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arXiv 2404.02027hep-phhep-th
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高能中微子味组成作为中微子磁矩的探针

High-energy neutrinos flavour composition as a probe of neutrino magnetic moments

Artem Popov, Alexander Studenikin

AI总结:

本文利用波包方法研究磁场中的中微子味与自旋振荡,发现波包分离导致退相干,并指出磁矩约达 $10^{-13}\mu_B$ 时高能中微子味组成会显著偏离真空振荡预言。

摘要:

本文研究了中微子在银河系和河外磁场中的传播。我们扩展了文献 \cite{Popov:2019nkr} 中发展的方法,利用波包描述中微子的味振荡和自旋振荡。推导了中微子波包在均匀和非均匀磁场中的演化方程。对于均匀磁场情形,得到了中微子味振荡和自旋振荡概率的解析表达式,其中考虑了由波包分离导致的阻尼。结果表明,味振荡概率中依赖于磁场强度的项具有两个相干长度。其中一个相干长度与真空中中微子振荡的相干长度一致,而第二个相干长度正比于平均中微子动量的三次方 $p_0^3$。对于中微子与非均匀银河系磁场相互作用的情形,数值计算了味振荡和自旋振荡概率。结果表明,由于中微子波包分离,某些频率上的振荡在银河系尺度上受到抑制。在考虑中微子与磁场的相互作用以及波包分离导致的退相干后,计算了来自银河系中心的高能中微子流和来自河外源的超高能中微子的味组成。结果表明,当中微子磁矩约为 $10^{-13}\mu_B$ 或更大时,这些味组成与真空中微子振荡情景所预言的结果显著不同。

英文摘要:

Neutrino propagation in the Galactic and extragalactic magnetic fields is considered. We extend an approach developed in \cite{Popov:2019nkr} to describe neutrino flavour and spin oscillations using wave packets. The evolution equations for the neutrino wave packets in a uniform and non-uniform magnetic fields are derived. The analytical expressions for neutrino flavour and spin oscillations probabilities accounting for damping due to the wave packet separation are obtained for the case of a uniform magnetic field. It is shown that terms in the flavour oscillations probabilities that depend on the magnetic field strength are characterized by two coherence lengths. One of the coherence lengths coincides with the coherence length for neutrino oscillations in vacuum, while the second one is proportional to the cube of the average neutrino momentum $p_0^3$. The probabilities of flavour and spin oscillations are calculated numerically for neutrino interacting with the non-uniform Galactic magnetic field. It is shown that oscillations on certain frequencies are suppressed on the Galactic scale due to the neutrino wave packets separation. The flavour compositions of high-energy neutrino flux coming from the Galactic centre and ultra-high energy neutrinos from an extragalactic sourse are calculated accounting for neutrino interaction with the magnetic field and decoherence due to the wave packet separation. It is shown that for neutrino magnetic moments $\sim 10^{-13} μ_B$ and larger these flavour compositions significantly differ from ones predicted by the vacuum neutrino oscillations scenario.

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