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arXiv · 1107.5362

Local Scale-Dependent Non-Gaussian Curvature Perturbations at Cubic Order

Joseph Bramante·Jason Kumar
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Abstract

We calculate non-Gaussianities in the bispectrum and trispectrum arising from the cubic term in the local expansion of the scalar curvature perturbation. We compute to three-loop order and for general momenta. A procedure for evaluating the leading behavior of the resulting loop-integrals is developed and discussed. Finally, we survey unique non-linear signals which could arise from the cubic term in the squeezed limit. In particular, it is shown that loop corrections can cause $f_{NL}^{sq.}$ to change sign as the momentum scale is varied. There also exists a momentum limit where $\tau_{NL} <0$ can be realized.

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Joseph Bramante, Jason Kumar. 2011-07-27. Local Scale-Dependent Non-Gaussian Curvature Perturbations at Cubic Order. https://doi.org/10.1088/1475-7516/2011/09/036

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