Non-gaussianity from the trispectrum and vector field perturbations

Details Non-gaussianity from the trispectrum and vector field perturbations Non-gaussianity from the trispectrum and vector field perturbations

2009-10-22

arxiv.org/abs/0910.4208v3

Phys.Lett.B685:120-127,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

LaTeX file, 12 pages, no figures. v2: Minor changes, conclusions unchanged. v3: Version accepted for publication in Physics Le

Scientific paper

10.1016/j.physletb.2010.01.060

We use the \delta N formalism to study the trispectrum T_\zeta of the primordial curvature perturbation \zeta when the latter is generated by vector field perturbations, considering the tree-level and one-loop contributions. The order of magnitude of the level of non-gaussianity in the trispectrum, \tau_{NL}, is calculated in this scenario and related to the order of magnitude of the level of non-gaussianity in the bispectrum, f_{NL}, and the level of statistical anisotropy in the power spectrum, g_\zeta. Such consistency relations will put under test this scenario against future observations. Comparison with the expected observational bound on \tau_{NL} from WMAP, for generic inflationary models, is done.

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