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arXiv 2011.08415hep-ph
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物质中的中微子振幅分解

Neutrino amplitude decomposition in matter

Hisakazu Minakata

摘要:

观测大气尺度和太阳尺度振荡之间的干扰是正在进行和即将进行的中微子实验的挑战性和诱人的目标之一。进行这种分析的第一步必然是建立如何将振荡$S$矩阵分解为大气波和太阳波的方法,这个过程被称为振幅分解。本文利用Denton等人提出的微扰框架,建立了覆盖地面中微子实验整个运动学区域的振幅分解公式。我们分析了大气和太阳共振区域的限制,认为动力学的两种模式的分解可以被解释为物质装扮的大气和太阳振荡。振荡概率的表达式,这是分解为非干扰和干扰项,推导出所有相关的风味振荡通道。通过构造这种分解,我们揭示了由于$S$矩阵重排不变性而导致的$ψ$($θ_{12}$ in matter)对称性的本质.微扰理论的新图景出现了,它为地球物质中的中微子振荡提供了一个统一的微扰框架。

英文摘要:

Observation of the interference between the atmospheric-scale and solar-scale oscillations is one of the challenging and tantalizing goals of the ongoing and upcoming neutrino experiments. An inevitable first step required for such analyses is to establish the way of how the oscillation $S$ matrix can be decomposed into the atmospheric and solar waves, the procedure dubbed as the amplitude decomposition. In this paper, with use of the perturbative framework proposed by Denton et al. (DMP), we establish the prescription for amplitude decomposition which covers the whole kinematical region of the terrestrial neutrino experiments. We analyze the limits to the atmospheric- and solar-resonance regions to argue that the dynamical two modes of the DMP decomposition can be interpreted as the matter-dressed atmospheric and solar oscillations. The expressions of the oscillation probability, which are decomposed into the non-interference and interference terms, are derived for all the relevant flavor oscillation channels. Through construction of the DMP decomposition, we reveal the nature of $ψ$ ($θ_{12}$ in matter) symmetry as due to the $S$ matrix rephasing invariance. A new picture of the DMP perturbation theory emerged, a unified perturbative framework for neutrino oscillation in earth matter.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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