Observable range of the best fitting inflaton potentials, when V(φ) is Taylor expanded to nth order around the pivot value φ∗, in natural units (where assuming a flat prior on ϵV, ηV, , and , and using Planck+WP data. Potentials obtained under the transformation (φ − φ∗) → (φ∗ − φ) leave the same observable signature and are also allowed. The sparsity of potentials with a small V0 = V(φ∗) is explained by the flat prior on ϵV rather than on ln(V0). In fact, V0 is unbounded from below.
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