arXiv 1806.091122018-06hep-ph

物质中中微子混合与中微子振荡中的CP和T破坏效应

On Neutrino Mixing in Matter and CP and T Violation Effects in Neutrino Oscillations

S. T. Petcov, Ye-Ling Zhou

备注：: 17 pages, 6 figures, refs added, published in PLB
发表信息：: Phys.Lett. B785 (2018) 95
DOI：: 10.1016/j.physletb.2018.08.025

摘要：

本文用中微子哈密顿量的实形式研究了真空和常密度物质中3-中微子的混合和振荡。我们发现大气中微子混合角和真空（物质）中中微子混合矩阵的Dirac CP破坏相分别对应于（近似）等式$θ^m_{23} = θ_{23}$和$δ^m = δ$，$θ_{23}$（$θ^m_{23}$）和$δ$（$δ^m$），它们对T2 K（T2 HK），T2 HKK，NO $ν$ A和DUNE中微子振荡实验的条件具有很好的近似.给出了已知关系式$\sin2θ^m_{23} \sinδ^m = \sin2θ_{23} \sinδ$的一种新的推导方法，并利用它得到了由于物质效应引起的$θ_{23}$和$δ$位移之间的相关性。本文推导了确定真空中三味中微子振荡CP和T破坏效应大小的再定相不变量$J_{\rm CP}$与定密度物质中T破坏效应大小的再定相不变量$J^{m}_{\rm T} \equiv J^{m}$之间的关系。它表明，出现在这个关系，$J^{m} = J_{\rm CP}\,F$，其明确的形式给出了在\cite{Krastev:1988yu}的功能$F$，符合在类似的关系$J^{m} = J_{\rm CP}\tilde{F}$在\cite{Naumov:1991ju}导出的功能$\tilde{F}$，虽然$F$和$\tilde{F}$表示的中微子质量和混合参数的不同的设置，并有完全不同的形式。

英文摘要：

Aspects of 3-neutrino mixing and oscillations in vacuum and in matter with constant density are investigated working with a real form of the neutrino Hamiltonian. We find the (approximate) equalities $θ^m_{23} = θ_{23}$ and $δ^m = δ$, $θ_{23}$ ($θ^m_{23}$) and $δ$ ($δ^m$) being respectively the atmospheric neutrino mixing angle and the Dirac CP violation phase in vacuum (in matter) of the neutrino mixing matrix, which are shown to represent excellent approximations for the conditions of the T2K (T2HK), T2HKK, NO$ν$A and DUNE neutrino oscillation experiments. A new derivation of the known relation $\sin2θ^m_{23} \sinδ^m = \sin2θ_{23} \sinδ$ is presented and it is used to obtain a correlation between the shifts of $θ_{23}$ and $δ$ due to the matter effect. A derivation of the relation between the rephasing invariants which determine the magnitude of CP and T violating effects in 3-flavour neutrino oscillations in vacuum, $J_{\rm CP}$, and of the T violating effects in matter with constant density, $J^{m}_{\rm T} \equiv J^{m}$, reported in \cite{Krastev:1988yu} without a proof, is presented. It is shown that the function $F$ which appears in this relation, $J^{m} = J_{\rm CP}\,F$, and whose explicit form was given in \cite{Krastev:1988yu}, coincides with the function $\tilde{F}$ in the similar relation $J^{m} = J_{\rm CP}\tilde{F}$ derived in \cite{Naumov:1991ju}, although $F$ and $\tilde{F}$ are expressed in terms of different sets of neutrino mass and mixing parameters and have completely different forms.

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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英文摘要：

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