Optimal constraints on primordial gravitational waves from the lensed CMB
Abstract
We demonstrate how to obtain optimal constraints on a primordial gravitational wave component in lensed Cosmic Microwave Background (CMB) data under ideal conditions. We first derive an estimator of the tensorto- scalar ratio, r, by using an error-controlled close approximation to the exact posterior, under the assumption of Gaussian primordial CMB and lensing deflection potential. This combines fast internal iterative lensing reconstruction with optimal recovery of the unlensed CMB. We evaluate its performance on simulated lownoise polarization data targeted at the recombination peak. We carefully demonstrate our r-posterior estimate is optimal and shows no significant bias, making it the most powerful estimator of primordial gravitational waves from the CMB. We compare these constraints to those obtained from B-mode band-power likelihood analyses on the same simulated data, before and after map-level quadratic estimator delensing, and iterative delensing. Internally, iteratively delensed band powers are only slightly less powerful on average (by less than 10%), promising close-to-optimal constraints from a stage IV CMB experiment.
- Authors:
-
- Univ. of Sussex, Brighton (United Kingdom)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1544114
- Alternate Identifier(s):
- OSTI ID: 1494651
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 4; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Carron, Julien. Optimal constraints on primordial gravitational waves from the lensed CMB. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.043518.
Carron, Julien. Optimal constraints on primordial gravitational waves from the lensed CMB. United States. https://doi.org/10.1103/PhysRevD.99.043518
Carron, Julien. Wed .
"Optimal constraints on primordial gravitational waves from the lensed CMB". United States. https://doi.org/10.1103/PhysRevD.99.043518. https://www.osti.gov/servlets/purl/1544114.
@article{osti_1544114,
title = {Optimal constraints on primordial gravitational waves from the lensed CMB},
author = {Carron, Julien},
abstractNote = {We demonstrate how to obtain optimal constraints on a primordial gravitational wave component in lensed Cosmic Microwave Background (CMB) data under ideal conditions. We first derive an estimator of the tensorto- scalar ratio, r, by using an error-controlled close approximation to the exact posterior, under the assumption of Gaussian primordial CMB and lensing deflection potential. This combines fast internal iterative lensing reconstruction with optimal recovery of the unlensed CMB. We evaluate its performance on simulated lownoise polarization data targeted at the recombination peak. We carefully demonstrate our r-posterior estimate is optimal and shows no significant bias, making it the most powerful estimator of primordial gravitational waves from the CMB. We compare these constraints to those obtained from B-mode band-power likelihood analyses on the same simulated data, before and after map-level quadratic estimator delensing, and iterative delensing. Internally, iteratively delensed band powers are only slightly less powerful on average (by less than 10%), promising close-to-optimal constraints from a stage IV CMB experiment.},
doi = {10.1103/PhysRevD.99.043518},
journal = {Physical Review D},
number = 4,
volume = 99,
place = {United States},
year = {Wed Feb 13 00:00:00 EST 2019},
month = {Wed Feb 13 00:00:00 EST 2019}
}
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Works referencing / citing this record:
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- Physical Review D, Vol. 100, Issue 12