论文标题
物质中微子振幅分解
Neutrino amplitude decomposition in matter
论文作者
论文摘要
观察大气规模和太阳尺度振荡之间的干扰是正在进行的中微子实验的挑战性和诱人目标之一。此类分析所需的不可避免的第一步是建立如何将振荡$ S $矩阵分解到大气和太阳波中的方式，该过程称为振幅分解。在本文中，使用Denton等人提出的扰动框架。 （DMP），我们建立了振幅分解的处方，该处方涵盖了陆生中微子实验的整个运动区域。我们分析了大气和太阳能区域的限制，以指出DMP分解的动力学两种模式可以解释为物质上的大气和太阳振荡。分解为非干预和干扰项的振荡概率的表达是针对所有相关风味振荡通道得出的。通过构建DMP分解，我们揭示了由于$ s $矩阵的不变性，因此在物质上呈$ψ$（$θ_{12} $）的性质。出现了DMP扰动理论的新图片，这是地球物质中中微子振荡的统一扰动框架。
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.
