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arXiv 2007.08529hep-phhep-exnucl-exnucl-th
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中微子-核相干弹性散射：EFT分析和核响应

Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses

Martin Hoferichter, Javier Menéndez, Achim Schwenk

备注：
28 pages, 11 figures; journal version
发表信息：
Phys. Rev. D 102, 074018 (2020)
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摘要：

在由$Z$玻色子交换介导的标准模型中，中微子-核相干弹性散射截面（CE $ν$ NS）取决于靶核对外部电流的响应.这通常被归入称为原子核的弱形状因子的对象。在这里，我们提供的结果，这种形状因子计算使用大规模的核壳模型为目前的CE $ν$ NS实验，包括铯，碘，氩，氟，钠，锗和氙的相关的广泛的核。此外，我们提供了所需的响应，以捕获的轴向矢量部分的横截面，这并不与中子的数量一致的规模，但可能成为相关的SM预测CE $ν$ NS与非零自旋的目标核。然后，我们概括的形式主义，允许超越SM的贡献。特别是，我们强调，在这种情况下，即使是矢量和轴矢量运营商，标准的弱形状因子不再适用，但需要被替换为适当的组合的基础原子核结构的因素。我们提供了相应的矢量，轴向矢量，但也（伪）标量，张量和偶极子有效运营商，包括从手征有效场论预测的两体电流效应的表达式。最后，我们更新的自旋相关的结构因子的暗物质散射的核根据我们的轴矢量响应的改进处理。

英文摘要：

The cross section for coherent elastic neutrino-nucleus scattering (CE$ν$NS) depends on the response of the target nucleus to the external current, in the Standard Model (SM) mediated by the exchange of a $Z$ boson. This is typically subsumed into an object called the weak form factor of the nucleus. Here, we provide results for this form factor calculated using the large-scale nuclear shell model for a wide range of nuclei of relevance for current CE$ν$NS experiments, including cesium, iodine, argon, fluorine, sodium, germanium, and xenon. In addition, we provide the responses needed to capture the axial-vector part of the cross section, which does not scale coherently with the number of neutrons, but may become relevant for the SM prediction of CE$ν$NS on target nuclei with nonzero spin. We then generalize the formalism allowing for contributions beyond the SM. In particular, we stress that in this case, even for vector and axial-vector operators, the standard weak form factor does not apply anymore, but needs to be replaced by the appropriate combination of the underlying nuclear structure factors. We provide the corresponding expressions for vector, axial-vector, but also (pseudo-)scalar, tensor, and dipole effective operators, including two-body-current effects as predicted from chiral effective field theory. Finally, we update the spin-dependent structure factors for dark matter scattering off nuclei according to our improved treatment of the axial-vector responses.

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