On the discriminating power of f_NL

Details On the discriminating power of f_NL On the discriminating power of f_NL

2012-01-04

arxiv.org/abs/1201.0926v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

5 pages, 5 figures

Scientific paper

We present the first complete calculation of the parameter f_NL, a quantity introduced to characterize the extent of non-Gaussianity, for a variety of single field inflationary models that lead to features in the scalar power spectrum. The calculation is performed numerically by means of a new, efficient and accurate Fortran code that can evaluate all the contributions to the bi-spectrum in any configuration. We consider different sets of models that lead to similar features in the scalar power spectrum, and investigate if f_NL^{eq} (viz. f_NL evaluated in the equilateral configuration) can help us discriminate between the models. We find that certain differences in the background dynamics - reflected in the behavior of the slow roll parameters - can lead to a reasonably large difference in the f_NL^{eq} generated by the models. We close with a discussion on the implications of the results we obtain.

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