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In this paper, we investigate the impact of higher-order distortions on the precise measurement of weak gravitational lensing shear and flexion. We begin by defining generalized higher-order distortions and outlining methods for measuring…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-01 Yuki Okura , Toshifumi Futamase

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 the size of images with a similar magnitude to the distortion due to shear. Galaxy size probes the convergence field, and shape the shear field, both of which contain cosmological information. We show the gains expected…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Alan Heavens , Justin Alsing , Andrew Jaffe

The principles of measuring the shapes of galaxies by a model-fitting approach are discussed in the context of shape-measurement for surveys of weak gravitational lensing. It is argued that such an approach should be optimal, allowing…

Astrophysics · Physics 2009-11-13 L. Miller , T. D. Kitching , C. Heymans , A. F. Heavens , L. Van Waerbeke

Sample selection is a necessary preparation for weak lensing measurement. It is well-known that selection itself may introduce bias in the measured shear signal. Using image simulation and the Fourier_Quad shear measurement pipeline, we…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-04 Hekun Li , Jun Zhang , Dezi Liu , Wentao Luo , Jiajun Zhang , Fuyu Dong , Zhi Shen , Haoran Wang

Mass determinations from gravitational lensing shear and the higher order estimator flexion are both subject to the mass sheet degeneracy. Mass sheet degeneracy refers to a transformation that leaves the reduced shear and flexion invariant.…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Markus Rexroth , Priyamvada Natarajan , Jean-Paul Kneib

To accomplish correct Bayesian inference from weak lensing shear data requires a complete statistical description of the data. The natural framework to do this is a Bayesian Hierarchical Model, which divides the chain of reasoning into…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-18 Alan Heavens , Justin Alsing , Andrew Jaffe , Till Hoffmann , Alina Kiessling , Benjamin Wandelt

We present new measurements of dark matter distributions in 25 X-ray luminous clusters by making a full use of the two-dimensional (2D) weak lensing signals obtained from high-quality Subaru/Suprime-Cam imaging data. Our approach to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Masamune Oguri , Masahiro Takada , Nobuhiro Okabe , Graham P. Smith

We present a framework for analyzing weak gravitational lensing survey data, including lensing and source-density observables, plus spectroscopic redshift calibration data. All two-point observables are predicted in terms of parameters of a…

Astrophysics · Physics 2014-11-18 Gary M. Bernstein

We describe and test the pipeline used to measure the weak lensing shear signal from the Kilo Degree Survey (KiDS). It includes a novel method of `self-calibration' that partially corrects for the effect of noise bias. We also discuss the…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-12 Ian Fenech Conti , Ricardo Herbonnet , Henk Hoekstra , Julian Merten , Lance Miller , Massimo Viola

Data from the Euclid space telescope will enable cosmic shear measurements with very small statistical errors, requiring corresponding systematic error control level. A common approach to correct for shear biases involves calibrating shape…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-16 Euclid Collaboration , D. Scognamiglio , T. Schrabback , M. Tewes , B. Gillis , H. Hoekstra , E. M. Huff , O. Marggraf , T. Kitching , R. Massey , I. Tereno , C. S. Carvalho , A. Robertson , G. Congedo , N. Aghanim , B. Altieri , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Cropper , A. Da Silva , H. Degaudenzi , G. De Lucia , A. M. Di Giorgio , J. Dinis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , S. Galeotta , C. Giocoli , P. Gómez-Alvarez , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , E. Maiorano , O. Mansutti , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , G. Meylan , M. Moresco , L. Moscardini , R. Nakajima , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , R. Scaramella , M. Schirmer , P. Schneider , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , J. Skottfelt , L. Stanco , J. -L. Starck , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , H. I. Teplitz , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , M. Wetzstein , G. Zamorani , E. Zucca , A. Biviano , M. Bolzonella , A. Boucaud , E. Bozzo , C. Burigana , M. Calabrese , J. A. Escartin Vigo , J. Gracia-Carpio , N. Mauri , A. Pezzotta , M. Pöntinen , C. Porciani , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , V. Allevato , S. Anselmi , M. Ballardini , L. Blot , S. Borgani , S. Bruton , R. Cabanac , A. Calabro , A. Cappi , T. Castro , K. C. Chambers , S. Contarini , A. R. Cooray , S. Davini , B. De Caro , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , H. Dole , S. Escoffier , A. G. Ferrari , I. Ferrero , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , A. Hall , S. Hemmati , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , J. J. E. Kajava , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , J. Le Graet , L. Legrand , A. Loureiro , J. Macias-Perez , G. Maggio , M. Magliocchetti , F. Mannucci , R. Maoli , C. J. A. P. Martins , S. Matthew , L. Maurin , R. B. Metcalf , P. Monaco , C. Moretti , G. Morgante , Nicholas A. Walton , L. Patrizii , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , R. P. Rollins , M. Sahlén , A. Schneider , M. Sereno , P. Simon , A. Spurio Mancini , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , C. Valieri , J. Valiviita , D. Vergani , G. Verza

We explore the use of the tangential component of weak lensing shear to characterize the ellipticity of clusters of galaxies. We introduce an ellipticity estimator, and quantify its properties for isolated clusters from LCDM N-body…

Astrophysics · Physics 2009-11-13 A. E. Schulz , Joseph Hennawi , Martin White

Here we present a number of improvements to weak lensing 3D power spectrum analysis, 3D cosmic shear, that uses the shape and redshift information of every galaxy to constrain cosmological parameters. We show how photometric redshift…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 T. D. Kitching , A. F. Heavens , L. Miller

We study the accuracy with which weak lensing measurements could be made from a future space-based survey, predicting the subsequent precisions of 3-dimensional dark matter maps, projected 2-dimensional dark matter maps, and mass-selected…

Weak gravitational lensing seeks to determine shear by measuring induced quadrupole (elliptical) shapes in background galaxy images. Small impact parameter (a few kpc) gravitational lensing by foreground core masses between 2 10^{9} and 2…

Astrophysics · Physics 2014-10-13 John Irwin , Marina Shmakova

Using overlapping fields with space-based Hubble Space Telescope (HST) and ground-based Subaru Telescope imaging we identify a population of blended galaxies that are blended to such a large degree that they are detected as single objects…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-15 William A. Dawson , Michael D. Schneider , J. Anthony Tyson , M. James Jee

The complete 10-year survey from the Large Synoptic Survey Telescope (LSST) will image $\sim$ 20,000 square degrees of sky in six filter bands every few nights, bringing the final survey depth to $r\sim27.5$, with over 4 billion well…

Gravitational lensing shear has the potential to be the most powerful tool for constraining the nature of dark energy. However, accurate measurement of galaxy shear is crucial and has been shown to be non-trivial by the Shear TEsting…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 L. M. Voigt , S. L. Bridle

We present the first detection of a cluster lensing signal with `Kinematic Lensing' (KL), a novel weak lensing method that combines photometry, spectroscopy, and the Tully-Fisher relation to enable shear measurements with individual source…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-28 Pranjal R. S. , Eric Huff , Elisabeth Krause , Tim Eifler , Spencer Everett , Yu-Hsiu Huang , Jiachuan Xu

The possibility of detecting weak lensing effects from deep wide field imaging surveys has open new means of probing the large-scale structures of the Universe and measuring cosmological parameters. In this paper we present a systematic…

Astrophysics · Physics 2010-04-06 F. Bernardeau , L. van Waerbeke , Y. Mellier
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