BOSS中无宇称违反证据
No evidence for parity violation in BOSS
AI总结：
研究通过新统计量排除BOSS数据中宇称违反信号，发现宇称违反信号在2.5σ以内，而8PCF偏置达6σ，结论为无显著宇称违反证据。
摘要：
近期研究发现BOSS光谱星系巡天中存在宇称违反证据，统计显著性高达7σ。这些分析通过统计量χ²评估宇称奇四点相关函数的显著性。该统计量在数据的宇称偶八点相关函数（8PCF）与模拟目录不同时会偏置。我们构建了新的统计量χ²×和χ²_null，将宇称违反信号与8PCF偏置项分离，从而联合约束。将这些统计量应用于BOSS，发现宇称违反信号在不同分析选择下范围为0至2.5σ，而8PCF偏置项约为6σ。我们得出结论，BOSS中无显著宇称违反证据。我们的新统计量可用于未来巡天（如DESI）中搜索宇称违反现象，而无需8PCF偏置。
英文摘要：
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.
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