Abstract
We estimate the chirality of the cosmological medium due to parity violating decays of standard model particles, focusing on the example of tau leptons. The non-trivial chirality is however too small to make a significant contribution to the cosmological magnetic field via the chiral-magnetic effect.
Highlights
The last few decades have seen growing interest in cosmic magnetic fields on several fronts [1]
We have shown that the decays of certain Standard Model particles can lead to a chiral cosmological plasma around the epoch of the electroweak phase transition
The asymmetry is suppressed by the lepton to photon ratio and the effect on magnetic field helicity generation is very weak as we have shown in Sec
Summary
The last few decades have seen growing interest in cosmic magnetic fields on several fronts [1]. There are claims of a parity violating signature that can be used to measure the magnetic field helicity spectrum [20,21] though with no significant detections as yet [22,23]. In parallel to these developments, motivated by heavyion collision experiments [24], there has been renewed interest in chiral effects in plasmas, namely the chiralmagnetic [25] and chiral-vortical [26] effects (CME and CVE respectively).
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