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General CMB bispectrum analysis using wavelets and separable modes

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posted on 2023-06-08, 18:13 authored by Donough Regan, Pia Mukherjee, David SeeryDavid Seery
In this paper we combine partial-wave (`modal') methods with a wavelet analysis of the CMB bispectrum. Our implementation exploits the advantages of both approaches to produce robust, reliable and efficient estimators which can constrain the amplitude of arbitrary primordial bispectra. This will be particularly important for upcoming surveys such as \emph{Planck}. A key advantage is the computational efficiency of calculating the inverse covariance matrix in wavelet space, producing an error bar which is close to optimal. We verify the efficacy and robustness of the method by applying it to WMAP7 data, finding \fnllocal=38.4 \pm 23.6 and \fnlequil=-119.2 \pm 123.6.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Physical Review D

ISSN

1550-7998

Publisher

American Physical Society

Volume

88

Page range

043512-1-043512-17

Department affiliated with

  • Physics and Astronomy Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-09-08

First Open Access (FOA) Date

2014-09-08

First Compliant Deposit (FCD) Date

2014-09-07

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