Analysis shows marked angular power spectra improve clustering amplitude constraints in weak lensing, suggesting enhanced data utility.
We present the first application of marked angular power spectra to weak lensing data, using maps from the Subaru Hyper Suprime-Cam Year 1 (HSC-Y1) survey. Marked convergence fields, constructed by weighting the convergence field with non-linear functions of its smoothed version, are designed to encode higher-order information while remaining computationally tractable. Using simulations tailored to the HSC-Y1 data, we test three mark functions that up- or down-weight different density environments. Our results show that combining multiple types of marked auto- and cross-spectra improves constraints on the clustering amplitude parameter S₈≡σ₈√Ωₘ/0.3 by ≈43% compared to standard two-point power spectra. When applied to the HSC-Y1 data, this translates into a constraint on S₈ = 0.807± 0.024. We assess the sensitivity of the marked power spectra to systematics, including baryonic effects, intrinsic alignment, photometric redshifts, and multiplicative shear bias. These results demonstrate the promise of marked statistics as a practical and powerful tool for extracting non-Gaussian information from weak lensing surveys.
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Cowell et al. (2025) studied this question.
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