Planck 2018 results
Open Access

Fig. 4.

image

Posterior probability density of the tensor-to-scalar ratio at two different scales in the ΛCDM+r0.002 + r0.02 model, i.e., when the inflationary consistency relation is relaxed (top panels). The solid contours show the results when r0.002 and r0.02 are used as sampling parameters with uniform priors, which leads to non-uniform priors for the derived parameters r0.01 and nt (bottom panels). The dotted contours indicate the results after weighting the posterior by the Jacobian J = r0.01/[r0.002r0.02ln(0.02/0.002)] of the transformation (r0.002,  r0.02)→(r0.01,  nt), giving the result we would have obtained had we assigned uniform priors on r0.01 and nt.

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