Improving small-scale CMB lensing reconstruction
Abstract
Over the past decade, the gravitational lensing of the Cosmic Microwave Background (CMB) has become a powerful tool for probing the matter distribution in the Universe. The standard technique used to reconstruct the CMB lensing signal employs the quadratic estimator (QE) method, which has recently been shown to be suboptimal for lensing measurements on very small scales in temperature and polarization data. We implement a simple, more optimal method for the small-scale regime, which involves taking the direct inverse of the background gradient. We derive new techniques to make continuous maps of lensing using this "Gradient-Inversion" (GI) method and validate our method with simulated data, finding good agreement with predictions. For idealized simulations of lensing cross- and autospectra that neglect foregrounds, we demonstrate that our method performs significantly better than previous quadratic estimator methods in temperature; at $L=5000-9000$, it reduces errors on the lensing auto-power spectrum by a factor of $$\sim 4$$ for both idealized CMB-S4 and Simons Observatory-like experiments and by a factor of $$\sim 2.6$$ for cross-correlations of CMB-S4-like lensing reconstruction and the true lensing field. Finally, we caution that the level of the neglected small-scale foreground power, while low in polarization, is very high in temperature; though we briefly outline foreground mitigation methods, further work on this topic is required. Nevertheless, our results show the future potential for improved small-scale CMB lensing measurements, which could provide stronger constraints on cosmological parameters and astrophysics at high redshifts.
- Authors:
-
- Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States); Univ. of Cambridge (United Kingdom)
- Univ. of Cambridge (United Kingdom)
- Princeton Univ., NJ (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1616086
- Alternate Identifier(s):
- OSTI ID: 1562597
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 2; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; cosmic microwave background; large scale structure of the universe
Citation Formats
Hadzhiyska, Boryana, Sherwin, Blake D., Madhavacheril, Mathew, and Ferraro, Simone. Improving small-scale CMB lensing reconstruction. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.023547.
Hadzhiyska, Boryana, Sherwin, Blake D., Madhavacheril, Mathew, & Ferraro, Simone. Improving small-scale CMB lensing reconstruction. United States. https://doi.org/10.1103/PhysRevD.100.023547
Hadzhiyska, Boryana, Sherwin, Blake D., Madhavacheril, Mathew, and Ferraro, Simone. Mon .
"Improving small-scale CMB lensing reconstruction". United States. https://doi.org/10.1103/PhysRevD.100.023547. https://www.osti.gov/servlets/purl/1616086.
@article{osti_1616086,
title = {Improving small-scale CMB lensing reconstruction},
author = {Hadzhiyska, Boryana and Sherwin, Blake D. and Madhavacheril, Mathew and Ferraro, Simone},
abstractNote = {Over the past decade, the gravitational lensing of the Cosmic Microwave Background (CMB) has become a powerful tool for probing the matter distribution in the Universe. The standard technique used to reconstruct the CMB lensing signal employs the quadratic estimator (QE) method, which has recently been shown to be suboptimal for lensing measurements on very small scales in temperature and polarization data. We implement a simple, more optimal method for the small-scale regime, which involves taking the direct inverse of the background gradient. We derive new techniques to make continuous maps of lensing using this "Gradient-Inversion" (GI) method and validate our method with simulated data, finding good agreement with predictions. For idealized simulations of lensing cross- and autospectra that neglect foregrounds, we demonstrate that our method performs significantly better than previous quadratic estimator methods in temperature; at $L=5000-9000$, it reduces errors on the lensing auto-power spectrum by a factor of $\sim 4$ for both idealized CMB-S4 and Simons Observatory-like experiments and by a factor of $\sim 2.6$ for cross-correlations of CMB-S4-like lensing reconstruction and the true lensing field. Finally, we caution that the level of the neglected small-scale foreground power, while low in polarization, is very high in temperature; though we briefly outline foreground mitigation methods, further work on this topic is required. Nevertheless, our results show the future potential for improved small-scale CMB lensing measurements, which could provide stronger constraints on cosmological parameters and astrophysics at high redshifts.},
doi = {10.1103/PhysRevD.100.023547},
journal = {Physical Review D},
number = 2,
volume = 100,
place = {United States},
year = {Mon Jul 29 00:00:00 EDT 2019},
month = {Mon Jul 29 00:00:00 EDT 2019}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Bias-hardened CMB lensing
journal, February 2013
- Namikawa, Toshiya; Hanson, Duncan; Takahashi, Ryuichi
- Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 1
Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
journal, June 2017
- Sherwin, Blake D.; van Engelen, Alexander; Sehgal, Neelima
- Physical Review D, Vol. 95, Issue 12
A Measurement of Gravitational Lensing of the Microwave Background Using South pole Telescope data
journal, August 2012
- van Engelen, A.; Keisler, R.; Zahn, O.
- The Astrophysical Journal, Vol. 756, Issue 2
Mass Reconstruction with Cosmic Microwave Background Polarization
journal, August 2002
- Hu, Wayne; Okamoto, Takemi
- The Astrophysical Journal, Vol. 574, Issue 2
Analyzing weak lensing of the cosmic microwave background using the likelihood function
journal, February 2003
- Hirata, Christopher M.; Seljak, Uroš
- Physical Review D, Vol. 67, Issue 4
Measuring the small-scale matter power spectrum with high-resolution CMB lensing
journal, January 2019
- Nguyễn, Hồ Nam; Sehgal, Neelima; Madhavacheril, Mathew S.
- Physical Review D, Vol. 99, Issue 2
Planck 2015 results : X. Diffuse component separation: Foreground maps
journal, September 2016
- Adam, R.; Ade, P. A. R.; Aghanim, N.
