论文标题
使用长基线实验P2O调查Lorentz违规
Investigating Lorentz Violation with the long baseline experiment P2O
论文作者
论文摘要
量子场理论的基本命题之一是洛伦兹的不变性。可以在高能尺度上自发破坏洛伦兹对称性的对称性，可以在低能扩展下以模型无关的方式（如标准模型）通过 有效的现场理论（EFT）。当前和未来的长基线中微子实验可以使范围观察到洛伦兹不变性违规的物理学（LIV）。提出的长基线实验，即基线为2595 km的Orca（称为“ P2O”）的Protvino，预计将对未解决的问题，尤其是中微子质量订购提供良好的敏感性。即使具有适度的梁功率和运行时，P2O也可以提供良好的统计数据，这是由于km3net/ orca的非常大（$ \ sim 6 $ mt）的检测器量。在这里，我们详细讨论，单个LIV参数如何在概率水平上影响P2O和Dune基准的中微子振荡，并得出分析表达式以了解有趣的脱发和其他特征。我们估计$Δχ^{2} $敏感性对LIV参数，分析它们之间的相关性，并与标准振荡参数。我们单独计算P2O的这些结果，并对P2O与Dune进行了组合分析。我们指出灵敏度轮廓中的关键特征，并借助此处得出的相关概率表达式来定性地解释它们。最后，我们以$ 95 \％$置信度（C.L.）间隔估计对单个LIV参数的限制，该间隔是由P2O和Dune数据集的组合分析引起的，并突出了对现有约束的改进。我们还发现，liv参数$ a_ {ee} $在$ -22 \ times 10^{ - 23} $ gev中，合并分析以$ 95 \％$ c.l. up。
One of the basic propositions of quantum field theory is Lorentz invariance. The spontaneous breaking of Lorentz symmetry at a high energy scale can be studied at low energy extensions like the Standard model in a model-independent way through effective field theory (EFT). The present and future Long-baseline neutrino experiments can give a scope to observe such a Planck-suppressed physics of Lorentz invariance violation (LIV). A proposed long baseline experiment, Protvino to ORCA (dubbed "P2O") with a baseline of 2595 km, is expected to provide good sensitivities to unresolved issues, especially neutrino mass ordering. P2O can offer good statistics even with a moderate beam power and runtime, owing to the very large ($\sim 6$ Mt) detector volume at KM3NeT/ ORCA. Here we discuss in detail, how the individual LIV parameters affect neutrino oscillations at P2O and DUNE baselines at the level of probability and derive analytical expressions to understand interesting degeneracies and other features. We estimate $Δχ^{2}$ sensitivities to the LIV parameters, analyzing their correlations among each other, and also with the standard oscillation parameters. We calculate these results for P2O alone and also carry out a combined analysis of P2O with DUNE. We point out crucial features in the sensitivity contours and explain them qualitatively with the help of the relevant probability expressions derived here. Finally, we estimate constraints on the individual LIV parameters at $95\%$ confidence level (C.L.) intervals stemming from the combined analysis of P2O and DUNE datasets and highlight the improvement over the existing constraints. We also find out that the additional degeneracy induced by the LIV parameter $a_{ee}$ around $-22 \times 10^{-23}$ GeV is lifted by the combined analysis at $95\%$ C.L.
