Repository logo

Planck 2018 results: VIII. Gravitational lensing

Accepted version



Change log


Aghanim, N 
Akrami, Y 
Ashdown, M 
Aumont, J 
Baccigalupi, C 


We present measurements of the cosmic microwave background (CMB) lensing potential using the final Planck 2018 temperature and polarization data. We increase the significance of the detection of lensing in the polarization maps from 5σ to 9σ. Combined with temperature, lensing is detected at 40σ. We present an extensive set of tests of the robustness of the lensing-potential power spectrum, and construct a minimum-variance estimator likelihood over lensing multipoles 8≤L≤400. We find good consistency between lensing constraints and the results from the Planck CMB power spectra within the ΛCDM model. Combined with baryon density and other weak priors, the lensing analysis alone constrains σ8Ωm0.25=0.589±0.020 (1σ errors). Also combining with baryon acoustic oscillation (BAO) data, we find tight individual parameter constraints, σ8=0.811±0.019, H0=67.9−1.3+1.2kms−1Mpc−1, and Ωm=0.303−0.018+0.016. Combining with Planck CMB power spectrum data, we measure σ8 to better than 1% precision, finding σ8=0.811±0.006. We find consistency with the lensing results from the Dark Energy Survey, and give combined lensing-only parameter constraints that are tighter than joint results using galaxy clustering. Using Planck cosmic infrared background (CIB) maps we make a combined estimate of the lensing potential over 60% of the sky with considerably more small-scale signal. We demonstrate delensing of the Planck power spectra, detecting a maximum removal of 40% of the lensing-induced power in all spectra. The improvement in the sharpening of the acoustic peaks by including both CIB and the quadratic lensing reconstruction is detected at high significance (abridged).



gravitational lensing: weak, cosmological parameters, cosmic background radiation, large-scale structure of Universe, cosmology: observations

Journal Title

Astronomy and Astrophysics

Conference Name

Journal ISSN


Volume Title



EDP Sciences
Science and Technology Facilities Council (ST/N000927/1)