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Testing Parity Symmetry with the Polarized Cosmic Microwave Background
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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 CMB, using the Planck PR4 $T$- and $E$-mode data. We perform both a simulation-based blind test for any parity-violating signal at $\ell<518$, and a targeted search for primordial $U(1)$ gauge fields (and the amplitudes of a generic collapsed model) at $\ell<2000$. In all cases, we find no evidence for new physics, with the model-independent test finding consistency with the FFP10/NPIPE simulation suite at $(-)0.4\sigma$, and the gauge field test constraining the fractional amplitude of gauge fields during inflation to be below $6\times 10^{-19}$ 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.
Forward citations
Cited by 3 Pith papers
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Parity-violating scalar trispectrum from helical primordial magnetic fields
Helical primordial magnetic fields produce a computable parity-odd signal in the scalar trispectrum, currently constrained to r_H ≲ 4×10^-4 for B_r = 4.7 nG.
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Parity-odd Four-Point Correlation Function from DESI Data Release 1 Luminous Red Galaxy Sample
The parity-odd four-point correlation function measured in DESI DR1 LRGs is consistent with zero after correcting for survey-induced covariance mismatches.
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CMB Lensing Trispectrum as a Probe of Parity Violation in LSS
The CMB lensing trispectrum is sensitive to parity violation in large-scale structure, and a parity-odd toy model predicts a detectable signal in idealized noiseless forecasts.
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