Quartic hilltop inflation revisited. (arXiv:2011.12804v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+German_G/0/1/0/all/0/1">Gabriel German</a>
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 $n_s$ and the tensor-to-scalar ratio $r$. 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 is given. This procedure also allows us 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 $n_s$ and $r$ they will continue to narrow as the measurements of the
observables $n_s$ and $r$ become more sensitive.
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 $n_s$ and the tensor-to-scalar ratio $r$. 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 is given. This procedure also allows us 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 $n_s$ and $r$ they will continue to narrow as the measurements of the
observables $n_s$ and $r$ become more sensitive.
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