%0 Journal Article
%T Optimal estimator for resonance bispectra in the CMB
%+ Institut d'Astrophysique de Paris (IAP)
%+ Université Paris Cité (UPCité)
%A Münchmeyer, Moritz
%A Meerburg, P. Daniel
%A Wandelt, Benjamin D.
%< avec comité de lecture
%J Physical Review D
%V 91
%8 2015
%D 2015
%Z 1412.3461
%Z 2015PhRvD..91d3534M
%R 10.1103/PhysRevD.91.043534
%K 98.80.-k
%K 98.80.Cq
%K 98.80.Es
%K Cosmology
%K Particle-theory and field-theory models of the early Universe
%K Observational cosmology
%K Astrophysics - Cosmology and Nongalactic Astrophysics
%Z Sciences of the Universe [physics]Journal articles
%X We propose an (optimal) estimator for a CMB bispectrum containing logarithmically spaced oscillations. There is tremendous theoretical interest in such bispectra, and they are predicted by a plethora of models, including axion monodromy models of inflation and initial state modifications. The number of resolved logarithmical oscillations in the bispectrum is limited due to the discrete resolution of the multipole bispectrum. We derive a simple relation between the maximum number of resolved oscillations and the frequency. We investigate several ways to factorize the primordial bispectrum, and conclude that a one-dimensional expansion in the sum of the momenta ∑k_{i}=k_{t} is the most efficient and flexible approach. We compare the expansion to the exact result in multipole space and show for ω_{eff}=100 that O (1 0^{3}) modes are sufficient for an accurate reconstruction. We compute the expected σ_{fNL} and find that within an effective field theory (EFT) the overall signal to noise scales as S /N ∝ω^{3 /2}. Using only the temperature data we find S /N ∼O (1 - 1 0^{2}) for the frequency domain set by the EFT.
%G English
%2 https://insu.hal.science/insu-03644760/document
%2 https://insu.hal.science/insu-03644760/file/PhysRevD.91.043534.pdf
%L insu-03644760
%U https://insu.hal.science/insu-03644760
%~ INSU
%~ CNRS
%~ IAP
%~ SORBONNE-UNIVERSITE
%~ SU-INF-2018
%~ SU-SCIENCES
%~ SU-TI
%~ ALLIANCE-SU