Planck2015 results

Abstract

We present the most significant measurement of the cosmic microwave background (CMB) lensing potential to date (at a level of 40σ), using temperature and polarization data from the Planck 2015 full-mission release. Using a polarization-only estimator, we detect lensing at a significance of 5σ. We cross-check the accuracy of our measurement using the wide frequency coverage and complementarity of the temperature and polarization measurements. Public products based on this measurement include an estimate of the lensing potential over approximately 70% of the sky, an estimate of the lensing potential power spectrum in bandpowers for the multipole range 40 ≤ L ≤ 400, and an associated likelihood for cosmological parameter constraints. We find good agreement between our measurement of the lensing potential power spectrum and that found in the ΛCDM model that best fits the Planck temperature and polarization power spectra. Using the lensing likelihood alone we obtain a percent-level measurement of the parameter combination σ 8 Ω 0.25 m = 0.591 ± 0.021. We combine our determination of the lensing potential with the E-mode polarization, also measured by Planck, to generate an estimate of the lensing B-mode. We show that this lensing B-mode estimate is correlated with the B-modes observed directly by Planck at the expected level and with a statistical significance of 10σ, confirming Planck's sensitivity to this known sky signal. We also correlate our lensing potential estimate with the large-scale temperature anisotropies, detecting a cross-correlation at the 3σ level, as expected because of dark energy in the concordance ΛCDM model.

Status of Neutrino Properties and Future Prospects—Cosmological and Astrophysical Constraints

“…The Planck collaboration also provides the most significant measurements of the CMB lensing potential power spectrum for the multipole range 40 < L < 400 (labeled as "lensing") [113]. When this dataset is included in the analysis, the 95% CL constraints on m ν become: m ν < 0.68 eV for Planck TT+lowP+lensing and m ν < 0.59 eV for Planck TT,TE,EE+lowP+lensing [14].…”

Maximum a posteriori CMB lensing reconstruction

“…For the Planck curve, we cut at 2048, following the public analysis [37]. Shown are the delensing efficiencies expected for the MV quadratic estimator (dashed color) and the iterated, converged solution (solid).…”

“…After the first direct detection of lensing in the CMB by the ACT team [2], the SPT [3], POLARBEAR [4], SPTpol [5], BICEP2-KECK [6] and Planck [7] collaborations have also reported the detection of the lensing signal and published band-powers. The most decisive detection yet was by the Planck satellite [8]: its full-sky coverage comes with a statistical power that simply cannot be matched at the present time.…”

“…It can be implemented using a small number of harmonic transforms [8,25], keeping the overall numerical cost under control (dominated in the Planck analysis by the cost of the inverse-variance filtering step). It seems unavoidable that alternative more optimal approaches must be substantially more costly, and our implementation is no exception.…”

Asymmetric dark matter: residual annihilations and self-interactions

“…Cold DM can explain the galactic rotation curves [1,2], velocities of galaxies in clusters [3], lensing observations [4,5], and the combination of observations (X -ray, lensing, visible) in galaxy cluster collisions [6]. Further evidence comes courtesy of the acoustic peaks in the CMB.…”