Abstract
This paper presents and investigates non-Gaussian perturbations for the warm $k$-inflation model that is driven by pure kinetic energy. The two complementary components of the overall non-Gaussianity are the three-point and four-point correlations. The intrinsic non-Gaussian component, denoted as the nonlinear parameter ${f}_{NL}^{\mathrm{int}}$, is rooted in the three-point correlation for the inflaton field. Meanwhile, the $\ensuremath{\delta}N$ part non-Gaussianity, denoted as ${f}_{NL}^{\ensuremath{\delta}N}$, is the contribution attributed to the four-point correlation function of the inflaton field. In this paper, the above two components in warm $k$-inflation are individually computed and analyzed under the condition that the dissipative coefficient in warm inflation is temperature independent. Then, comparisons and discussions between them are conducted, and the non-Gaussian theoretical results are compared with experimental observations to determine the range of model parameters within the allowable range of observation.
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