3 years ago

Mutated hilltop inflation revisited.

Barun Kumar Pal

In this work we re-investigate pros and cons of mutated hilltop inflation. Applying Hamilton-Jacobi formalism we solve inflationary dynamics and find that inflation goes on along the ${\cal W}_{-1}$ branch of the Lambert function. Depending on the model parameter mutated hilltop model renders two types of inflationary solution: one corresponds to small inflaton excursion during observable inflation and the other describes large field inflation. The inflationary observables from curvature perturbation are in tune with the current data for a wide range of the model parameter, $0<\alpha{\rm M_P} \leq \sqrt{11+5\sqrt{5}}$. The small field branch predicts negligible amount of tensor to scalar ratio $r\sim \mathcal{O}(10^{-4})$, while the large field sector is capable of generating high amplitude for tensor perturbations, $r\sim \mathcal{O}(10^{-1})$. Further we see that the spectral index is almost independent of the model parameter along with a very small negative amount of scalar running.

Publisher URL: http://arxiv.org/abs/1711.00833

DOI: arXiv:1711.00833v1

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