English

Quartic hilltop inflation revisited

Cosmology and Nongalactic Astrophysics 2021-03-03 v2 General Relativity and Quantum Cosmology

Abstract

We implement a procedure by which the parameters present in the potential of Quartic Hilltop Inflation (QHI) are eliminated in favor of the scalar spectral index nsn_s and the tensor-to-scalar ratio rr. By doing this it is posible to obtain in a straightforward and simple way the equations of a previous analysis where an analytical treatment of QHI in the large field limit is given. This procedure also allows a more precise discussion of general properties of the model. Also, using a constraint from the reheating epoch it is possible to find bounds for the parameters of the model as well as for quantities of interest such as the running of the scalar index, the reheating temperature and the inflationary scale. Since the bounds found come from expressions given exclusively in terms of nsn_s and rr they will continue to narrow as the measurements of the observables nsn_s and rr become more sensitive.

Keywords

Cite

@article{arxiv.2011.12804,
  title  = {Quartic hilltop inflation revisited},
  author = {Gabriel German},
  journal= {arXiv preprint arXiv:2011.12804},
  year   = {2021}
}

Comments

14 pages, 5 figures. Accepted for publication in JCAP. Small changes to match the accepted version

R2 v1 2026-06-23T20:30:24.501Z