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arXiv 1508.05095hep-ph
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幺正性与三味中微子混合矩阵

Unitarity and the three flavour neutrino mixing matrix

Stephen Parke, Mark Ross-Lonergan

摘要:

统一性是任何理论的基本属性,它确保我们在理论上一致的框架中工作。与夸克扇区相比,3x 3中微子混合矩阵的幺正性实验测试要弱得多。必须记住,我们关于中微子混合角的绝大多数信息都来自于$\overlineν_e$和$ν_μ$消失实验,其中幺正性假设被用来约束剩余的元素。新的物理学可以使3x 3子集的假设无效,从而修改我们的精确测量。我们进行了重新分析,看看如何改变全球知识时,一个refits振荡的结果,而不假设unitarity,并提出$3 σ$范围允许$U_\text{PMNS}$元素与所有观察到的现象一致。我们计算了六个中微子幺正三角形的封闭边界,其中$ν_e ν_μ$三角形的封闭边界被限制为$\leq$ 0.03,而其余三角形的封闭边界则明显小于$\leq$ 0.1 - 0.2。类似地,对于行和列归一化,我们发现它们与单位的偏差被约束为$\leq$ 0.2 - 0.4,对于六个这样的归一化中的四个,而对于$ν_μ$和$ν_e$行归一化,偏差被约束为$\leq$ 0.07,都在$3σ$ CL处。我们强调,有新的低能量物理的显着空间,特别是在$ν_τ$部门,目前很少有实验直接约束。

英文摘要:

Unitarity is a fundamental property of any theory required to ensure we work in a theoretically consistent framework. In comparison with the quark sector, experimental tests of unitarity for the 3x3 neutrino mixing matrix are considerably weaker. It must be remembered that the vast majority of our information on the neutrino mixing angles originates from $\overlineν_e$ and $ν_μ$ disappearance experiments, with the assumption of unitarity being invoked to constrain the remaining elements. New physics can invalidate this assumption for the 3x3 subset and thus modify our precision measurements. We perform a reanalysis to see how global knowledge is altered when one refits oscillation results without assuming unitarity, and present $3 σ$ ranges for allowed $U_\text{PMNS}$ elements consistent with all observed phenomena. We calculate the bounds on the closure of the six neutrino unitarity triangles, with the closure of the $ν_e ν_μ$ triangle being constrained to be $\leq$ 0.03, while the remaining triangles are significantly less constrained to be $\leq$ 0.1 - 0.2. Similarly for the row and column normalization, we find their deviation from unity is constrained to be $\leq$ 0.2 - 0.4, for four out of six such normalisations, while for the $ν_μ$ and $ν_e$ row normalisation the deviations are constrained to be $\leq$ 0.07, all at the $3σ$ CL. We emphasise that there is significant room for new low energy physics, especially in the $ν_τ$ sector which very few current experiments constrain directly.

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