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arXiv 2012.05763hep-ph
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量子场论中的重中微子-反中微子振荡

Heavy Neutrino-Antineutrino Oscillations in Quantum Field Theory

Stefan Antusch, Johannes Rosskopp

摘要:

已经提出长寿命重中微子质量本征态的相干传播可以导致轻子数守恒(LNC)和破坏(LNV)事件的振荡率,作为产生和位移衰变顶点之间的距离的函数。我们在量子场论(QFT)的框架内,利用外部波包的形式,讨论了这种现象,我们称之为重中微子-反中微子振荡。的振荡概率和预期事件的数量的一般公式推导和一致性和局域化的条件,必须满足为了中微子-反中微子振荡是可观察的讨论。然后将公式应用于低尺度的跷跷板方案,其中具有两个近质量简并的重中微子,当它们的质量低于$W$玻色子质量时,它们可以足够长的寿命来产生位移顶点。导出了这种情况下的前导阶和次前导阶振荡公式。对于在以前的研究中使用的一个示例参数点,所考虑的LNC/LNV过程的运动学进行了模拟,以检查是否满足相干性和局部化条件。我们的研究结果表明,重中微子-反中微子振荡的现象确实可以发生在低尺度的跷跷板的情况下,以前使用的领先阶公式,推导出一个平面波的方法,提供了一个很好的近似所考虑的例子参数点。

英文摘要:

It has been proposed that the coherent propagation of long-lived heavy neutrino mass eigenstates can lead to an oscillating rate of lepton number conserving (LNC) and violating (LNV) events, as a function of the distance between the production and displaced decay vertices. We discuss this phenomenon, which we refer to as heavy neutrino-antineutrino oscillations, in the framework of quantum field theory (QFT), using the formalism of external wave packets. General formulae for the oscillation probabilities and the number of expected events are derived and the coherence and localisation conditions that have to be satisfied in order for neutrino-antineutrino oscillations to be observable are discussed. The formulae are then applied to a low scale seesaw scenario, which features two nearly mass degenerate heavy neutrinos that can be sufficiently long lived to produce a displaced vertex when their masses are below the $W$ boson mass. The leading and next-to-leading order oscillation formulae for this scenario are derived. For an example parameter point used in previous studies, the kinematics of the considered LNC/LNV processes are simulated, to check that the coherence and localisation conditions are satisfied. Our results show that the phenomenon of heavy neutrino-antineutrino oscillations can indeed occur in low scale seesaw scenarios and that the previously used leading order formulae, derived with a plane wave approach, provide a good approximation for the considered example parameter point.

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