Built on

E. Bellini, L. van Waerbeke, S. Joudaki and D. Alonso, Sheer shear: weak lensing with one mode , The Open Journal of Astrophysics 2
Original
1903
Earlier work this paper cites.
C. Gouin, R. Gavazzi, C. Pichon, Y. Dubois, C. Laigle, N. E. Chisari et al., Weak lensing in the Horizon-AGN simulation lightcone. Small-scale baryonic effects , A&A 626
Original
1904
Earlier work this paper cites.
J. Harnois-Déraps, B. Giblin and B. Joachimi, Cosmic shear covariance matrix in wCDM: Cosmology matters , A&A 631
Original
1905
Earlier work this paper cites.
N. E. Chisari, A. J. Mead, S. Joudaki, P. G. Ferreira, A. Schneider, J. Mohr et al., Modelling baryonic feedback for survey cosmology , The Open Journal of Astrophysics 2
Original
1905
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S. Joudaki, H. Hildebrandt, D. Traykova, N. E. Chisari, C. Heymans, A. Kannawadi et al., KiDS+VIKING-450 and DES-Y1 combined: Cosmology with cosmic shear , A&A 638
Original
1906
Earlier work this paper cites.
C. García-García, D. Alonso and E. Bellini, Disconnected pseudo-C l
Original
1906
Earlier work this paper cites.
A. H. Wright, H. Hildebrandt, J. L. van den Busch and C. Heymans, Photometric redshift calibration with self-organising maps , A&A 637
Original
1909
Earlier work this paper cites.
E. S. Sheldon, M. R. Becker, N. MacCrann and M. Jarvis, Mitigating Shear-dependent Object Detection Biases with Metacalibration , arXiv e-prints (2019) arXiv:1911.02505 [ 1911.02505 ]
Original
1911
Earlier work this paper cites.
A. Nicola, D. Alonso, J. Sánchez, A. Slosar, H. Awan, A. Broussard et al., Tomographic galaxy clustering with the Subaru Hyper Suprime-Cam first year public data release , J. Cosmology Astropart. Phys 2020
Original
1912
Earlier work this paper cites.
P. J. E. Peebles, Statistical Analysis of Catalogs of Extragalactic Objects. I. Theory , ApJ 185
1973
Earlier work this paper cites.
D. C. Wells, E. W. Greisen and R. H. Harten, FITS - a Flexible Image Transport System , A&AS 44
1981
Earlier work this paper cites.
D. Scott, M. Srednicki and M. White, “Sample Variance” in Small-Scale Cosmic Microwave Background Anisotropy Experiments , ApJ 421
1994
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N. Kaiser, G. Squires and T. Broadhurst, A Method for Weak Lensing Observations , ApJ 449
1995
Earlier work this paper cites.
M. Tegmark, How to measure CMB power spectra without losing information , Phys. Rev. D 55
1997
Earlier work this paper cites.
J. R. Bond, A. H. Jaffe and L. Knox, Estimating the power spectrum of the cosmic microwave background , Phys. Rev. D 57
1998
Earlier work this paper cites.
S. P. Oh, D. N. Spergel and G. Hinshaw, An Efficient Technique to Determine the Power Spectrum from Cosmic Microwave Background Sky Maps , ApJ 510
1999
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D. J. Bacon, A. R. Refregier and R. S. Ellis, Detection of weak gravitational lensing by large-scale structure , MNRAS 318
2000
Earlier work this paper cites.
N. Kaiser, G. Wilson and G. A. Luppino, Large-Scale Cosmic Shear Measurements , arXiv e-prints (2000) astro [ astro-ph/0003338 ]
2000
Earlier work this paper cites.
L. Van Waerbeke, Y. Mellier, T. Erben, J. C. Cuilland re, F. Bernardeau, R. Maoli et al., Detection of correlated galaxy ellipticities from CFHT data: first evidence for gravitational lensing by large-scale structures , A&A 358
2000
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D. M. Wittman, J. A. Tyson, D. Kirkman, I. Dell’Antonio and G. Bernstein, Detection of weak gravitational lensing distortions of distant galaxies by cosmic dark matter at large scales , Nature 405
2000
Earlier work this paper cites.
A. Heavens, A. Refregier and C. Heymans, Intrinsic correlation of galaxy shapes: implications for weak lensing measurements , MNRAS 319
2000
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R. A. C. Croft and C. A. Metzler, Weak-Lensing Surveys and the Intrinsic Correlation of Galaxy Ellipticities , ApJ 545
2000
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N. Benítez, Bayesian Photometric Redshift Estimation , ApJ 536
2000
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A. Cooray and W. Hu, Power Spectrum Covariance of Weak Gravitational Lensing , ApJ 554
2001
Earlier work this paper cites.
M. Bartelmann and P. Schneider, Weak gravitational lensing , Phys. Rep. 340
2001
Earlier work this paper cites.
O. Doré, L. Knox and A. Peel, CMB power spectrum estimation via hierarchical decomposition , Phys. Rev. D 64
2001
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P. Schneider, L. van Waerbeke, M. Kilbinger and Y. Mellier, Analysis of two-point statistics of cosmic shear. I. Estimators and covariances , A&A 396
2002
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E. Hivon, K. M. Górski, C. B. Netterfield, B. P. Crill, S. Prunet and F. Hansen, MASTER of the Cosmic Microwave Background Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex Cosmic Microwave Background Data Sets , ApJ 567
2002
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G. M. Bernstein and M. Jarvis, Shapes and Shears, Stars and Smears: Optimal Measurements for Weak Lensing , AJ 123
2002
Earlier work this paper cites.
A. Cooray and W. Hu, Second-Order Corrections to Weak Lensing by Large-Scale Structure , ApJ 574
2002
Earlier work this paper cites.
U.-L. Pen, Fast power spectrum estimation , MNRAS 346
2003
Earlier work this paper cites.
C. Hirata and U. Seljak, Shear calibration biases in weak-lensing surveys , MNRAS 343
2003
Earlier work this paper cites.
C. Sánchez, M. Raveri, A. Alarcon and G. M. Bernstein, Propagating sample variance uncertainties in redshift calibration: simulations, theory and application to the COSMOS2015 data , MNRAS (2020) [ 2004.09542 ]
Original
2004
Earlier work this paper cites.
J. Jewell, S. Levin and C. H. Anderson, Application of Monte Carlo Algorithms to the Bayesian Analysis of the Cosmic Microwave Background , ApJ 609
2004
Earlier work this paper cites.

