Polarization bispectrum for measuring primordial magnetic fields

Abstract

We examine the potential of polarization bispectra of the cosmic microwave background (CMB) to constrain primordial magnetic fields (PMFs). We compute all possible bispectra between temperature and polarization anisotropies sourced by PMFs and show that they are weakly correlated with well-known local-type and secondary ISW-lensing bispectra. From a Fisher analysis it is found that, owing to E-mode bispectra, in a cosmic-variance-limited experiment the expected uncertainty in the amplitude of magnetized bispectra is 80% improved in comparison with an analysis in terms of temperature auto-bispectrum alone. In the $Planck$ or the proposed PRISM experiment cases, we will be able to measure PMFs with strength 2.6 or 2.2 nG. PMFs also generate bispectra involving B-mode polarization, due to tensor-mode dependence. We also find that the B-mode bispectrum can reduce the uncertainty more drastically and hence PMFs comparable to or less than 1 nG may be measured in a PRISM-like experiment.

18 pages, 7 figures. Accepted for publication in JCAP

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• Tensor Non-Gaussianity Search: Current Status and Future Prospects
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• Mixed Non-Gaussianity from Axion-Gauge Field Dynamics
• Searching for Primordial Magnetic Fields with CMB B-modes
• Parity Violating Non-Gaussianity from Axion-Gauge Field Dynamics
• CMB bounds on tensor-scalar-scalar inflationary correlations
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• LiteBIRD Science Goals and Forecasts: Primordial Magnetic Fields
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