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arXiv 1609.08623hep-phhep-ex
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用中微子振荡实验检验轻子么正性的框架

A framework for testing leptonic unitarity by neutrino oscillation experiments

Chee Sheng Fong, Hisakazu Minakata, Hiroshi Nunokawa

备注：
Updated to match the published version in JHEP. Added section 5.3 on current constraints on unitarity violation. Added analysis for the case of reactor neutrino flux uncertainty of 6% in section 5
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摘要：

如果轻子么正性在远低于电弱标度的能量标度上被新物理破坏，我们称之为低标度么正性破坏，它具有不同于高能标度下么正性破坏的特征。它们包括保持风味普遍性和没有零距离风味过渡。我们提出了一个用中微子振荡实验来检验这种低能么正性破坏的框架。从酉3活性加$N$（任意整数）无菌中微子模型开始，我们表明，通过限制活性无菌和无菌无菌中微子质量平方差为$\gtrsim$ 0.1 eV $^2$的振荡概率在$(3+N)$模型变得不敏感的无菌部门的细节，提供了一个几乎模型独立的框架测试低尺度幺正违反。然而，不育部门的存在留下的痕迹作为一个恒定的概率泄漏项，它区分低尺度的幺正性破坏的高尺度之一。在这两种情况下，活跃中微子子空间中的非幺正混合矩阵是共同的。我们分析了如何严重的么正性违反可以限制在$ν_{e}$行采取JUNO样设置来模拟中等基线反应堆实验。在一阶物质势下讨论了物质效应对$(3+N)$模型特性的可能修正。

英文摘要：

If leptonic unitarity is violated by new physics at an energy scale much lower than the electroweak scale, which we call low-scale unitarity violation, it has different characteristic features from those expected in unitarity violation at high-energy scales. They include maintaining flavor universality and absence of zero-distance flavor transition. We present a framework for testing such unitarity violation at low energies by neutrino oscillation experiments. Starting from the unitary 3 active plus $N$ (arbitrary integer) sterile neutrino model we show that by restricting the active-sterile and sterile-sterile neutrino mass squared differences to $\gtrsim$ 0.1 eV$^2$ the oscillation probability in the $(3+N)$ model becomes insensitive to details of the sterile sector, providing a nearly model-independent framework for testing low-scale unitarity violation. Yet, the presence of the sterile sector leaves trace as a constant probability leaking term, which distinguishes low-scale unitarity violation from the high-scale one. The non-unitary mixing matrix in the active neutrino subspace is common for the both cases. We analyze how severely the unitarity violation can be constrained in $ν_{e}$-row by taking a JUNO-like setting to simulate medium baseline reactor experiments. Possible modification of the features of the $(3+N)$ model due to matter effect is discussed to first order in the matter potential.

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