Planck 2013 results
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Table 5

Constraints on the primordial perturbation parameters for ΛCDM + dns/ dlnk, ΛCDM + dns/ dlnk + r, and ΛCDM + dns/ dlnk + d2ns/ dlnk2 models from Planck combined with other data sets.

Model Parameter Planck+WP Planck+WP+lensing Planck+WP+high- Planck+WP+BAO

ΛCDM + dns/ dlnk n s 0.9561 ± 0.0080 0.9615 ± 0.0072 0.9548 ± 0.0073 0.9596 ± 0.0063
dns/ dlnk −0.0134 ± 0.0090 −0.0094 ± 0.0085 −0.0149 ± 0.0085 −0.0130 ± 0.0090
−2Δlnℒmax –1.50 –0.77 –2.95 –1.45

ΛCDM + dns/ dlnk + d2ns/ dlnk2 n s
dns/ dlnk
d2ns/ dlnk2
−2Δlnℒmax –2.65 –2.14 –5.42 –2.40

ΛCDM + r + dns/ dlnk n s 0.9583 ± 0.0081 0.9633 ± 0.0072 0.9570 ± 0.0075 0.9607 ± 0.0063
r < 0.25 < 0.26 < 0.23 < 0.25
dns/ dlnk −0.021 ± 0.012 −0.017 ± 0.012
−2Δlnℒmax –1.53 –0.26 –3.25 –1.5

Notes. Constraints on the spectral index and its dependence on the wavelength are given at the pivot scale of k = 0.05 Mpc-1.

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