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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ftumanchesterpub:oai:pure.atira.dk:publications/f52e8de3-1d33-45c1-9725-275e0516b170 2023-11-12T04:26:25+01:00 Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data Remazeilles, M. Dickinson, C. Eriksen, H.~K. Wehus, I.~K. 2018-03-01 application/pdf https://research.manchester.ac.uk/en/publications/f52e8de3-1d33-45c1-9725-275e0516b170 https://doi.org/10.1093/mnras/stx3046 https://pure.manchester.ac.uk/ws/files/64239254/1707.02981.pdf und unknown info:eu-repo/semantics/openAccess Remazeilles , M , Dickinson , C , Eriksen , H K & Wehus , I K 2018 , ' Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data ' , Monthly Notices of the Royal Astronomical Society , vol. 474 , pp. 3889-3897 . https://doi.org/10.1093/mnras/stx3046 gravitational lensing: weak polarization methods: analytical cosmic background radiation early Universe inflation article 2018 ftumanchesterpub https://doi.org/10.1093/mnras/stx3046 2023-10-30T09:14:39Z 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. Article in Journal/Newspaper South pole The University of Manchester: Research Explorer Monthly Notices of the Royal Astronomical Society 474 3 3889 3897 |
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The University of Manchester: Research Explorer |
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ftumanchesterpub |
language |
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topic |
gravitational lensing: weak polarization methods: analytical cosmic background radiation early Universe inflation |
spellingShingle |
gravitational lensing: weak polarization methods: analytical cosmic background radiation early Universe inflation Remazeilles, M. Dickinson, C. Eriksen, H.~K. Wehus, I.~K. Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data |
topic_facet |
gravitational lensing: weak polarization methods: analytical cosmic background radiation early Universe inflation |
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. |
format |
Article in Journal/Newspaper |
author |
Remazeilles, M. Dickinson, C. Eriksen, H.~K. Wehus, I.~K. |
author_facet |
Remazeilles, M. Dickinson, C. Eriksen, H.~K. Wehus, I.~K. |
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 |
publishDate |
2018 |
url |
https://research.manchester.ac.uk/en/publications/f52e8de3-1d33-45c1-9725-275e0516b170 https://doi.org/10.1093/mnras/stx3046 https://pure.manchester.ac.uk/ws/files/64239254/1707.02981.pdf |
genre |
South pole |
genre_facet |
South pole |
op_source |
Remazeilles , M , Dickinson , C , Eriksen , H K & Wehus , I K 2018 , ' Joint Bayesian estimation of tensor and lensing B modes in the power spectrum of CMB polarization data ' , Monthly Notices of the Royal Astronomical Society , vol. 474 , pp. 3889-3897 . https://doi.org/10.1093/mnras/stx3046 |
op_rights |
info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.1093/mnras/stx3046 |
container_title |
Monthly Notices of the Royal Astronomical Society |
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474 |
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3 |
container_start_page |
3889 |
op_container_end_page |
3897 |
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