发表机构
KTH Royal Institute of Technology; The Oskar Klein Centre for Cosmoparticle Physics（皇家理工学院; 奥斯卡·克莱因宇宙粒子物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文扩展雅可比对角化方法，推导标量非标准相互作用下中微子振荡的有效参数映射，揭示所有对角耦合均产生标量MSW效应，并评估其在多实验中的准确性。
AI 中文摘要
推导物质中简单且精确的三味中微子振荡概率公式对于理解即将进行的实验的现象学至关重要。本文中，我们扩展了雅可比对角化方法，用于推导物质中中微子振荡的有效参数映射。该扩展的关键见解在于，通过使用特定的欧拉旋转排列来有目的地参数化混合矩阵$U_{\text{PMNS}}$。这一新颖的扩展允许为奇异类型的物质势推导简单且精确的有效混合参数映射。首先，我们重新审视了具有标准物质效应的中微子振荡的雅可比对角化方法，并用此来展示我们的推广。随后，我们将雅可比对角化方法应用于标量非标准相互作用（SNSI），并为所有三种单一对角耦合情况推导了有效参数映射。所得公式揭示，所有对角SNSI耦合都可能产生标量MSW（SMSW）效应，即类似于MSW效应的能量无关共振增强。最后，我们研究了所推导的SNSI公式在各种当代和即将进行的实验中的准确性。对于$\delta m_{ee}$，所有考虑的实验的准确性都非常出色。对于$\delta m_{\mu\mu}$和$\delta m_{\tau\tau}$，由于必须忽略$A_{CC}$，准确性较差，并应用一阶微扰修正来改进这一点。
英文摘要
Deriving simple and accurate three-flavor neutrino oscillation probability formulas in matter is critical for understanding the phenomenology of upcoming experiments. In this article, we extend the Jacobi diagonalization method for deriving effective parameter mappings for neutrino oscillations in matter. The key insight behind the extension is to purposefully parameterize the mixing matrix, $U_{\text{PMNS}}$, using particular arrangements of Euler rotations. This novel extension allows for deriving simple and accurate effective mixing parameter mappings for exotic types of matter potentials. First, we revisit the Jacobi diagonalization method for neutrino oscillations with standard matter effects and use this to demonstrate our generalization. Subsequently, we apply the Jacobi diagonalization method to scalar non-standard interactions (SNSI) and derive effective parameter mappings for all three single diagonal coupling cases. The resulting formulas reveal that all diagonal SNSI couplings could give rise to a scalar MSW (SMSW) effect, that is an energy independent resonant enhancement analogous to the MSW effect. Finally, we study the accuracy of the derived SNSI formulas for various contemporary and upcoming experiments. For $δm_{ee}$, the accuracy is excellent for all considered experiments. For $δm_{μμ}$ and $δm_{ττ}$ the accuracy is worse since $A_{CC}$ must be neglected, and first order perturbative corrections are applied to amend this.
Comments48 pages, 5 figures
