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2023

Quadratic shape biases in three-dimensional halo intrinsic alignments

Akitsu, Kazuyuki, Li, Yin, Okumura, Teppei

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Understanding the nonlinear relation between the shapes of halos or galaxies and the surrounding matter distribution is essential in accurate modeling of their intrinsic alignments.

In the perturbative treatment, such nonlinear relation of the intrinsic alignments appears as higher-order shape bias parameters.
In this paper, we present accurate measurements of the quadratic shape bias parameters by combining the \emph{full three-dimensional} power spectrum of the intrinsic alignments (i.e., without any projection) with the quadratic field method.
In order to benefit from the full three-dimensional power spectrum we employ the spherical tensor decomposition of the three-dimensional shape field and measure their power spectra for the first time.

Quadratic shape biases in three-dimensional halo intrinsic alignments · Around

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