Clocking the End of Cosmic Inflation
arxiv(2024)
Abstract
Making observable predictions for cosmic inflation requires determining when
the wavenumbers of astrophysical interest today exited the Hubble radius during
the inflationary epoch. These instants are commonly evaluated using the
slow-roll approximation and measured in e-folds Δ N=N-N_end, in
reference to the e-fold N_end at which inflation ended. Slow roll
being necessarily violated towards the end of inflation, both the approximated
trajectory and N_end are determined at, typically, one or two
e-folds precision. Up to now, such an uncertainty has been innocuous, but this
will no longer be the case with the forthcoming cosmological measurements. In
this work, we introduce a new and simple analytical method, on top of the usual
slow-roll approximation, that reduces uncertainties on Δ N to less than
a tenth of an e-fold.
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