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We show, using the pseudo-$C_\ell$ technique, how to estimate cosmic shear and galaxy-galaxy lensing power spectra that are insensitive to the effects of multiple sources of lensing bias including source-lens clustering, magnification bias…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-12 Christopher A. J. Duncan , Michael L. Brown

In this paper we investigate the impact that realistic scale-dependence systematic effects may have on cosmic shear tomography. We model spatially varying residual ellipticity and size variations in weak lensing measurements and propagate…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-09 T. D. Kitching , A. N. Taylor , M. Cropper , H. Hoekstra , R. K. E. Hood , R. Massey , S. Niemi

Weak-lensing shear estimates show a troublesome dependence on the apparent brightness of the galaxies used to measure the ellipticity: In several studies, the amplitude of the inferred shear falls sharply with decreasing source…

Instrumentation and Methods for Astrophysics · Physics 2012-11-26 Peter Melchior , Massimo Viola

Weak gravitational lensing is a promising probe of dark matter and dark energy requiring accurate measurement of the shapes of faint, distant galaxies. Such measures are hindered by the finite resolution and pixel scale of typical cameras.…

Astrophysics · Physics 2009-11-13 F. William High , Jason Rhodes , Richard Massey , Richard Ellis

In order to reach the required performance of Stage-III and IV weak lensing surveys, cosmic shear measurements have to rely on external simulations to calibrate residual biases. Over the years, several techniques have been developed to…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-11 G. Congedo , A. N. Taylor

Weak gravitational lensing has the potential to constrain cosmological parameters to high precision. However, as shown by the Shear TEsting Programmes (STEP) and GRavitational lEnsing Accuracy Testing (GREAT) Challenges, measuring galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Tomasz Kacprzak , Joe Zuntz , Barnaby Rowe , Sarah Bridle , Alexandre Refregier , Adam Amara , Lisa Voigt , Michael Hirsch

We qualitatively examine properties of artificial deformation in shapes of objects (galaxies and stars) induced by the pixelization effects (also called as the aliasing effects) using toy mock simulation images. We pay a special attention…

Astrophysics · Physics 2015-05-13 Takashi Hamana , Satoshi Miyazaki

In this paper we show how response function corrections to shear measurements (e.g. as required by Metacalibration) propagate into cosmic shear power spectra. We investigate a 2-sphere pixel (also known as HEALpixel') correction and a…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 T. D. Kitching , N. Tessore , P. L. Taylor

We present the framework for measuring angular power spectra in the Euclid mission. The observables in galaxy surveys, such as galaxy clustering and cosmic shear, are not continuous fields, but discrete sets of data, obtained only at the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-14 Euclid Collaboration , N. Tessore , B. Joachimi , A. Loureiro , A. Hall , G. Cañas-Herrera , I. Tutusaus , N. Jeffrey , K. Naidoo , J. D. McEwen , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , F. Bernardeau , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Cropper , A. Da Silva , H. Degaudenzi , G. De Lucia , J. Dinis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , F. Faustini , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , W. Gillard , B. Gillis , C. Giocoli , P. Gómez-Alvarez , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , H. Hoekstra , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , M. Jhabvala , E. Keihänen , S. Kermiche , A. Kiessling , B. Kubik , M. Kümmel , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , E. Maiorano , O. Mansutti , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , J. J. Mohr , M. Moresco , B. Morin , L. Moscardini , E. Munari , R. Nakajima , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , M. Schirmer , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , M. Seiffert , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , A. Biviano , M. Bolzonella , A. Boucaud , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , F. Finelli , J. Gracia-Carpio , S. Matthew , N. Mauri , A. Pezzotta , M. Pöntinen , V. Scottez , A. Spurio Mancini , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , A. Balaguera-Antolinez , M. Ballardini , D. Benielli , A. Blanchard , L. Blot , H. Böhringer , S. Borgani , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , A. R. Cooray , S. de la Torre , G. Desprez , A. Díaz-Sánchez , S. Di Domizio , H. Dole , S. Escoffier , A. G. Ferrari , P. G. Ferreira , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , W. G. Hartley , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , S. Kruk , F. Lacasa , M. Lattanzi , A. M. C. Le Brun , J. Le Graet , L. Legrand , J. Lesgourgues , T. I. Liaudat , J. Macias-Perez , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , A. Montoro , C. Moretti , G. Morgante , C. Murray , S. Nadathur , Nicholas A. Walton , L. Patrizii , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , R. P. Rollins , M. Sahlén , E. Sarpa , A. Schneider , M. Sereno , P. Simon , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , C. Valieri , J. Valiviita , D. Vergani , G. Verza , P. Vielzeuf , M. L. Brown , E. Sellentin

