High-energy beams incident on a fixed target may scatter against atomic electrons. To a first approximation, one can treat these electrons as free and at rest. For precision experiments, however, it is important to be able to estimate the size of, and when necessary calculate, subleading corrections. We discuss atomic binding corrections to relativistic lepton-electron scattering. We analyze hydrogen in detail, before generalizing our analysis to multi-electron atoms. Using the virial theorem, and many-body sum rules, we find that the corrections can be reduced to measured binding energies, and the expectation value of a single one-body operator. We comment on the phenomenological impact for neutrino flux normalization and an extraction of hadronic vacuum polarization from elastic muon electron scattering at MUonE.

中文翻译：

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高能固定靶实验的原子结合校正


入射到固定目标上的高能束可能会因原子电子而发生散射。作为第一个近似，人们可以将这些电子视为自由且静止的电子。然而，对于精密实验来说，能够估计并在必要时计算子引导校正的大小非常重要。我们讨论相对论轻子电子散射的原子结合校正。在将我们的分析推广到多电子原子之前，我们详细分析了氢。使用维里定理和多体求和规则，我们发现校正可以减少到测量的结合能和单个单体算子的期望值。我们评论了中微子通量归一化的现象学影响以及从 MUonE 弹性 μ 子电子散射中提取强子真空极化。