Lensinglike tensions in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mi>n</mml:mi><mml:mi>c</mml:mi><mml:mi>k</mml:mi></mml:math> legacy release
Pavel Motloch, Wayne Hu
Abstract
We analyze the final release of the Planck satellite data to constrain the gravitational lensing potential in a model-independent manner. The amount of lensing determined from the smoothing of the acoustic peaks in the temperature and polarization power spectra is $2\ensuremath{\sigma}$ too high when compared with the measurements using the lensing reconstruction and $2.8\ensuremath{\sigma}$ too high when compared with $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ expectation based on the ``unlensed'' portion of the temperature and polarization power spectra. The largest change from the previous data release is the $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$ expectation, driven by improved constraints to the optical depth to reionization. The anomaly still is inconsistent with actual gravitational lensing, given that the lensing reconstruction constraints are discrepant independent of the model. Within the context of $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$, improvements in its parameter constraints from lensing reconstruction bring this tension to $2.1\ensuremath{\sigma}$ and from further adding baryon acoustic oscillation and Pantheon supernova data to a marginally higher $2.2\ensuremath{\sigma}$. Once these other measurements are included, marginalizing this lensinglike anomaly cannot substantially resolve tensions with low-redshift measurements of ${H}_{0}$ and ${S}_{8}$ in $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}$, $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}+{N}_{\mathrm{eff}}$, or $\mathrm{\ensuremath{\Lambda}}\mathrm{CDM}+\ensuremath{\sum}{m}_{\ensuremath{\nu}}$; furthermore, the artificial strengthening of constraints on $\ensuremath{\sum}{m}_{\ensuremath{\nu}}$ is less than 20%.