Similar

G. Efstathiou, Myths and truths concerning estimation of power spectra: the case for a hybrid estimator , MNRAS 349
2004
Cited alongside, same era.
M. L. Brown, P. G. Castro and A. N. Taylor, Cosmic microwave background temperature and polarization pseudo-C l
2005
Cited alongside, same era.
K. M. Górski, E. Hivon, A. J. Banday, B. D. Wand elt, F. K. Hansen, M. Reinecke et al., HEALPix: A Framework for High-Resolution Discretization and Fast Analysis of Data Distributed on the Sphere , ApJ 622
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Cited alongside, same era.
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2006
Cited alongside, same era.
A. Nicola, J. Dunkley and D. N. Spergel, Joint cosmology and mass calibration from tSZ cluster counts and cosmic shear , arXiv e-prints (2020) arXiv:2006.00008 [ 2006.00008 ]

Then

F. Köhlinger, M. Viola, W. Valkenburg, B. Joachimi, H. Hoekstra and K. Kuijken, A direct measurement of tomographic lensing power spectra from CFHTLenS , MNRAS 456
Original
2016
Later among the works it cites.
H. Hildebrandt, M. Viola, C. Heymans, S. Joudaki, K. Kuijken, C. Blake et al., KiDS-450: cosmological parameter constraints from tomographic weak gravitational lensing , MNRAS 465
Original
2017
Later among the works it cites.
E. Huff and R. Mandelbaum, Metacalibration: Direct Self-Calibration of Biases in Shear Measurement , arXiv e-prints (2017) arXiv:1702.02600 [ 1702.02600 ]
Original
2017
Later among the works it cites.
E. Krause and T. Eifler, cosmolike - cosmological likelihood analyses for photometric galaxy surveys , MNRAS 470
Original
2017
Later among the works it cites.

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2020

Cosmic shear power spectra in practice

Nicola, Andrina, García-García, Carlos, Alonso, David et al.

Understand

Cosmic shear is one of the most powerful probes of Dark Energy, targeted by several current and future galaxy surveys.

Lensing shear, however, is only sampled at the positions of galaxies with measured shapes in the catalog, making its associated sky window function one of the most complicated amongst all projected cosmological probes of inhomogeneities, as well as giving rise to inhomogeneous noise.
Partly for this reason, cosmic shear analyses have been mostly carried out in real-space, making use of correlation functions, as opposed to Fourier-space power spectra.
Since the use of power spectra can yield complementary information and has numerical advantages over real-space pipelines, it is important to develop a complete formalism describing the standard unbiased power spectrum estimators as well as their associated uncertainties.

