New CP phase and exact oscillation probabilities of Dirac neutrino derived from relativistic equation

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Keiichi Kimura , Akira Takamura
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引用次数: 0

Abstract

We present a new formulation for deriving neutrino oscillation probabilities relativistically, based not on the Schrödinger equation but on the Dirac equation. In the context of two generations, we calculate the oscillation probabilities precisely in a scenario where only the Dirac mass term is present. Our analysis reveals the emergence of two new features in the oscillation probabilities derived from the Dirac equation. The first feature is that the oscillation probabilities depend on the absolute value of the neutrino mass. While it has generally been assumed that oscillation probabilities depend solely on mass squared differences, we show that they also depend on the absolute mass. The second feature is the emergence of a new CP phase. If interactions exist that can distinguish the flavors of right-handed neutrinos in physics beyond the Standard Model, we could potentially observe this new CP phase even in the two-generation model. We discuss the feasibility of detecting the contributions of these features through neutrino oscillations at atomic scales. In contrast, these effects are negligible in conventional short- and long-baseline experiments, and no contradictions arise with previous findings.
从相对论方程导出狄拉克中微子新的CP相位和精确振荡概率
我们提出了一种新的相对论性推导中微子振荡概率的公式,不是基于Schrödinger方程,而是基于狄拉克方程。在两代的背景下,我们精确地计算了只有狄拉克质量项存在的情况下的振荡概率。我们的分析揭示了从狄拉克方程推导出的振荡概率中出现的两个新特征。第一个特征是振荡概率取决于中微子质量的绝对值。虽然通常认为振荡概率仅取决于质量的平方差,但我们表明它们也取决于绝对质量。第二个特征是出现了一个新的CP阶段。如果在标准模型之外的物理中存在可以区分右手中微子口味的相互作用,我们甚至可以在两代模型中观察到这个新的CP阶段。我们讨论了在原子尺度上通过中微子振荡检测这些特征的贡献的可行性。相比之下,这些影响在传统的短期和长期基线实验中可以忽略不计,并且与先前的研究结果没有矛盾。
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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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