Parity violation in galaxy shapes: Primordial non-Gaussianity

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>U</a:mi> <a:mo stretchy="false">(</a:mo> <a:mn>1</a:mn> <a:mo stretchy="false">)</a:mo> </a:math> -gauge inflationary model, the IA power spectrum is proportional to the power spectrum of the curvature perturbation, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msub> <e:mi>P</e:mi> <e:mi>ζ</e:mi> </e:msub> <e:mo stretchy="false">(</e:mo> <e:mi>k</e:mi> <e:mo stretchy="false">)</e:mo> <e:mo>∝</e:mo> <e:msup> <e:mi>k</e:mi> <e:mrow> <e:mo>−</e:mo> <e:mn>3</e:mn> </e:mrow> </e:msup> </e:math> . However, the proportionality constants contain not only the PNG amplitude but also undetermined EFT bias parameters. We use <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>N</i:mi> </i:math> -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.