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PreprintCC BY 4.0arXiv

Probing Helical Primordial Magnetic Fields via Chiral Gravitational Waves in the LISA-TAIJI Network

Abstract

Primordial magnetic fields (PMFs) are anticipated to be a cosmological candidate for generating a stochastic gravitational wave background (SGWB) through their anisotropic stress. In particular, if parity violation is present in the production of PMFs, it can induce a helical component in the PMFs, leading to circular polarization in the isotropic SGWB. In this study, we phenomenologically consider parity-violating inflationary magnetogenesis and compute the intensity and circular polarization of the SGWB for several assumed power spectra of helical PMFs. Using the planned sensitivity of the LISA-TAIJI network, we calculate the signal-to-noise ratio (SNR) and perform a Fisher forecast to assess the feasibility of constraining the parameters of helical PMFs. We conclude that it is possible to estimate the helical-to-non-helical power ratio~rH with SNRV>2 if the PMF strength is ℬ ≳ 10 nG (50 nG) in the case of the delta-function-type (scale-invariant-type) PMF spectrum. Our results offer a useful criterion that indicates the future observational limit on helical PMFs at the small scale kLISA ≈ 1012 Mpc−1.

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BibTeX
@misc{furusawa2026probing,
  title = {{Probing Helical Primordial Magnetic Fields via Chiral Gravitational Waves in the LISA-TAIJI Network}},
  author = {Kazuya Furusawa and Hiroyuki Tashiro},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39208},
  eprint = {2609.39208},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39208},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Probing Helical Primordial Magnetic Fields via Chiral Gravitational Waves in the LISA-TAIJI Network
AU  - Kazuya Furusawa
AU  - Hiroyuki Tashiro
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39208
UR  - https://arxiv.org/abs/2609.39208
AB  - Primordial magnetic fields (PMFs) are anticipated to be a cosmological candidate for generating a stochastic gravitational wave background (SGWB) through their anisotropic stress. In particular, if parity violation is present in the production of PMFs, it can induce a helical component in the PMFs, leading to circular polarization in the isotropic SGWB. In this study, we phenomenologically consider parity-violating inflationary magnetogenesis and compute the intensity and circular polarization of the SGWB for several assumed power spectra of helical PMFs. Using the planned sensitivity of the LISA-TAIJI network, we calculate the signal-to-noise ratio (SNR) and perform a Fisher forecast to assess the feasibility of constraining the parameters of helical PMFs. We conclude that it is possible to estimate the helical-to-non-helical power ratio~r_H with SNR^V>2 if the PMF strength is ℬ ≳ 10 nG (50 nG) in the case of the delta-function-type (scale-invariant-type) PMF spectrum. Our results offer a useful criterion that indicates the future observational limit on helical PMFs at the small scale k_LISA ≈ 10^12 Mpc^−1.
ER  -