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Parity violation in galaxy shapes: Primordial non-Gaussianity

Toshiki Kurita1,*, Drew Jamieson1, Eiichiro Komatsu1,2,3, and Fabian Schmidt1

  • *Contact author: ktosh@mpa-garching.mpg.de
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Phys. Rev. D 113, 063557 – Published 23 March, 2026

DOI: https://doi.org/10.1103/fxh6-hpmk

Abstract

We present a comprehensive study of galaxy intrinsic alignment (IA) as a probe of parity-violating primordial non-Gaussianity (PNG). Within the effective field theory (EFT) framework, we show that the parity-odd IA power spectrum is sensitive to the collapsed limit of the parity-odd primordial trispectrum. For a U(1)-gauge inflationary model, the IA power spectrum is proportional to the power spectrum of the curvature perturbation, Pζ(k)∝k−3. However, the proportionality constants contain not only the PNG amplitude but also undetermined EFT bias parameters. We use N-body simulations to determine the bias parameters for dark matter halos. Using these bias parameters, we forecast IA’s constraining power, assuming data from the Dark Energy Spectroscopic Instrument and the Rubin Observatory Legacy Survey of Space and Time. We find that the IA power spectrum can improve the current limits on the amplitude of parity-violating PNG derived from galaxy four-point correlation and cosmic microwave background trispectrum analyses. Moreover, galaxy shapes are complementary to these probes, as they are sensitive to different scales and trispectrum configurations. Beyond galaxy shapes, we develop a new method to generate initial conditions for simulations and forward models from the parity-odd trispectrum with an enhanced collapsed limit.

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Phys. Rev. D 113, 063557– Published 23 March, 2026
  • Received 12 September 2025
  • Accepted 25 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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