Speaker
Mr
Sreenath Vijayakumar
(Indian Institute of Technology Madras)
Description
The detection of the imprints of the primordial tensor perturbations by BICEP2 and its indication of a rather high tensor-to-scalar ratio, if confirmed, can open up a new window for understanding the tensor perturbations, not only at the level of the power spectrum, but also in the realm of non-Gaussianities. In this work, we consider the consistency relations associated with the three-point cross-correlations involving scalars and tensors as well as the tensor bi-spectrum in inflationary models driven by a single, canonical, scalar field. Characterizing the cross-correlations in terms of the dimensionless non-Gaussianity parameters that we had introduced earlier, we express the consistency relations governing the cross-correlations as relations between these non-Gaussianity parameters and the scalar or tensor spectral indices, in a fashion similar to that of the purely scalar case. We also discuss the corresponding relation for the non-Gaussianity parameter used to describe the tensor bi-spectrum. We analytically and numerically establish these consistency relations explicitly in a variety of inflationary models, including those that permit deviations from slow roll and lead to features in the scalar power spectrum.
Primary author
Mr
Sreenath Vijayakumar
(Indian Institute of Technology Madras)
Co-author
Prof.
Sriramkumar Lakshmanan
(Indian Institute of Technology Madras)
