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Probing baryonic feedback and cosmology with 3$\times$2-point statistic of FRBs and galaxies
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abstract
The impact of galaxy formation processes on the matter power spectrum is uncertain and may bias cosmological parameters inferred by large-scale structure surveys. Fast Radio Bursts (FRBs), through their dispersion measures (DMs) encoding the integrated column density of baryons, offer a unique window into the distribution of gas. In this work, we investigate the constraining power of a 3x2-point correlation statistic of FRB DMs and galaxies. We present the correlation formalism, derive covariance matrices and forecast signal-to-noise ratios and Fisher parameter constraints. Assuming host galaxy DM variance of 90 pc cm$^{-3}$, for $10^4$ ($10^5$) FRBs across 35% of the sky, the angular DM power spectrum is noise dominated at multipoles $\ell \gtrsim 20$ ($\ell \gtrsim 100$), which implies that the analysis can be conducted using arcmin-scale localizations, where the redshift distribution of the FRB population can be modeled through the FRB luminosity function or FRB position cross-correlations with galaxies. We show that while $10^4$ ($10^5$) FRB DM correlations can constrain cosmological parameters at 40-70% (30-40%) level, this is a factor of 2-3 (1.5-2) weaker than the precision attainable with galaxy clustering alone due to shot noise from the limited FRB number density, variance of the field and host DMs. On the contrary, feedback-sensitive scales are not accessible in galaxy surveys. We demonstrate that combining FRB DMs and galaxies auto- and cross-correlations in a 3x2-point analysis breaks feedback-cosmology degeneracies, yielding 10-18% (7-13%) precision on cosmological parameters and 3% (2%) constraints on feedback using $10^4$ ($10^5$) FRBs. This work positions the 3x2-point statistic of FRB DMs and galaxies as a promising multi-probe strategy, bridging the gap between constraining astrophysical feedback models and precise measurement of cosmological parameters.
Forward citations
Cited by 7 Pith papers
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The One-Loop Power Spectrum of Fast Radio Burst Dispersion Measures
A one-loop EFT power spectrum model for FRB free-electron clustering matches FLAMINGO simulations to k ~ 0.2 h/Mpc, with electron bias b_e ~ 0.92 and near-perfect electron-matter correlation.
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Analytical covariances for catalogue-based pseudo-$C_\ell$s
A new analytic method computes disconnected covariance matrices for catalogue-based pseudo-Cℓ power spectra by smoothing source positions and treating self-pair shot noise exactly.
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Measurement of angular cross-correlation between the cosmological dispersion measure and the thermal Sunyaev--Zeldovich effect
First detection of an angular cross-correlation between FRB dispersion measure and the thermal SZ y-map: amplitude A≈2 relative to the fiducial halo-model prediction (4.0σ for Planck, 1.5σ for ACT).
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Fast radio burst dispersion is an unbiased tracer of matter on large scales
FRB dispersion is an approximately unbiased tracer of matter on linear scales, enabling direct constraints on the baryonic parameter B8 independently of feedback and with statistical power comparable to weak lensing u...
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Signatures of Suppressed Matter Clustering revealed by Fast Radio Bursts
FRB dispersion measures directly constrain suppression of the matter power spectrum due to feedback at k ~ 0.1-3 h/Mpc, reduce posterior variance by a factor of ~8 at k~1 h/Mpc, and exclude extreme large-scale feedbac...
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Cross-correlating galaxies and cosmic dispersion measures: Constraints on the gas-to-halo mass relation from 2MASS galaxies and 133 localized fast radio bursts
A null galaxy-FRB cross-correlation at small scales implies hot gas in 10^12-13 Msun halos is below about 10% of the cosmic baryon fraction, lower than TNG300 predicts.
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Cavendish experiment with fast radio bursts on cosmological scales
Proposes an FRB-based estimator F_G combining galaxy-DM and weak-lensing cross-correlations to measure G_light at ~10% precision in 10 redshift bins at z≲1 under a conservative k-cut.
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