear is a powerful method to constrain cosmology, provided that any systematic effects are under control. The intrinsic alignment of galaxies is expected to severely bias parameter estimates if not taken into account. We explore the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 B. Joachimi , S. L. Bridle

We perform a cosmic shear analysis of HSC survey first-year data (HSC-Y1) using Complete Orthogonal Sets of E/B-Integrals (COSEBIs) to derive cosmological constraints. We compute E/B-mode COSEBIs from cosmic shear two-point correlation…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-18 Takashi Hamana , Chiaki Hikage , Masamune Oguri , Masato Shirasaki , Surhud More

Accurate estimation of the covariance matrix of cosmic shear statistics is essential for cosmological analyses using current and upcoming wide-area weak lensing surveys. In this work, we investigate analytical methods for computing the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-18 Kosuke Nagura , Ryo Terasawa , Taisei Terawaki , Masahiro Takada

With the advent of large-scale weak lensing surveys there is a need to understand how realistic, scale-dependent systematics bias cosmic shear and dark energy measurements, and how they can be removed. Here we describe how spatial…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-31 A. N. Taylor , T. D. Kitching

Weak lensing by large-scale structure provides a direct measurement of matter fluctuations in the universe. We report a measurement of this `cosmic shear' based on 271 WFPC2 archival images from the Hubble Space Telescope Medium Deep Survey…

Astrophysics · Physics 2009-06-16 A. Refregier , J. Rhodes , E. J. Groth

Cosmic shear measurements rely on our ability to measure and correct the Point Spread Function (PSF) of the observations. This PSF is measured using stars in the field, which give a noisy measure at random points in the field. Using Wiener…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 A. Amara , A. Refregier , S. Paulin-Henriksson
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