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Limits on f_NL parameters from WMAP 3yr data Export

(19 Oct 2006)

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constraints inflation nongaussianities

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We analyze the 3-year WMAP data and look for a deviation from Gaussianity in the form of a 3-point function that has either of the two theoretically motivated shapes: local and equilateral. There is no evidence of departure from Gaussianity and the analysis gives the presently tightest bounds on the parameters f_ NL^local and f_NL^equil., which define the amplitude of respectively the local and the equilateral non-Gaussianity: -36 < f_NL^local < 100, -256 < f_NL^equil. < 332 at 95% C.L. In models with modified kinetic term for the inflaton, like DBI inflation, where a large equilateral non-Gaussianity is related to a reduced speed of sound c_s, our analysis gives the lower bound: c_s > 0.028 (at 95% C.L.).


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