Built on

E. Bellini, L. van Waerbeke, S. Joudaki and D. Alonso, Sheer shear: weak lensing with one mode , The Open Journal of Astrophysics 2
Original
1903
Earlier work this paper cites.
C. Gouin, R. Gavazzi, C. Pichon, Y. Dubois, C. Laigle, N. E. Chisari et al., Weak lensing in the Horizon-AGN simulation lightcone. Small-scale baryonic effects , A&A 626
Original
1904
Earlier work this paper cites.
J. Harnois-Déraps, B. Giblin and B. Joachimi, Cosmic shear covariance matrix in wCDM: Cosmology matters , A&A 631
Original
1905
Earlier work this paper cites.
N. E. Chisari, A. J. Mead, S. Joudaki, P. G. Ferreira, A. Schneider, J. Mohr et al., Modelling baryonic feedback for survey cosmology , The Open Journal of Astrophysics 2
Original
1905
Earlier work this paper cites.
S. Joudaki, H. Hildebrandt, D. Traykova, N. E. Chisari, C. Heymans, A. Kannawadi et al., KiDS+VIKING-450 and DES-Y1 combined: Cosmology with cosmic shear , A&A 638
Original
1906
Earlier work this paper cites.
C. García-García, D. Alonso and E. Bellini, Disconnected pseudo-C l
Original
1906
Earlier work this paper cites.
A. H. Wright, H. Hildebrandt, J. L. van den Busch and C. Heymans, Photometric redshift calibration with self-organising maps , A&A 637
Original
1909
Earlier work this paper cites.
E. S. Sheldon, M. R. Becker, N. MacCrann and M. Jarvis, Mitigating Shear-dependent Object Detection Biases with Metacalibration , arXiv e-prints (2019) arXiv:1911.02505 [ 1911.02505 ]
Original
1911
Earlier work this paper cites.
A. Nicola, D. Alonso, J. Sánchez, A. Slosar, H. Awan, A. Broussard et al., Tomographic galaxy clustering with the Subaru Hyper Suprime-Cam first year public data release , J. Cosmology Astropart. Phys 2020
Original
1912
Earlier work this paper cites.
P. J. E. Peebles, Statistical Analysis of Catalogs of Extragalactic Objects. I. Theory , ApJ 185
1973
Earlier work this paper cites.
D. C. Wells, E. W. Greisen and R. H. Harten, FITS - a Flexible Image Transport System , A&AS 44
1981
Earlier work this paper cites.
D. Scott, M. Srednicki and M. White, “Sample Variance” in Small-Scale Cosmic Microwave Background Anisotropy Experiments , ApJ 421
1994
Earlier work this paper cites.
N. Kaiser, G. Squires and T. Broadhurst, A Method for Weak Lensing Observations , ApJ 449
1995
Earlier work this paper cites.
M. Tegmark, How to measure CMB power spectra without losing information , Phys. Rev. D 55
1997
Earlier work this paper cites.
J. R. Bond, A. H. Jaffe and L. Knox, Estimating the power spectrum of the cosmic microwave background , Phys. Rev. D 57
1998
Earlier work this paper cites.
S. P. Oh, D. N. Spergel and G. Hinshaw, An Efficient Technique to Determine the Power Spectrum from Cosmic Microwave Background Sky Maps , ApJ 510
1999
Earlier work this paper cites.
D. J. Bacon, A. R. Refregier and R. S. Ellis, Detection of weak gravitational lensing by large-scale structure , MNRAS 318
2000
Earlier work this paper cites.
N. Kaiser, G. Wilson and G. A. Luppino, Large-Scale Cosmic Shear Measurements , arXiv e-prints (2000) astro [ astro-ph/0003338 ]
2000
Earlier work this paper cites.
L. Van Waerbeke, Y. Mellier, T. Erben, J. C. Cuilland re, F. Bernardeau, R. Maoli et al., Detection of correlated galaxy ellipticities from CFHT data: first evidence for gravitational lensing by large-scale structures , A&A 358
2000
Earlier work this paper cites.
D. M. Wittman, J. A. Tyson, D. Kirkman, I. Dell’Antonio and G. Bernstein, Detection of weak gravitational lensing distortions of distant galaxies by cosmic dark matter at large scales , Nature 405
2000
Earlier work this paper cites.
A. Heavens, A. Refregier and C. Heymans, Intrinsic correlation of galaxy shapes: implications for weak lensing measurements , MNRAS 319
2000
Earlier work this paper cites.
R. A. C. Croft and C. A. Metzler, Weak-Lensing Surveys and the Intrinsic Correlation of Galaxy Ellipticities , ApJ 545
2000
Earlier work this paper cites.
N. Benítez, Bayesian Photometric Redshift Estimation , ApJ 536
2000
Earlier work this paper cites.
A. Cooray and W. Hu, Power Spectrum Covariance of Weak Gravitational Lensing , ApJ 554
2001
Earlier work this paper cites.
M. Bartelmann and P. Schneider, Weak gravitational lensing , Phys. Rep. 340
2001
Earlier work this paper cites.
O. Doré, L. Knox and A. Peel, CMB power spectrum estimation via hierarchical decomposition , Phys. Rev. D 64
2001
Earlier work this paper cites.
P. Schneider, L. van Waerbeke, M. Kilbinger and Y. Mellier, Analysis of two-point statistics of cosmic shear. I. Estimators and covariances , A&A 396
2002
Earlier work this paper cites.
E. Hivon, K. M. Górski, C. B. Netterfield, B. P. Crill, S. Prunet and F. Hansen, MASTER of the Cosmic Microwave Background Anisotropy Power Spectrum: A Fast Method for Statistical Analysis of Large and Complex Cosmic Microwave Background Data Sets , ApJ 567
2002
Earlier work this paper cites.
G. M. Bernstein and M. Jarvis, Shapes and Shears, Stars and Smears: Optimal Measurements for Weak Lensing , AJ 123
2002
Earlier work this paper cites.
A. Cooray and W. Hu, Second-Order Corrections to Weak Lensing by Large-Scale Structure , ApJ 574
2002
Earlier work this paper cites.
U.-L. Pen, Fast power spectrum estimation , MNRAS 346
2003
Earlier work this paper cites.
C. Hirata and U. Seljak, Shear calibration biases in weak-lensing surveys , MNRAS 343
2003
Earlier work this paper cites.
C. Sánchez, M. Raveri, A. Alarcon and G. M. Bernstein, Propagating sample variance uncertainties in redshift calibration: simulations, theory and application to the COSMOS2015 data , MNRAS (2020) [ 2004.09542 ]
Original
2004
Earlier work this paper cites.
J. Jewell, S. Levin and C. H. Anderson, Application of Monte Carlo Algorithms to the Bayesian Analysis of the Cosmic Microwave Background , ApJ 609
2004
Earlier work this paper cites.

