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Slides from the talk - CP3-Origins

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The CMB Bispectrum<br />

The Bispectrum of <strong>the</strong> CMB is <strong>the</strong> most<br />

direct probe of <strong>the</strong> initial bispectrum<br />

B l1 l 2 l 3<br />

<br />

∼<br />

B Φ (k 1 ,k 2 ,k 3 )∆ l1 (k 1 )∆ l2 (k 2 )∆ l3 (k 3 )j l1 (k 1 r)j l2 (k 2 r)j l3 (k 3 r)<br />

CMB angular<br />

bispectrum<br />

curvature<br />

bispectrum<br />

transfer<br />

functions<br />

• The CMB provides a snapshot of density perturbations at early times<br />

• Power spectrum measurements (Clʼs) are matched by linear predictions (so far)<br />

• The CMB bispectrum is an optimal estimator for <strong>the</strong> fNL parameter<br />

No evidence (yet)!<br />

(despite 2-sigma “hints” in<br />

previous data releases ...)<br />

WMAP 7 years:<br />

Local -10 < fNL < 74<br />

Equilateral -214 < fNL < 266<br />

Orthogonal -410 < fNL < 6<br />

@ 95% CL Komatsu et al. (2011)<br />

The CMB bispectrum is equally sensitive to any model of non-Gaussianity

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