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Main Authors: Krolewski, Alex, May, Simon, Smith, Kendrick, Hopkins, Hans
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.03397
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author Krolewski, Alex
May, Simon
Smith, Kendrick
Hopkins, Hans
author_facet Krolewski, Alex
May, Simon
Smith, Kendrick
Hopkins, Hans
contents Recent studies have found evidence for parity violation in the BOSS spectroscopic galaxy survey, with statistical significance as high as $7σ$. These analyses assess the significance of the parity-odd four-point correlation function (4PCF) with a statistic called $χ^2$. This statistic is biased if the parity-even eight-point correlation function (8PCF) of the data differs from the mock catalogs. We construct new statistics $χ^2_\times$, $χ^2_{\mathrm{null}}$ that separate the parity violation signal from the 8PCF bias term, allowing them to be jointly constrained. Applying these statistics to BOSS, we find that the parity violation signal ranges from $0$ to $2.5σ$ depending on analysis choices, whereas the 8PCF bias term is $\sim 6σ$. We conclude that there is no compelling evidence for parity violation in BOSS. Our new statistics can be used to search for parity violation in future surveys, such as DESI, without 8PCF biases.
format Preprint
id arxiv_https___arxiv_org_abs_2407_03397
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle No evidence for parity violation in BOSS
Krolewski, Alex
May, Simon
Smith, Kendrick
Hopkins, Hans
Cosmology and Nongalactic Astrophysics
Recent studies have found evidence for parity violation in the BOSS spectroscopic galaxy survey, with statistical significance as high as $7σ$. These analyses assess the significance of the parity-odd four-point correlation function (4PCF) with a statistic called $χ^2$. This statistic is biased if the parity-even eight-point correlation function (8PCF) of the data differs from the mock catalogs. We construct new statistics $χ^2_\times$, $χ^2_{\mathrm{null}}$ that separate the parity violation signal from the 8PCF bias term, allowing them to be jointly constrained. Applying these statistics to BOSS, we find that the parity violation signal ranges from $0$ to $2.5σ$ depending on analysis choices, whereas the 8PCF bias term is $\sim 6σ$. We conclude that there is no compelling evidence for parity violation in BOSS. Our new statistics can be used to search for parity violation in future surveys, such as DESI, without 8PCF biases.
title No evidence for parity violation in BOSS
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2407.03397