Planck 2018 results
Open Access

Table 9.

Parameters of the free-form potential reconstruction analysis and details of the priors.

Parameters Prior type Prior range
N Discrete uniform [0, 8]
lnV* Uniform [ − 25, −15]
dlnV*/dϕ Log-uniform [10−3, 10−0.3]
d2lnV1/dϕ2, …, d2lnVN/dϕ2 Uniform [ − 0.5, 0.5]
ϕ1, …, ϕN Sorted uniform
ln1010𝒫(k) Indirect constraint [2,4]

Notes. There is a further prior constraint in that we require that the inflaton should evolve in an inflating phase throughout the observable window, that the inflaton should be rolling downhill from negative to positive ϕ throughout, and that any primordial power spectra generated sit in the range 2 <  ln1010𝒫(k) < 4.

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