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We derive expressions, in terms of "polar shapelets", for the image distortion operations associated with weak gravitational lensing. Shear causes galaxy shapes to become elongated, and is sensitive to the second derivative of the projected…

Astrophysics · Physics 2008-11-26 Richard Massey , Barnaby Rowe , Alexandre Refregier , David J. Bacon , Joel Berge

We present a new shear estimator for weak lensing observations which properly accounts for the effects of a realistic point spread function (PSF). Images of faint galaxies are subject to gravitational shearing followed by smearing with the…

Astrophysics · Physics 2009-10-31 Nick Kaiser

A noise-based non-parametric technique for detecting nebulous objects, for example, irregular or clumpy galaxies, and their structure in noise is introduced. "Noise-based" and "non-parametric" imply that this technique imposes negligible…

Instrumentation and Methods for Astrophysics · Physics 2015-09-08 Mohammad Akhlaghi , Takashi Ichikawa

We report a detection of the coherent distortion of faint galaxies arising from gravitational lensing by foreground structures. This ``cosmic shear'' is potentially the most direct measure of the mass power spectrum, as it is unaffected by…

Astrophysics · Physics 2011-05-05 David Bacon , Alexandre Refregier , Richard Ellis

We investigate the problem of noise bias in maximum likelihood and maximum a posteriori estimators for cosmic shear. We derive the leading and next-to-leading order biases and compute them in the context of galaxy ellipticity measurements,…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-23 Alex Hall , Andy Taylor

Gravitational lensing can provide pure geometric tests of the structure of space-time, for instance by determining empirically the angular diameter distance-redshift relation. This geometric test has been demonstrated several times using…

Combined survey analyses of galaxy clustering and weak gravitational lensing (3x2-pt studies) will allow new and accurate tests of the standard cosmological model. However, careful validation is necessary to ensure that these cosmological…

We develop a method for performing a weak lensing analysis using only measurements of galaxy position angles. By analysing the statistical properties of the galaxy orientations given a known intrinsic ellipticity distribution, we show that…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Lee Whittaker , Michael L. Brown , Richard Battye

Gravitational lensing offers a competitive method to measure $H_0$ with the goal of 1% precision. A major obstacle comes in the form of lensing degeneracies, such as the mass sheet degeneracy (MSD), which make it possible for a family of…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-01 Matthew R. Gomer , Liliya L. R. Williams

We propose a new technique to directly measure the shapes of dark matter halos of galaxies using weak gravitational lensing. Extending the standard galaxy-galaxy lensing method, we show that the shape parameters of the mass distribution of…

Astrophysics · Physics 2009-10-31 Priyamvada Natarajan , Alexandre Refregier

Weak lensing alters galaxy sizes and fluxes, influencing the clustering patterns of galaxies through cosmic magnification. This effect enables the reconstruction of weak lensing convergence $\hat{\kappa}$ maps for DES and DECaLS by linearly…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-23 Jian Qin , Pengjie Zhang , Zhu Chen , Liping Fu , Yu Yu , Haojie Xu , Ji Yao , Yuan Shi , Huanyuan Shan

Weak gravitational lensing is one of the most important probes of the nature of dark matter and dark energy. In order to extract cosmological information from next-generation weak lensing surveys (e.g., Euclid, Roman, LSST, and CSST) as…

We present new tests to identify stationary position-dependent additive shear biases in weak gravitational lensing data sets. These tests are important diagnostics for currently ongoing and planned cosmic shear surveys, as such biases…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-24 Edo van Uitert , Peter Schneider

We present an end-to-end methodology to measure the effects of weak lensing on individual galaxy-galaxy systems exploiting their kinematic information. Using this methodology, we have measured a shear signal from the velocity fields of 18…

Astrophysics of Galaxies · Physics 2020-09-22 Pol Gurri , Edward N. Taylor , Christopher J. Fluke

Recent cosmological analyses with large-scale structure and weak lensing measurements, usually referred to as 3$\times$2pt, had to discard a lot of signal-to-noise from small scales due to our inability to accurately model non-linearities…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 J. Prat , G. Zacharegkas , Y. Park , N. MacCrann , E. R. Switzer , S. Pandey , C. Chang , J. Blazek , R. Miquel , A. Alarcon , O. Alves , A. Amon , F. Andrade-Oliveira , K. Bechtol , M. R. Becker , G. M. Bernstein , R. Chen , A. Choi , H. Camacho , A. Campos , A. Carnero Rosell , M. Carrasco Kind , R. Cawthon , J. Cordero , M. Crocce , C. Davis , J. DeRose , H. T. Diehl , S. Dodelson , C. Doux , A. Drlica-Wagner , K. Eckert , T. F. Eifler , J. Elvin-Poole , S. Everett , X. Fang , A. Ferté , P. Fosalba , O. Friedrich , M. Gatti , G. Giannini , D. Gruen , R. A. Gruendl , I. Harrison , W. G. Hartley , K. Herner , H. Huang , E. M. Huff , M. Jarvis , E. Krause , N. Kuropatkin , P. -F. Leget , J. McCullough , J. Myles , A. Navarro-Alsina , A. Porredon , M. Raveri , R. P. Rollins , A. Roodman , R. Rosenfeld , A. J. Ross , E. S. Rykoff , C. Sánchez , J. Sanchez , L. F. Secco , I. Sevilla-Noarbe , E. Sheldon , T. Shin , M. A. Troxel , I. Tutusaus , T. N. Varga , B. Yanny , B. Yin , Y. Zhang , J. Zuntz , M. Aguena , S. Allam , J. Annis , D. Bacon , E. Bertin , S. Bocquet , D. Brooks , D. L. Burke , J. Carretero , M. Costanzi , M. E. S. Pereira , J. De Vicente , S. Desai , I. Ferrero , B. Flaugher , D. W. Gerdes , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , D. J. James , M. Lima , F. Menanteau , J. Mena-Fernández , A. Palmese , M. Paterno , F. Paz-Chinchón , A. Pieres , A. A. Plazas Malagón , M. Rodriguez-Monroy , E. Sanchez , M. Schubnell , M. Smith , M. Soares-Santos , E. Suchyta , M. E. C. Swanson , G. Tarle , C. To , N. Weaverdyck , J. Weller

Images acquired with a telescope are blurred and corrupted by noise. The blurring is usually modeled by a convolution with the Point Spread Function and the noise by Additive Gaussian Noise. Recovering the observed image is an ill-posed…

Instrumentation and Methods for Astrophysics · Physics 2021-11-03 Fadi Nammour , Morgan A. Schmitz , Fred Maurice Ngolè Mboula , Jean-Luc Starck , Julien N. Girard

We present the Dark Energy Camera All Data Everywhere (DECADE) weak lensing dataset: a catalog of 107 million galaxies observed by the Dark Energy Camera (DECam) in the northern Galactic cap. This catalog was assembled from public DECam…

Precise cosmological inference from next-generation weak lensing surveys requires extracting non-Gaussian information beyond standard two-point statistics. We present a hybrid machine-learning (ML) framework that integrates field-level…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Jiacheng Ding , Chen Su , Ji Yao , Le Zhang , Huanyuan Shan

We investigate how discontinuities in the point spread function (PSF) and image noise affect weak gravitational lensing shear measurements. Our focus is on discontinuities that arise in coadded images, particularly when edges from input…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Erin Sheldon

The magnification of galaxies in modern galaxy surveys induces additional correlations in the cosmic shear, galaxy-galaxy lensing and clustering observables used in modern lensing "3x2pt" analyses, due to sample selection. In this paper, we…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Christopher A. J. Duncan , Joachim Harnois-Déraps , Lance Miller