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

We seek to understand the impact on shape estimators obtained from circular and elliptical shapelet models under two realistic conditions: (a) only a limited number of shapelet modes is available for the model, and (b) the intrinsic…

Instrumentation and Methods for Astrophysics · Physics 2014-07-24 P. Melchior , A. Boehnert , M. Lombardi , M. Bartelmann

This work considers which higher-order effects in modelling the cosmic shear angular power spectra must be taken into account for Euclid. We identify which terms are of concern, and quantify their individual and cumulative impact on…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-10 Euclid Collaboration , A. C. Deshpande , T. Kitching , A. Hall , M. L. Brown , N. Aghanim , L. Amendola , N. Auricchio , M. Baldi , R. Bender , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. P. Candini , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , F. J. Castander , M. Castellano , S. Cavuoti , A. Cimatti , R. Cledassou , G. Congedo , C. J. Conselice , L. Conversi , L. Corcione , F. Courbin , M. Cropper , A. Da Silva , H. Degaudenzi , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Garilli , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , S. V. H. Haugan , H. Hoekstra , W. Holmes , A. Hornstrup , P. Hudelot , K. Jahnke , S. Kermiche , M. Kilbinger , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , F. Marulli , R. Massey , S. Mei , Y. Mellier , M. Meneghetti , G. Meylan , L. Moscardini , S. -M. Niemi , J. W. Nightingale , T. Nutma , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , P. Tallada-Crespi , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , J. Zoubian , S. Andreon , S. Bardelli , A. Boucaud , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , G. Fabbian , M. Farina , J. Gracia-Carpio , E. Keihanen , V. Lindholm , N. Mauri , V. Scottez , M. Tenti , E. Zucca , Y. Akrami , C. Baccigalupi , A. Balaguera-Antolinez , M. Ballardini , F. Bernardeau , A. Biviano , A. Blanchard , A. S. Borlaff , C. Burigana , R. Cabanac , A. Cappi , C. S. Carvalho , S. Casas , G. Castignani , T. Castro , K. C. Chambers , A. R. Cooray , J. Coupon , H. M. Courtois , S. Davini , S. de la Torre , G. De Lucia , G. Desprez , H. Dole , J. A. Escartin , S. Escoffier , I. Ferrero , F. Finelli , J. Garcia-Bellido , K. George , F. Giacomini , G. Gozaliasl , H. Hildebrandt , J. J. E. Kajava , V. Kansal , C. C. Kirkpatrick , L. Legrand , A. Loureiro , J. Macias-Perez , M. Magliocchetti , G. Mainetti , R. Maoli , M. Martinelli , N. Martinet , C. J. A. P. Martins , S. Matthew , L. Maurin , R. B. Metcalf , P. Monaco , G. Morgante , S. Nadathur , A. A. Nucita , L. Patrizii , A. Peel , J. Pollack , V. Popa , C. Porciani , D. Potter , A. Pourtsidou , M. Pontinen , P. Reimberg , A. G. Sanchez , Z. Sakr , A. Schneider , E. Sefusatti , M. Sereno , A. Shulevski , A. Spurio Mancini , J. Steinwagner , R. Teyssier , M. Viel , I. A. Zinchenko

