Testing parity symmetry with the polarized cosmic microwave background
Oliver H. E. Philcox, Maresuke Shiraishi
Abstract
New physics in the early Universe could lead to parity-violation in the late Universe, sourcing statistics whose sign changes under point reflection. The best constraints on such phenomena have come from the Planck temperature fluctuations; however, this is already cosmic-variance limited down to relatively small scales. Thus only small improvements are expected in the future. Here, we search for signatures of parity violation in the polarized cosmic microwave background, using the Planck PR4 $T$- and $E$-mode data. We perform both a simulation-based blind test for any parity-violating signal at $\ensuremath{\ell}<518$, and a targeted search for primordial $U(1)$ gauge fields (and the amplitudes of a generic collapsed model) at $\ensuremath{\ell}<2000$. In all cases, we find no evidence for new physics, with the model-independent test finding consistency with the $\mathrm{FFP}10/\mathrm{NPIPE}$ simulation suite at $(\ensuremath{-})0.4\ensuremath{\sigma}$, and the gauge field test constraining the fractional amplitude of gauge fields during inflation to be below $6\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}19}$ at 95% confidence level for a fiducial model. The addition of polarization data can significantly improve the constraints, depending on the particular model of primordial physics, and the bounds will tighten significantly with the inclusion of smaller-scale information.