---
OA_place: repository
OA_type: green
_id: '23054'
abstract:
- lang: eng
  text: "We investigate the cosmological information in higher-order statistics of
    the cosmic microwave background (CMB) lensing convergence field for a near-term
    experiment with noise properties similar to the Simons Observatory (SO). Using
    a fully field-level forward-modeling pipeline based on ray-traced simulations
    from the massivenus suite and realistic SO-like CMB lensing reconstruction, we
    naturally include nonlinear structure formation, post-Born effects, and higher-order
    reconstruction noise. We measure several non-Gaussian statistics, including Minkowski
    functionals, peak and minima counts, moments, and wavelet-scattering coefficients.
    We train Gaussian-process emulators to model each statistic’s dependence on the
    matter density fraction Ω\U0001D45A, the scalar power spectrum amplitude \U0001D434\U0001D460,
    and the neutrino mass sum \U0001D440\U0001D708. We quantify the relative information
    gain these statistics provide beyond the lensing power spectrum and identify which
    are most robust to reconstruction noise. We find that morphology-based statistics,
    particularly Minkowski functionals and peak/minima counts, offer significant complementary
    constraining power: combining all non-Gaussian statistics with the power spectrum
    yields reductions of 40% and 38% in the marginalized uncertainties on Ω\U0001D45A
    and \U0001D434\U0001D460, respectively, and a 70% reduction in the one-sided uncertainty
    on \U0001D440\U0001D708. These gains remain non-negligible even when the power
    spectrum is extended to larger scales and combined with primary CMB and BAO data,
    with Minkowski functionals providing an additional 11% improvement in \U0001D70E⁡(\U0001D440\U0001D708)
    and 35% in \U0001D70E⁡(Ω\U0001D45A) beyond the extended power spectrum. By contrast,
    moments and wavelet-scattering coefficients provide more limited gains at SO noise
    levels. Our results highlight the potential of non-Gaussian statistics to enhance
    cosmological constraints from SO and future CMB surveys."
acknowledgement: We thank Will Coulton, Adrian Bayer, and Max Lee for useful discussions.
  S. F. C., J. C. H., and Z. H. acknowledge support from NASA Grant No. 80NSSC24K1093
  [ATP]. J. C. H. also acknowledges support from NASA Grant No. 80NSSC23K0463 [ADAP].
  J. C. H. thanks the Kavli Institute for Theoretical Physics (KITP) for hospitality
  during the completion of this work; this research was supported in part by Grant
  No. NSF PHY-2309135 to the KITP. The authors also acknowledge the Texas Advanced
  Computing Center (TACC) at The University of Texas at Austin for providing computational
  resources that have contributed to the research results reported within this paper.
  We acknowledge computing resources from Columbia University’s Shared Research Computing
  Facility project, which is supported by NIH Research Facility Improvement Grant
  No. 1G20RR030893-01, and associated funds from the New York State Empire State Development,
  Division of Science Technology and Innovation (NYSTAR) Contract No. C090171, both
  awarded April 15, 2010. This is not an official Simons Observatory collaboration
  paper.
article_number: '023535'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Shu Fan
  full_name: Chen, Shu Fan
  last_name: Chen
- first_name: J. Colin
  full_name: Hill, J. Colin
  last_name: Hill
- first_name: Zoltán
  full_name: Haiman, Zoltán
  id: 7c006e8c-cc0d-11ee-8322-cb904ef76f36
  last_name: Haiman
  orcid: 0000-0003-3633-5403
citation:
  ama: Chen SF, Hill JC, Haiman Z. Probing cosmology through higher-order CMB lensing
    statistics. <i>Physical Review D</i>. 2026;114(2). doi:<a href="https://doi.org/10.1103/CLVJ-GL8P">10.1103/CLVJ-GL8P</a>
  apa: Chen, S. F., Hill, J. C., &#38; Haiman, Z. (2026). Probing cosmology through
    higher-order CMB lensing statistics. <i>Physical Review D</i>. American Physical
    Society. <a href="https://doi.org/10.1103/CLVJ-GL8P">https://doi.org/10.1103/CLVJ-GL8P</a>
  chicago: Chen, Shu Fan, J. Colin Hill, and Zoltán Haiman. “Probing Cosmology through
    Higher-Order CMB Lensing Statistics.” <i>Physical Review D</i>. American Physical
    Society, 2026. <a href="https://doi.org/10.1103/CLVJ-GL8P">https://doi.org/10.1103/CLVJ-GL8P</a>.
  ieee: S. F. Chen, J. C. Hill, and Z. Haiman, “Probing cosmology through higher-order
    CMB lensing statistics,” <i>Physical Review D</i>, vol. 114, no. 2. American Physical
    Society, 2026.
  ista: Chen SF, Hill JC, Haiman Z. 2026. Probing cosmology through higher-order CMB
    lensing statistics. Physical Review D. 114(2), 023535.
  mla: Chen, Shu Fan, et al. “Probing Cosmology through Higher-Order CMB Lensing Statistics.”
    <i>Physical Review D</i>, vol. 114, no. 2, 023535, American Physical Society,
    2026, doi:<a href="https://doi.org/10.1103/CLVJ-GL8P">10.1103/CLVJ-GL8P</a>.
  short: S.F. Chen, J.C. Hill, Z. Haiman, Physical Review D 114 (2026).
das_tickbox: '1'
dataavailabilitystatement: The data that support the findings of this article are
  openly available [https://doi.org/10.1103/PhysRevD.98.023535].
date_created: 2026-10-04T22:01:56Z
date_published: 2026-07-16T00:00:00Z
date_updated: 2026-10-07T13:02:05Z
day: '16'
department:
- _id: ZoHa
doi: 10.1103/CLVJ-GL8P
external_id:
  arxiv:
  - '2603.12335'
fulldoi: https://doi.org/10.1103/CLVJ-GL8P
intvolume: '       114'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2603.12335
month: '07'
oa: 1
oa_version: Preprint
publication: Physical Review D
publication_identifier:
  eissn:
  - 2470-0029
  issn:
  - 2470-0010
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: no
title: Probing cosmology through higher-order CMB lensing statistics
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 114
year: '2026'
...