Similar

G. Efstathiou, Myths and truths concerning estimation of power spectra: the case for a hybrid estimator , MNRAS 349
2004
Cited alongside, same era.
M. L. Brown, P. G. Castro and A. N. Taylor, Cosmic microwave background temperature and polarization pseudo-C l
2005
Cited alongside, same era.
K. M. Górski, E. Hivon, A. J. Banday, B. D. Wand elt, F. K. Hansen, M. Reinecke et al., HEALPix: A Framework for High-Resolution Discretization and Fast Analysis of Data Distributed on the Sphere , ApJ 622
2005
Cited alongside, same era.
A. Albrecht, G. Bernstein, R. Cahn, W. L. Freedman, J. Hewitt, W. Hu et al., Report of the Dark Energy Task Force , arXiv e-prints (2006) astro [ astro-ph/0609591 ]
2006
Cited alongside, same era.
A. Nicola, J. Dunkley and D. N. Spergel, Joint cosmology and mass calibration from tSZ cluster counts and cosmic shear , arXiv e-prints (2020) arXiv:2006.00008 [ 2006.00008 ]

Then

F. Köhlinger, M. Viola, W. Valkenburg, B. Joachimi, H. Hoekstra and K. Kuijken, A direct measurement of tomographic lensing power spectra from CFHTLenS , MNRAS 456
Original
2016
Later among the works it cites.
H. Hildebrandt, M. Viola, C. Heymans, S. Joudaki, K. Kuijken, C. Blake et al., KiDS-450: cosmological parameter constraints from tomographic weak gravitational lensing , MNRAS 465
Original
2017
Later among the works it cites.
E. Huff and R. Mandelbaum, Metacalibration: Direct Self-Calibration of Biases in Shear Measurement , arXiv e-prints (2017) arXiv:1702.02600 [ 1702.02600 ]
Original
2017
Later among the works it cites.
E. Krause and T. Eifler, cosmolike - cosmological likelihood analyses for photometric galaxy surveys , MNRAS 470
Original
2017
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2006

Cited alongside, same era.

T. E. Oliphant, A guide to NumPy , vol. 1. Trelgol Publishing USA, 2006

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Cited alongside, same era.

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Original

2007

Cited alongside, same era.

C. Heymans, T. Tröster, M. Asgari, C. Blake, H. Hildebrandt, B. Joachimi et al., KiDS-1000 Cosmology: Multi-probe weak gravitational lensing and spectroscopic galaxy clustering constraints , arXiv e-prints (2020) arXiv:2007.15632 [ 2007.15632 ]

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J. D. Hunter, Matplotlib: A 2d graphics environment , Computing in Science & Engineering 9

2007

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2008

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Original

2017