中微子质量平方差的积分表示
Integral representation of the neutrino mass-squared differences
浏览论文内容
中文总结 AI 辅助
研究围绕确定中微子质量尺度展开，提出中微子质量平方差的积分表示法，通过实例展示其效用，得出最轻中微子质量上限，制定其他质量实用分析界限并转化为相关质量允许范围，还表明特定中微子质量关系源于该积分表示。
中文摘要 AI 辅助
确定绝对中微子质量尺度仍是粒子物理学中最具挑战性的问题之一。为约束理论模型，建立中微子质量间精确关系至关重要。我们提出中微子质量平方差\(\Delta m_{ij}^2\)的简单积分表示，从互补角度看待这些振荡参数。通过实例展示其效用，假设严格宇宙学界限，得出最轻中微子质量\(m_1 < \sqrt{61\Delta m^2_{21}}/30\)的分析条件，利用JUNO实验数据得到\(m_1<0.0023\)eV（95%置信水平）的上限。还为\(m_{2}\)和\(m_{3}\)制定了适用于未来数据的实用分析界限，并转化为有效电子和马约拉纳中微子质量\(m_{\nu_e}\)和\(m_{\beta\beta}\)的允许范围。最后表明加托 - 萨托里 - 托尼类型的中微子质量关系直接源于所提积分表示。
英文摘要
Determining the absolute neutrino mass scale remains one of the most compelling challenges in particle physics. To constrain theoretical models, establishing precise relations among neutrino masses is essential. We propose a simple integral representation of the neutrino mass-squared differences $Δm_{ij}^2$ that provides a complementary perspective on these oscillation parameters. We then demonstrate its utility through several examples. Specifically, assuming stringent cosmological bounds that confine the sum of neutrino masses near the normal ordering floor, we derive an analytical condition for the lightest neutrino mass, $m_1 < \sqrt{61Δm^2_{21}}/30$. Using recent data from the JUNO experiment, this yields a competitive upper limit of $m_1<0.0023$ eV (95\% C.L.). We also formulate practical analytical bounds for $m_{2}$ and $m_{3}$ adaptable to future data, and translate the results into allowed ranges for the effective electron and Majorana neutrino masses $m_{ν_e}$ and $m_{ββ}$. Finally, we show that neutrino mass relations of the Gatto-Sartori-Tonin type emerge directly from the proposed integral representation.