Images taken by space telescopes typically have a superb spatial resolution, but a relatively poor sampling rate due to the finite CCD pixel size. Beyond the Nyquist limit, it becomes uncertain how much the pixelation effect may affect the…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-06 Zhi Shen , Jun Zhang , Hekun Li , Haoran Wang , Chengliang Wei , Guoliang Li , Xiaobo Li , Zhang Ban , Dan Yue

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

In this paper we derive a full expression for the propagation of weak lensing shape measurement biases into cosmic shear power spectra including the effect of missing data. We show using simulations that terms higher than first order in…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-16 T. D. Kitching , A. C. Deshpande , P. L. Taylor

It is commonplace in cosmology to analyze fields projected onto the celestial sphere, and in particular density fields that are defined by a set of points e.g. galaxies. When performing an harmonic-space analysis of such data (e.g. an…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-02 Antón Baleato Lizancos , Martin White

Our aim is to quantify the impact of systematic effects on the inference of cosmological parameters from cosmic shear. We present an end-to-end approach that introduces sources of bias in a modelled weak lensing survey on a galaxy-by-galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-25 Euclid Collaboration , P. Paykari , T. D. Kitching , H. Hoekstra , R. Azzollini , V. F. Cardone , M. Cropper , C. A. J. Duncan , A. Kannawadi , L. Miller , H. Aussel , I. F. Conti , N. Auricchio , M. Baldi , S. Bardelli , A. Biviano , D. Bonino , E. Borsato , E. Bozzo , E. Branchini , S. Brau-Nogue , M. Brescia , J. Brinchmann , C. Burigana , S. Camera , V. Capobianco , C. Carbone , J. Carretero , F. J. Castander , M. Castellano , S. Cavuoti , Y. Charles , R. Cledassou , C. Colodro-Conde , G. Congedo , C. Conselice , L. Conversi , Y. Copin , J. Coupon , H. M. Courtois , A. Da Silva , X. Dupac , G. Fabbian , S. Farrens , P. G. Ferreira , P. Fosalba , N. Fourmanoit , M. Frailis , M. Fumana , S. Galeotta , B. Garilli , W. Gillard , B. R. Gillis , C. Giocoli , J. Gracia-Carpio , F. Grupp , F. Hormuth , S. Ilic , H. Israel , K. Jahnke , E. Keihanen , S. Kermiche , M. Kilbinger , C. C. Kirkpatrick , B. Kubik , M. Kunz , H. Kurki-Suonio , F. Lacasa , R. Laureijs , D. Le Mignant , S. Ligori , P. B. Lilje , I. Lloro , T. Maciaszek , E. Maiorano , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli R. Massey , N. Mauri , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , R. B. Metcalf , M. Moresco , L. Moscardini , E. Munari , C. Neissner , R. C. Nichol , S. Niemi , T. Nutma , C. Padilla , S. Paltani , F. Pasian , V. Pettorino , S. Pires , G. Polenta , A. Pourtsidou , F. Raison , A. Renzi , J. Rhodes , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , A. G. Sánchez , D. Sapone , R. Scaramella , P. Schneider , T. Schrabback , V. Scottez , A. Secroun , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. -L. Starck , F. Sureau , P. Tallada-Crespí , A. Taylor , M. Tenti , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , M. Vannier , T. Vassallo , J. Zoubian , E. Zucca

We investigate various pixelizations of the sky which allow for fast spherical transforms, for implementation in full sky CMB experiments such as Planck and MAP. We study the effect of varying pixel shape and area on the extraction of the…

Astrophysics · Physics 2016-08-30 Robert G. Crittenden , Neil G. Turok

In this paper, aliasing effects are investigated for random fields defined on the d-dimensional sphere and reconstructed from discrete samples. First, we introduce the concept of an aliasing function on the sphere. The aliasing function…

Statistics Theory · Mathematics 2019-11-27 Claudio Durastanti , Tim Patschkowski

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
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