Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data
We investigate the performance of a simple Bayesian fitting approach to correct the cosmic microwave background (CMB) B-mode polarization for gravitational lensing effects in the recovered probability distribution of the tensor-to-scalar ratio. We perform a two-dimensional power spectrum fit of the...
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ftoslouniv:oai:www.duo.uio.no:10852/60194 2023-05-15T18:23:14+02:00 Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data Remazeilles, M. Dickinson, C. Eriksen, Hans Kristian Kamfjord Wehus, Ingunn Kathrine 2018-01-10T11:20:03Z http://hdl.handle.net/10852/60194 http://urn.nb.no/URN:NBN:no-62842 https://doi.org/10.1093/mnras/stx3046 EN eng Blackwell Publishing http://urn.nb.no/URN:NBN:no-62842 Remazeilles, M. Dickinson, C. Eriksen, Hans Kristian Kamfjord Wehus, Ingunn Kathrine . Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data. Monthly notices of the Royal Astronomical Society. 2017, 474(3), 3889-3897 http://hdl.handle.net/10852/60194 1539626 info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Monthly notices of the Royal Astronomical Society&rft.volume=474&rft.spage=3889&rft.date=2017 Monthly notices of the Royal Astronomical Society 474 3 3889 3897 http://dx.doi.org/10.1093/mnras/stx3046 URN:NBN:no-62842 Fulltext https://www.duo.uio.no/bitstream/handle/10852/60194/2/stx3046.pdf 0035-8711 Journal article Tidsskriftartikkel Peer reviewed PublishedVersion 2018 ftoslouniv https://doi.org/10.1093/mnras/stx3046 2020-06-21T08:51:26Z We investigate the performance of a simple Bayesian fitting approach to correct the cosmic microwave background (CMB) B-mode polarization for gravitational lensing effects in the recovered probability distribution of the tensor-to-scalar ratio. We perform a two-dimensional power spectrum fit of the amplitude of the primordial B modes (tensor-to-scalar ratio, r) and the amplitude of the lensing B modes (parameter Alens), jointly with the estimation of the astrophysical foregrounds including both synchrotron and thermal dust emissions. Using this Bayesian framework, we forecast the ability of the proposed CMB space mission LiteBIRD to constrain r in the presence of realistic lensing and foreground contributions. We compute the joint posterior distribution of r and Alens, which we improve by adopting a prior on Alens taken from the South Pole Telescope (SPT) measurement. As it applies to the power spectrum, this approach cannot mitigate the uncertainty on r that is due to E-mode cosmic variance transferred to B modes by lensing, unlike standard delensing techniques that are performed on maps. However, the method allows us to correct for the bias on r induced by lensing, at the expense of a larger uncertainty due to the increased volume of the parameter space. We quantify, for different values of the tensor-to-scalar ratio, the trade-off between bias correction and increase of uncertainty on r. For LiteBIRD simulations, which include foregrounds and lensing contamination, we find that correcting the foreground-cleaned CMB B-mode power spectrum for the lensing bias, not the lensing cosmic variance, still guarantees a 3σ detection of r = 5 × 10−3. The significance of the detection is increased to 6σ when the current SPT prior on Alens is adopted. © 2017 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society Article in Journal/Newspaper South pole Universitet i Oslo: Digitale utgivelser ved UiO (DUO) South Pole Monthly Notices of the Royal Astronomical Society 474 3 3889 3897 |
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Open Polar |
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Universitet i Oslo: Digitale utgivelser ved UiO (DUO) |
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ftoslouniv |
language |
English |
description |
We investigate the performance of a simple Bayesian fitting approach to correct the cosmic microwave background (CMB) B-mode polarization for gravitational lensing effects in the recovered probability distribution of the tensor-to-scalar ratio. We perform a two-dimensional power spectrum fit of the amplitude of the primordial B modes (tensor-to-scalar ratio, r) and the amplitude of the lensing B modes (parameter Alens), jointly with the estimation of the astrophysical foregrounds including both synchrotron and thermal dust emissions. Using this Bayesian framework, we forecast the ability of the proposed CMB space mission LiteBIRD to constrain r in the presence of realistic lensing and foreground contributions. We compute the joint posterior distribution of r and Alens, which we improve by adopting a prior on Alens taken from the South Pole Telescope (SPT) measurement. As it applies to the power spectrum, this approach cannot mitigate the uncertainty on r that is due to E-mode cosmic variance transferred to B modes by lensing, unlike standard delensing techniques that are performed on maps. However, the method allows us to correct for the bias on r induced by lensing, at the expense of a larger uncertainty due to the increased volume of the parameter space. We quantify, for different values of the tensor-to-scalar ratio, the trade-off between bias correction and increase of uncertainty on r. For LiteBIRD simulations, which include foregrounds and lensing contamination, we find that correcting the foreground-cleaned CMB B-mode power spectrum for the lensing bias, not the lensing cosmic variance, still guarantees a 3σ detection of r = 5 × 10−3. The significance of the detection is increased to 6σ when the current SPT prior on Alens is adopted. © 2017 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society |
format |
Article in Journal/Newspaper |
author |
Remazeilles, M. Dickinson, C. Eriksen, Hans Kristian Kamfjord Wehus, Ingunn Kathrine |
spellingShingle |
Remazeilles, M. Dickinson, C. Eriksen, Hans Kristian Kamfjord Wehus, Ingunn Kathrine Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data |
author_facet |
Remazeilles, M. Dickinson, C. Eriksen, Hans Kristian Kamfjord Wehus, Ingunn Kathrine |
author_sort |
Remazeilles, M. |
title |
Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data |
title_short |
Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data |
title_full |
Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data |
title_fullStr |
Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data |
title_full_unstemmed |
Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data |
title_sort |
joint bayesian estimation of tensor and lensing b modes in the power spectrum of cmb polarization data |
publisher |
Blackwell Publishing |
publishDate |
2018 |
url |
http://hdl.handle.net/10852/60194 http://urn.nb.no/URN:NBN:no-62842 https://doi.org/10.1093/mnras/stx3046 |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_source |
0035-8711 |
op_relation |
http://urn.nb.no/URN:NBN:no-62842 Remazeilles, M. Dickinson, C. Eriksen, Hans Kristian Kamfjord Wehus, Ingunn Kathrine . Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data. Monthly notices of the Royal Astronomical Society. 2017, 474(3), 3889-3897 http://hdl.handle.net/10852/60194 1539626 info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Monthly notices of the Royal Astronomical Society&rft.volume=474&rft.spage=3889&rft.date=2017 Monthly notices of the Royal Astronomical Society 474 3 3889 3897 http://dx.doi.org/10.1093/mnras/stx3046 URN:NBN:no-62842 Fulltext https://www.duo.uio.no/bitstream/handle/10852/60194/2/stx3046.pdf |
op_doi |
https://doi.org/10.1093/mnras/stx3046 |
container_title |
Monthly Notices of the Royal Astronomical Society |
container_volume |
474 |
container_issue |
3 |
container_start_page |
3889 |
op_container_end_page |
3897 |
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1766202781317726208 |