标题： 高能固定靶实验的原子结合修正 显示英文标题

标题： Atomic binding corrections for high energy fixed target experiments

摘要： 高能束流入射到固定靶上可能会与原子电子发生散射。 在第一近似下，可以将这些电子视为静止的。 然而，在精密实验中，能够估计这些次级修正的大小，并在必要时进行计算是很重要的。 我们讨论相对论轻子-电子散射中的原子结合修正。 我们详细分析氢原子，然后将我们的分析推广到多电子原子。 利用维里定理和多体求和规则，我们发现这些修正可以简化为测量的结合能以及单体算符的期望值。 我们对中微子通量归一化以及从MUonE上的弹性缪子电子散射中提取强子真空极化现象学影响进行了评论。 显示英文摘要

摘要： High energy beams incident on a fixed target may scatter against atomic electrons. To a first approximation, one can treat these electrons as at rest. For precision experiments, however, it is important to be able to estimate the size of, and when necessary calculate, sub-leading 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.