Mutated hilltop inflation revisited
Abstract 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 $${\mathscr {W}}_{-1}$$ W-1 branch of the Lambert function. Depending on the model parameter mutated hilltop...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5856-3 |
| Summary: | Abstract 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 $${\mathscr {W}}_{-1}$$ W-1 branch of the Lambert function. Depending on the model parameter mutated hilltop model renders two types of inflationary solutions: 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. The small field branch predicts negligible amount of tensor to scalar ratio $$r\sim \mathscr {O}(10^{-4})$$ r∼O(10-4) , while the large field sector is capable of generating high amplitude for tensor perturbations, $$r\sim \mathscr {O}(10^{-1})$$ r∼O(10-1) . Also, the spectral index is almost independent of the model parameter along with a very small negative amount of scalar running. Finally we find that the mutated hilltop inflation closely resembles the $$\alpha $$ α -attractor class of inflationary models in the limit of $$\alpha \phi \gg 1$$ αϕ≫1 . |
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| ISSN: | 1434-6044 1434-6052 |