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Maximum A Posteriori Ly-alpha Estimator (MAPLE): Band-power and covariance estimation of the 3D Ly-alpha forest power spectrum
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We present a novel maximum a posteriori estimator to jointly estimate band-powers and the covariance of the three-dimensional power spectrum (P3D) of Lyman-alpha forest flux fluctuations, called MAPLE. Our Wiener-filter based algorithm reconstructs a window-deconvolved P3D in the presence of complex survey geometries typical for Lyman-alpha surveys that are sparsely sampled transverse to and densely sampled along the line-of-sight. We demonstrate our method on idealized Gaussian random fields with two selection functions: (i) a sparse sampling of 30 background sources per square degree designed to emulate the currently observing the Dark Energy Spectroscopic Instrument (DESI); (ii) a dense sampling of 900 background sources per square degree emulating the upcoming Prime Focus Spectrograph Galaxy Evolution Survey. Our proof-of-principle shows promise, especially since the algorithm can be extended to marginalize jointly over nuisance parameters and contaminants, i.e.offsets introduced by continuum fitting. Our code is implemented in JAX and is publicly available on GitHub.
Forward citations
Cited by 4 Pith papers
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Bridging Simulations and EFT: A Hybrid Model of the Lyman-Alpha Forest Field
A hybrid EFT forward model using N-body displacements reproduces the simulated Lyman-alpha forest to 5% at k <= 1 h/Mpc with a white-noise residual.
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The Compressed 3D Lyman-Alpha Forest Bispectrum
The Lyman-alpha forest bispectrum can be compressed into 26 skew spectra, including a new shifted variant, with tree-level EFT predictions matching simulations at 1-2 sigma up to k≈0.17 h/Mpc.
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Weighted FFT estimators for 1D and 3D correlations of the Lyman-$\alpha$ forest
Weighted FFT estimators for the Lyman-alpha forest power spectrum are made unbiased by a window matrix that forward-models masking, zero-padding, and pixel weights, validated on Gaussian and hydro simulations.
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The ACCEL2 Project: Precision Measurements of EFT Parameters and BAO Peak Shifts for the Lyman-$\alpha$ Forest
A one-loop EFT model matches ACCEL2 Lyman-alpha forest simulations well and predicts BAO scale shifts of roughly -0.2 to -0.3 percent at z=2.
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