Non-gaussianity at tree and one-loop levels from vector field perturbations

Details Non-gaussianity at tree and one-loop levels from vector field perturbations Non-gaussianity at tree and one-loop levels from vector field perturbations

2009-09-22

arxiv.org/abs/0909.4064v3

Phys.Rev.D80:103519,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

LaTeX file, 11 pages, Main body: 8 pages, References: 3 pages. v2: Minor corrections. References added. Conclusions unchanged.

Scientific paper

10.1103/PhysRevD.80.103519

We study the spectrum P_\zeta and bispectrum B_\zeta of the primordial curvature perturbation \zeta when the latter is generated by scalar and vector field perturbations. The tree-level and one-loop contributions from vector field perturbations are worked out considering the possibility that the one-loop contributions may be dominant over the tree level terms (both (either) in P_\zeta and (or) in B_\zeta) and viceversa. The level of non-gaussianity in the bispectrum, f_{NL}, is calculated and related to the level of statistical anisotropy in the power spectrum, g_\zeta. For very small amounts of statistical anisotropy in the power spectrum, the level of non-gaussianity may be very high, in some cases exceeding the current observational limit.

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