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arXiv 1909.11271hep-phastro-ph.HE
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中微子在费米子和标量背景下的退相干

Neutrino decoherence in a fermion and scalar background

Jose F. Nieves, Sarira Sahu

备注：
21 pages, 3 figures
发表信息：
Phys. Rev. D 100, 115049 (2019)
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摘要：

本文研究了中微子在标量粒子和费米子组成的背景中传播时由于非前向散射引起的退相干效应。利用一个简单的耦合模型$\bar f_Rν_Lϕ$，我们计算了在这种背景下中微子非前向散射过程对中微子自能虚部的贡献，并由此确定了阻尼项。在我们考虑的情况下，初始中微子态被耗尽，但实际上并没有消失（例如，初始中微子跃迁成不同味道的中微子，但没有衰变成$fϕ$对），我们将阻尼项与退相干效应联系起来。为了这个目的，我们给出了一个精确的处方，以确定退相干项，作为在主或Linblad方程的上下文中使用的，在阻尼方面，我们已经从非前向中微子散射过程的中微子自能的虚部的计算得到。结果可以直接在暗物质-中微子相互作用模型的背景下，标量和/或费米子构成的暗物质，也可以用来指导推广到其他模型和/或情况下，在中微子的传播中的退相干效应起源于非前向散射过程可能是重要的。作为一个指南，以估计这种退相干效应，自能和相应的阻尼项的吸收部分的贡献计算明确的背景下，我们考虑的模型，为几个限制情况下的背景粒子的动量分布函数。

英文摘要：

We consider the decoherence effects in the propagation of neutrinos in a background composed of a scalar particle and a fermion due to the non-forward neutrino scattering processes. Using a simple model for the coupling of the form $\bar f_Rν_Lϕ$ we calculate the contribution to the imaginary part of the neutrino self-energy arising from the non-forward neutrino scattering processes in such backgrounds, from which the damping terms are determined. In the case we are considering, in which the initial neutrino state is depleted but does not actually disappear (the initial neutrino transitions into a neutrino of a different flavor but does not decay into a $fϕ$ pair, for example), we associate the damping terms with decoherence effects. For this purpose we give a precise prescription to identify the decoherence terms, as used in the context of the master or Linblad equation, in terms of the damping terms we have obtained from the calculation of the imaginary part of the neutrino self-energy from the non-forward neutrino scattering processes. The results can be directly useful in the context of Dark Matter-neutrino interaction models in which the scalar and/or fermion constitute the dark-matter, and can also serve to guide the generalizations to other models and/or situations in which the decoherence effects in the propagation of neutrinos originate from the non-forward scattering processes may be important. As a guide to estimating such decoherence effects, the contributions to the absorptive part of the self-energy and the corresponding damping terms are computed explicitly in the context of the model we consider, for several limiting cases of the momentum distribution functions of the background particles.

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