- Astronomy & Astrophysics, Vol. 594
A Measurement of the Cosmic Microwave Background Gravitational Lensing Potential from 100 Square Degrees of Sptpol data
journal, August 2015
- Story, K. T.; Hanson, D.; Ade, P. A. R.
- The Astrophysical Journal, Vol. 810, Issue 1
Cosmological information from lensed CMB power spectra
journal, December 2006
- Smith, Kendrick M.; Hu, Wayne; Kaplinghat, Manoj
- Physical Review D, Vol. 74, Issue 12
Detecting Patchy Reionization in the Cosmic Microwave Background
journal, July 2017
- Smith, Kendrick M.; Ferraro, Simone
- Physical Review Letters, Vol. 119, Issue 2
Weak gravitational lensing of the CMB
journal, June 2006
- Lewis, A.; Challinor, A.
- Physics Reports, Vol. 429, Issue 1
Planck 2015 results : XV. Gravitational lensing
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Arnaud, M.
- Astronomy & Astrophysics, Vol. 594
Lensing‐induced Cluster Signatures in the Cosmic Microwave Background
journal, July 2000
- Seljak, Uroš; Zaldarriaga, Matias
- The Astrophysical Journal, Vol. 538, Issue 1
Maximum a posteriori CMB lensing reconstruction
journal, September 2017
- Carron, Julien; Lewis, Antony
- Physical Review D, Vol. 96, Issue 6
Determination of inflationary observables by cosmic microwave background anisotropy experiments
journal, October 1995
- Knox, Lloyd
- Physical Review D, Vol. 52, Issue 8
A 2500 deg 2 CMB Lensing Map from Combined South Pole Telescope and Planck Data
journal, November 2017
- Omori, Y.; Chown, R.; Simard, G.
- The Astrophysical Journal, Vol. 849, Issue 2
Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
text, January 2017
- Sherwin, Blake; Van Engelen, A.; Sehgal, N.
- Apollo - University of Cambridge Repository
Myths and truths concerning estimation of power spectra: the case for a hybrid estimator
journal, April 2004
- Efstathiou, G.
- Monthly Notices of the Royal Astronomical Society, Vol. 349, Issue 2
Reconstructing small-scale lenses from the cosmic microwave background temperature fluctuations
journal, February 2019
- Horowitz, Benjamin; Ferraro, Simone; Sherwin, Blake D.
- Monthly Notices of the Royal Astronomical Society, Vol. 485, Issue 3
Planck 2015 results : XI. CMB power spectra, likelihoods, and robustness of parameters
journal, September 2016
- Aghanim, N.; Arnaud, M.; Ashdown, M.
- Astronomy & Astrophysics, Vol. 594
Bias to CMB lensing reconstruction from temperature anisotropies due to large-scale galaxy motions
journal, January 2018
- Ferraro, Simone; Hill, J. Colin
- Physical Review D, Vol. 97, Issue 2
Measurement of the Cosmic Microwave Background Polarization Lensing Power Spectrum with the POLARBEAR Experiment
journal, July 2014
- Ade, P. A. R.; Akiba, Y.; Anthony, A. E.
- Physical Review Letters, Vol. 113, Issue 2
Cluster mass estimators from CMB temperature and polarization lensing
journal, December 2007
- Hu, Wayne; DeDeo, Simon; Vale, Chris
- New Journal of Physics, Vol. 9, Issue 12
Weak lensing of the CMB by large-scale structure
journal, October 2004
- Amblard, Alexandre; Vale, Chris; White, Martin
- New Astronomy, Vol. 9, Issue 8
Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope
journal, July 2011
- Das, Sudeep; Sherwin, Blake D.; Aguirre, Paula
- Physical Review Letters, Vol. 107, Issue 2
Detection of gravitational lensing in the cosmic microwave background
journal, August 2007
- Smith, Kendrick M.; Zahn, Oliver; Doré, Olivier
- Physical Review D, Vol. 76, Issue 4
Bayesian delensing of CMB temperature and polarization
journal, July 2019
- Millea, Marius; Anderes, Ethan; Wandelt, Benjamin D.
- Physical Review D, Vol. 100, Issue 2
Planck 2015 results : XVI. Isotropy and statistics of the CMB
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Akrami, Y.
- Astronomy & Astrophysics, Vol. 594
Planck 2015 results : XXVI. The Second
journal, September 2016
- Ade, P. A. R.; Aghanim, N.; Argüeso, F.
- Astronomy & Astrophysics, Vol. 594
Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope
text, January 2011
- Das, Sudeep; Sherwin, Blake D.; Aguirre, Paula
- arXiv
Bias-Hardened CMB Lensing
text, January 2012
- Namikawa, Toshiya; Hanson, Duncan; Takahashi, Ryuichi
- arXiv
Planck 2015 results. XV. Gravitational lensing
text, January 2015
- Collaboration, Planck; Ade, P. A. R.; Aghanim, N.
- arXiv
Bias to CMB Lensing Reconstruction from Temperature Anisotropies due to Large-Scale Galaxy Motions
text, January 2017
- Ferraro, Simone; Hill, J. Colin
- arXiv
Reconstructing Small Scale Lenses from the Cosmic Microwave Background Temperature Fluctuations
text, January 2017
- Horowitz, Benjamin; Ferraro, Simone; Sherwin, Blake D.
- arXiv
Analyzing weak lensing of the cosmic microwave background using the likelihood function
text, January 2002
- Hirata, Christopher M.; Seljak, Uros
- arXiv
Weak Lensing of the CMB by Large-Scale Structure
text, January 2004
- Amblard, Alexandre; Vale, Chris; White, Martin
- arXiv
Cluster Mass Estimators from CMB Temperature and Polarization Lensing
text, January 2007
- Hu, Wayne; DeDeo, Simon; Vale, Chris
- arXiv
Figures / Tables found in this record: