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In this paper we derive a full expression for the propagation of multiplicative and additive shape measurement biases into the cosmic shear power spectrum. In doing so we identify several new terms that are associated with selection…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-16 T. D. Kitching , P. Paykari , H. Hoekstra , M. Cropper

In this paper we revisit potential biases in cosmic shear power spectra caused by bias terms that multiply up to quadratic powers of the shear. Expanding the multiplicative bias field as a series of independent spin-$s$ fields we find terms…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-31 T. D. Kitching , A. C. Deshpande

We develop a Bayesian hierarchical modelling approach for cosmic shear power spectrum inference, jointly sampling from the posterior distribution of the cosmic shear field and its (tomographic) power spectra. Inference of the shear power…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-11 Justin Alsing , Alan Heavens , Andrew H. Jaffe , Alina Kiessling , Benjamin Wandelt , Till Hoffmann

We consider the bias introduced by a spatially-varying multiplicative shear bias (m-bias) on tomographic cosmic shear angular power spectra. To compute the bias in the power spectra, we estimate the mode-coupling matrix associated with an…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-30 Casey Cragg , Christopher A. J. Duncan , Lance Miller , David Alonso

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

Cosmic shear tomography has emerged as one of the most promising tools to both investigate the nature of dark energy and discriminate between General Relativity and modified gravity theories. In order to successfully achieve these goals,…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-05 V. F. Cardone , M. Martinelli , E. Calabrese , S. Galli , Z. Huang , R. Maoli , A. Melchiorri , R. Scaramella

The current methods available to estimate gravitational shear from astronomical images of galaxies introduce systematic errors which can affect the accuracy of weak lensing cosmological constraints. We study the impact of KSB shape…

The standard weak lensing formalism assumes that the lensing map relating the observed image of a source to its intrinsic shape depends only on the deflection angle. We show that this description is incomplete beyond linear perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-26 Matteo Magi , Francesca Lepori , Julian Adamek

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

We computed the power spectrum of weak cosmic shear in models with non-Gaussian primordial density fluctuations. Cosmological initial conditions deviating from Gaussianity have recently attracted much attention in the literature, especially…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 C. Fedeli , L. Moscardini

Residual errors in shear measurements, after corrections for instrument systematics and atmospheric effects, can impact cosmological parameters derived from weak lensing observations. Here we combine convergence maps from our suite of…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-06 Andrea Petri , Morgan May , Zoltan Haiman , Jan M. Kratochvil

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

We develop a pseudo power spectrum technique for measuring the lensing power spectrum from weak lensing surveys in both the full sky and flat sky limits. The power spectrum approaches have a number of advantages over the traditional…

Cosmology and Nongalactic Astrophysics · Physics 2011-04-06 Chiaki Hikage , Masahiro Takada , Takashi Hamana , David Spergel

We present a Bayesian hierarchical modelling approach to infer the cosmic matter density field, and the lensing and the matter power spectra, from cosmic shear data. This method uses a physical model of cosmic structure formation to infer…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Natalia Porqueres , Alan Heavens , Daniel Mortlock , Guilhem Lavaux

Applying a transformation to a non-Gaussian field can enhance the information content of the resulting power spectrum, by reducing the correlations between Fourier modes. In the context of weak gravitational lensing, it has been shown that…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-16 Fergus Simpson , Joachim Harnois-Déraps , Catherine Heymans , Raul Jimenez , Benjamin Joachimi , Licia Verde

We perform a cosmic shear analysis of the COMBO-17 survey -- a unique dataset with shear quality R-band imaging and accurate photometric redshift estimates (dz=0.05) for ~90% of galaxies to R=24.0. We undertake a full maximum likelihood…

Astrophysics · Physics 2008-11-26 M. L. Brown , A. N. Taylor , D. J. Bacon , M. E. Gray , S. Dye , K. Meisenheimer , C. Wolf

We conduct a comprehensive study into the impact of pixelization on cosmic shear, uncovering several sources of bias in standard pseudo-$C_\ell$ estimators based on discrete catalogues. We derive models that can bring residual biases to the…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-04 Alex Hall , Nicolas Tessore

It is usually assumed that the ellipticity power spectrum measured in weak lensing observations can be expressed as an integral over the underlying matter power spectrum. This is true at second order in the gravitational potential. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Elisabeth Krause , Christopher M. Hirata

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

We measure the cosmic shear power spectrum on large angular scales by cross-correlating the shapes of ~9 million galaxies measured in the optical SDSS survey with the shapes of ~2.7x10^5 radio galaxies measured by the overlapping VLA-FIRST…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-27 Constantinos Demetroullas , Michael L. Brown
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