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We compute the angular power spectrum of the $B$-modes of the weak-lensing shear in a spatially anisotropic spacetime. We find that there must also exist off-diagonal correlations between the $E$-modes, $B$-modes, and convergence that allow…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-13 Thiago S. Pereira , Cyril Pitrou , Jean-Philippe Uzan

We explore the stability of the variance and skewness of the cosmic gravitational convergence field, using two different approaches: first we simulate a whole MEGACAM survey (100 sq. degrees). The reconstructed mass map, obtained from a…

Astrophysics · Physics 2007-05-23 A. Thion , Y. Mellier , F. Bernardeau , E. Bertin , T. Erben , L. van Waerbeke

We make a number of comments regarding modeling degeneracies in strong lensing measurements of the Hubble parameter $H_0$. The first point concerns the impact of weak lensing associated with different segments of the line of sight. We show…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-25 Luca Teodori , Kfir Blum , Emanuele Castorina , Marko Simonović , Yotam Soreq

Via the magnification bias, gravitational lensing by large-scale structures causes angular cross-correlations between distant quasars and foreground galaxies on angular scales of arc minutes and above. We investigate the three-point…

Astrophysics · Physics 2007-05-23 Brice Menard , Matthias Bartelmann , Yannick Mellier

Using the first three years of data from the Dark Energy Survey, we use ratios of small-scale galaxy-galaxy lensing measurements around the same lens sample to constrain source redshift uncertainties, intrinsic alignments and other nuisance…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-11 C. Sánchez , J. Prat , G. Zacharegkas , S. Pandey , E. Baxter , G. M. Bernstein , J. Blazek , R. Cawthon , C. Chang , E. Krause , P. Lemos , Y. Park , M. Raveri , J. Sanchez , M. A. Troxel , A. Amon , X. Fang , O. Friedrich , D. Gruen , A. Porredon , L. F. Secco , S. Samuroff , A. Alarcon , O. Alves , F. Andrade-Oliveira , K. Bechtol , M. R. Becker , H. Camacho , A. Campos , A. Carnero Rosell , M. Carrasco Kind , R. Chen , A. Choi , M. Crocce , C. Davis , J. De Vicente , J. DeRose , E. Di Valentino , H. T. Diehl , S. Dodelson , C. Doux , A. Drlica-Wagner , K. Eckert , T. F. Eifler , F. Elsner , J. Elvin-Poole , S. Everett , A. Ferté , P. Fosalba , M. Gatti , G. Giannini , R. A. Gruendl , I. Harrison , W. G. Hartley , K. Herner , E. M. Huff , D. Huterer , M. Jarvis , B. Jain , N. Kuropatkin , P. -F. Leget , N. MacCrann , J. McCullough , J. Muir , J. Myles , A. Navarro-Alsina , R. P. Rollins , A. Roodman , R. Rosenfeld , E. S. Rykoff , I. Sevilla-Noarbe , E. Sheldon , T. Shin , A. Troja , I. Tutusaus , T. N. Varga , R. H. Wechsler , B. Yanny , B. Yin , Y. Zhang , J. Zuntz , T. M. C. Abbott , M. Aguena , S. Allam , D. Bacon , E. Bertin , S. Bhargava , D. Brooks , E. Buckley-Geer , D. L. Burke , J. Carretero , M. Costanzi , L. N. da Costa , M. E. S. Pereira , S. Desai , J. P. Dietrich , P. Doel , A. E. Evrard , I. Ferrero , B. Flaugher , J. Frieman , J. García-Bellido , E. Gaztanaga , D. W. Gerdes , T. Giannantonio , J. Gschwend , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , B. Hoyle , D. J. James , K. Kuehn , O. Lahav , M. Lima , H. Lin , M. A. G. Maia , J. L. Marshall , P. Martini , P. Melchior , F. Menanteau , R. Miquel , J. J. Mohr , R. Morgan , A. Palmese , F. Paz-Chinchón , D. Petravick , A. Pieres , A. A. Plazas Malagón , M. Rodriguez-Monroy , E. Sanchez , V. Scarpine , M. Schubnell , S. Serrano , M. Smith , M. Soares-Santos , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To

We present a model for the intrinsic alignment contamination of the shear three-point correlation function and skewness of the mass aperture statistic using the tidal alignment and tidal torquing (TATT) formalism. We compute the intrinsic…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-15 Rafael C. H. Gomes , Kyle Miller , Sunao Sugiyama , Jonathan Blazek , Thomas Bakx , Bhuvnesh Jain

Despite the assumption that an ideal FLRW observer is not dependent on the local environment, observations are biased by the positions of the observers due to the matter correlations in the large-scale structure (LSS) of the universe. The…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-26 Sonia Akter Ema , Md Rasel Hossen , Krzysztof Bolejko , Geraint F. Lewis

At any given scale, 3$\times$2-point statistics extract only three numbers from the joint distribution of the cosmic matter density and galaxy density fluctuations: their variances and their covariance. It is well known that the full shape…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-07 Oliver Friedrich , Lina Castiblanco , Anik Halder , Cora Uhlemann

