Optimal constraints on primordial gravitational waves from the lensed CMB

Carron, Julien

doi:10.1103/PhysRevD.99.043518

Optimal constraints on primordial gravitational waves from the lensed CMB

Journal Article · Wed Feb 13 00:00:00 EST 2019 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.99.043518· OSTI ID:1544114

Carron, Julien ^[1]

Univ. of Sussex, Brighton (United Kingdom)

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.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1544114

Alternate ID(s):: OSTI ID: 1494651

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 4 Vol. 99; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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