Non-gaussianity from the trispectrum and vector field perturbations
Abstract
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.
Keywords
Cite
@article{arxiv.0910.4208,
title = {Non-gaussianity from the trispectrum and vector field perturbations},
author = {Cesar A. Valenzuela-Toledo and Yeinzon Rodriguez},
journal= {arXiv preprint arXiv:0910.4208},
year = {2010}
}
Comments
LaTeX file, 12 pages, no figures. v2: Minor changes, conclusions unchanged. v3: Version accepted for publication in Physics Letters B