Inspecting signatures of parity violation with angular redshift fluctuations

Parity is the transformation that inverts the spatial coordinates of a physical system. Examining manifestations of parity asymmetries in the large-scale structure (LSS) of the Universe at late times allows us to probe for the existence of early-Universe parity violation signatures. In this work, a novel approach involving the use of angular redshift fluctuations (ARFs) as a probe for parity violation is adopted. ARFs are a powerful tool to retrieve cosmological information from the LSS of the Universe. One of the advantages of ARFs is their low expected sensitivity to systematic effects. Thus, measuring a parity-violating signal with ARFs could be a valuable step toward unveiling the symmetric properties of the Universe and understanding the nature of the mechanism that leads to its evolution. To this end, this study conducts a test for parity violation using binned numerical estimators of the trispectra for ARFs. For this work, we used the BOSS DR12 galaxy catalogue together with the MultiDark-PATCHY mocks. The test for parity violation was conducted on the CMASS and LOWZ samples, covering both the North Galactic Cap and the South Galactic Cap. Parity violation was tested by comparing the difference between the parity-odd and parity-even components for each trispectrum estimation. In this study, we modeled the distribution of the scale-averaged signal-to-noise ratio across different catalogues. The results of our analysis on the window-deconvolved trispectrum estimator yielded a value of 0.035+/-0.89 for the CMASS sample and -0.013+/0.92 for the LOWZ sample. No evidence of parity violation was detected. Additional tests were performed using parity-violating Quijote-ODD simulations, which are standard N-body simulations that evolve parity-violating initial conditions. We compared their odd-trispectrum estimations with those derived from fiducial LCDM Quijote simulations, and no evidence of parity violation was found.