Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling

In this paper, the scenario of noncanonical warm inflation with nonminimal derivative coupling is introduced, and its primordial non-Gaussianity of perturbations on uniform energy density hypersurfaces is systematically analyzed. The total non-Gaussianity has two complementary components: the three-point correlation denoted by fⁱⁿᵗNL f NL int , and the four-point correlation denoted by fNLδ N f NL δ N . The three-point correlation dominates, and it comes from the intrinsic non-Gaussianity of the inflaton field. In contrast, the four-point correlation is a slow-roll suppressed quantity, which originates from the four-point correlation function of the major Gaussian-part inflaton perturbation and is determined by the background dynamics. These two components of non-Gaussianity are analytically calculated under slow-roll conditions within the noncanonical warm inflation framework with nonminimal derivative coupling. The combined effects of nonminimal derivative coupling, noncanonical kinetic structure, and thermal dissipation crucially determine the non-Gaussian signature, revealing a distinct interplay absent in either cold or minimal warm inflation models. Additionally, comparisons and discussions of these components and the total non-Gaussianity are presented.