Unmeasured spatial confounding complicates exposure effect estimation in environmental health studies. This problem is exacerbated in studies with multiple health outcomes and environmental exposure variables, as the source and magnitude of…

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 lensing can be observed through a number of effects on the images of distant galaxies; their shapes are sheared, their sizes and fluxes (magnitudes) are magnified and their positions on the sky are modified by the lensing field. Galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-12 Justin Alsing , Donnacha Kirk , Alan Heavens , Andrew Jaffe

We derive cosmological constraints from the probability distribution function (PDF) of evolved large-scale matter density fluctuations. We do this by splitting lines of sight by density based on their count of tracer galaxies, and by…

Joint analyses of cross-correlations between measurements of galaxy positions, galaxy lensing, and lensing of the cosmic microwave background (CMB) offer powerful constraints on the large-scale structure of the Universe. In a forthcoming…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-15 Y. Omori , E. J. Baxter , C. Chang , O. Friedrich , A. Alarcon , O. Alves , A. Amon , F. Andrade-Oliveira , K. Bechtol , M. R. Becker , G. M. Bernstein , J. Blazek , L. E. Bleem , H. Camacho , A. Campos , A. Carnero Rosell , M. Carrasco Kind , R. Cawthon , R. Chen , A. Choi , J. Cordero , T. M. Crawford , M. Crocce , C. Davis , J. DeRose , S. Dodelson , C. Doux , A. Drlica-Wagner , K. Eckert , T. F. Eifler , F. Elsner , J. Elvin-Poole , S. Everett , X. Fang , A. Ferté , P. Fosalba , M. Gatti , G. Giannini , D. Gruen , R. A. Gruendl , I. Harrison , 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. 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 , N. Weaverdyck , R. H. Wechsler , W. L. K. Wu , B. Yanny , B. Yin , Y. Zhang , J. Zuntz , T. M. C. Abbott , M. Aguena , S. Allam , J. Annis , D. Bacon , B. A. Benson , E. Bertin , S. Bocquet , D. Brooks , D. L. Burke , J. E. Carlstrom , J. Carretero , C. L. Chang , R. Chown , M. Costanzi , L. N. da Costa , A. T. Crites , M. E. S. Pereira , T. de Haan , J. De Vicente , S. Desai , H. T. Diehl , M. A. Dobbs , P. Doel , W. Everett , I. Ferrero , B. Flaugher , D. Friedel , J. Frieman , J. García-Bellido , E. Gaztanaga , E. M. George , T. Giannantonio , N. W. Halverson , S. R. Hinton , G. P. Holder , D. L. Hollowood , W. L. Holzapfel , K. Honscheid , J. D. Hrubes , D. J. James , L. Knox , K. Kuehn , O. Lahav , A. T. Lee , M. Lima , D. Luong-Van , M. March , J. J. McMahon , P. Melchior , F. Menanteau , S. S. Meyer , R. Miquel , L. Mocanu , J. J. Mohr , R. Morgan , T. Natoli , S. Padin , A. Palmese , F. Paz-Chinchón , A. Pieres , A. A. Plazas Malagón , C. Pryke , C. L. Reichardt , A. K. Romer , J. E. Ruhl , E. Sanchez , K. K. Schaffer , M. Schubnell , S. Serrano , E. Shirokoff , M. Smith , Z. Staniszewski , A. A. Stark , E. Suchyta , G. Tarle , D. Thomas , C. To , J. D. Vieira , J. Weller , R. Williamson

We present a new non-parametric method for determining mean 3D density and mass profiles from weak lensing measurements around stacked samples of galaxies or clusters, that is, from measurement of the galaxy-shear or cluster-shear…

We explore the cosmological constraints from cosmic shear using a new way of modelling the non-linear matter correlation functions. The new formalism extends the method of Angulo & White (2010), which manipulates outputs of $N$-body…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Raul E. Angulo , Stefan Hilbert

I propose an analysis method, based on spin-spherical harmonics and spherical Bessel functions, for large-scale weak lensing surveys which have source distance information through photometric redshifts. I show that the distance information…

Astrophysics · Physics 2009-11-07 Alan Heavens

We present the theoretical and analytical bases of optimal techniques to measure weak gravitational shear from images of galaxies. We first characterize the geometric space of shears and ellipticity, then use this geometric interpretation…

Astrophysics · Physics 2009-11-06 G. M. Bernstein , M. Jarvis

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 quantify the cosmological constraining power of the `lensing PDF' - the one-point probability density of weak lensing convergence maps - by modelling this statistic numerically with an emulator trained on $w$CDM cosmic shear simulations.…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-01 Benjamin Giblin , Yan-Chuan Cai , Joachim Harnois-Déraps

The abundance of peaks in weak gravitational lensing maps is a potentially powerful cosmological tool, complementary to measurements of the shear power spectrum. We study peaks detected directly in shear maps, rather than convergence maps,…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Nicolas Martinet , James G. Bartlett , Alina Kiessling , Barbara Sartoris