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Squeezed limit non-Gaussianity estimation with cosmic shear

Shi-Hui Zang and Moritz Münchmeyer

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Phys. Rev. D 113, 103504 – Published 4 May, 2026

DOI: https://doi.org/10.1103/hnd2-hmhf

Abstract

We present a new method to constrain local primordial non-Gaussianity using the large-scale modulation of the local lensing power spectrum. Our work extends our recently proposed π-field method for primordial non-Gaussianity estimation to spherical coordinates and applies it to galaxy lensing. Our approach is computationally efficient and only requires binned multipole power spectra Cℓ(z1,z2) on large scales, as well as their covariance. Our method is simpler to implement than a full bispectrum estimator, but still contains the full squeezed-limit information. We validate our model using a suite of N-body simulations and demonstrate its accuracy in recovering the fNL values. We then perform a Fisher forecast for an Legacy Survey of Space and Time-like weak lensing survey, finding σfNL≃44. Our approach readily combines with other fNL-sensitive fields such as kinetic Sunyaev-Zel’dovich velocity reconstruction and clustering-based π fields, for a future combined fNL estimator using various large-scale galaxy and CMB observables.

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Phys. Rev. D 113, 103504– Published 4 May, 2026
  • Received 21 January 2026
  • Accepted 17 April 2026
Article part of CHORUS
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