Oral Presentation

Compressed estimators for cosmological parity violation

Author(s): Drew Jamieson (Max-Planck Institute for Astrophysics)

Presenter: Drew Jamieson (Max-Planck Institute for Astrophysics)

Discovering evidence of primordial parity violation would have profound implications for our understanding of early Universe physics and models of inflation. To probe this phenomenon, we need to measure the four-point statistics, or trispectrum, of the density field. However, this presents numerous challenges. In this presentation, I will introduce a new class of compressed estimators for detecting cosmological signatures of parity violation. These estimators simplify the process by expressing parity violation as a cross-power spectrum between a vector and a pseudo-vector field, corresponding to a weighted angular average over the parity-odd trispectrum. They are faster to implement and easier to analyze compared to the full four-point statistics. We demonstrate their effectiveness in extracting parity violation amplitudes from mock datasets generated with primordial parity violation templates. Additionally, we provide theoretical calculations that agree well with the numerical simulation results.