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PreprintCC0arXiv

Cross-Bispectrum Constraints from HI Intensity Mapping and Galaxy Surveys

Abstract

Future neutral hydrogen (HI) intensity mapping (IM) and optical surveys probe large-scale structure over unprecedented volumes, offering powerful constraints on cosmological models. We study the cross-correlation between the HI IM field and the galaxy density and cosmic shear fields from optical surveys. By formulating the HI-HI-galaxy and HI-HI-shear cross-bispectra, we recover sensitivity to long-wavelength radial modes otherwise removed by foreground subtraction in HI maps, evaluating their detectability for HIRAX and Rubin-LSST. Combining the probes breaks degeneracies in redshift-dependent quantities, including the f-σ8 degeneracy. Our constraints range from 0.74% to 9.8% on f and 0.073% to 3.5% on σ8 across the six redshift bins that we consider. Our constraints on the first- and second-order HI bias parameters range from 0.42% to 5.6% on bHI(1) and from 2.0% to 29% on bHI(2), while the galaxy bias constraints range from 2.6% to 11% on bgal. The HI-HI-galaxy density cross-bispectrum measurement allows us to constrain a linear scale-dependent model for the stochastic cross-correlation coefficient between HI and stars, rHI HI δg = r0 + r1 k, with a break scale of 0.14 Mpc−1. We obtain r0 constraints that range from 3.8% to 13.5% and r1 constraints that range from 7.5% to 19.9%. For cosmology, adding cross-bispectra enhances Lambda CDM constraints, notably via the HI-HI-shear cross-bispectrum. For the w0 waCDM model, the power-spectrum-only constraints on w0 and wa, including Planck priors, improve from (σw0,σwa)=(0.036,0.15) and $(0.032,0.12)$ to (σw0,σwa)=(0.014,0.057) and $(0.015,0.059)$ when adding the HI-HI-galaxy and HI-HI-shear cross-bispectra, respectively.

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BibTeX
@misc{naidoo2026crossbispectrum,
  title = {{Cross-Bispectrum Constraints from HI Intensity Mapping and Galaxy Surveys}},
  author = {Warren Naidoo and Moumita Aich and Kavilan Moodley},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25389},
  eprint = {2609.25389},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25389},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Cross-Bispectrum Constraints from HI Intensity Mapping and Galaxy Surveys
AU  - Warren Naidoo
AU  - Moumita Aich
AU  - Kavilan Moodley
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.25389
UR  - https://arxiv.org/abs/2609.25389
AB  - Future neutral hydrogen (HI) intensity mapping (IM) and optical surveys probe large-scale structure over unprecedented volumes, offering powerful constraints on cosmological models. We study the cross-correlation between the HI IM field and the galaxy density and cosmic shear fields from optical surveys. By formulating the HI-HI-galaxy and HI-HI-shear cross-bispectra, we recover sensitivity to long-wavelength radial modes otherwise removed by foreground subtraction in HI maps, evaluating their detectability for HIRAX and Rubin-LSST. Combining the probes breaks degeneracies in redshift-dependent quantities, including the f-σ_8 degeneracy. Our constraints range from 0.74% to 9.8% on f and 0.073% to 3.5% on σ_8 across the six redshift bins that we consider. Our constraints on the first- and second-order HI bias parameters range from 0.42% to 5.6% on b_HI^(1) and from 2.0% to 29% on b_HI^(2), while the galaxy bias constraints range from 2.6% to 11% on b_gal. The HI-HI-galaxy density cross-bispectrum measurement allows us to constrain a linear scale-dependent model for the stochastic cross-correlation coefficient between HI and stars, r_HI HI δ_g = r_0 + r_1 k, with a break scale of 0.14 Mpc^−1. We obtain r_0 constraints that range from 3.8% to 13.5% and r_1 constraints that range from 7.5% to 19.9%. For cosmology, adding cross-bispectra enhances Lambda CDM constraints, notably via the HI-HI-shear cross-bispectrum. For the w_0 w_aCDM model, the power-spectrum-only constraints on w_0 and w_a, including Planck priors, improve from (σ_w_0,σ_w_a)=(0.036,0.15) and $(0.032,0.12)$ to (σ_w_0,σ_w_a)=(0.014,0.057) and $(0.015,0.059)$ when adding the HI-HI-galaxy and HI-HI-shear cross-bispectra, respectively.
ER  -