论文标题
在nnlo上的muon电子散射
Muon-electron scattering at NNLO
论文作者
论文摘要
我们介绍了MUON电子散射的整个NNLO QED校正的第一个计算。这包括Leptonic，非扰动的耐药性和光子贡献。包括完全依赖于电子或MUON线的所有费米子校正以及仅校正电子或兆线线的光子子集。考虑到小电子质量的膨胀，真实的四点两环拓扑被计算出来，同时考虑到对数增强以及使用质量化的恒定质量效应。通过将Openloops与近代稳定的稳定相结合，可以实现快速稳定的数字真实虚拟贡献。所有矩阵元素均在McMule框架中实现，该元素允许对可观察到的任何红外安全性进行完全分化的计算。该计算应在需要在10 ppm级别的背景预测的Muone实验的背景下进行查看。因此，我们的结果是实现这一雄心勃勃的精确目标的主要里程碑。
We present the first calculation of the complete set of NNLO QED corrections for muon-electron scattering. This includes leptonic, non-perturbative hadronic, and photonic contributions. All fermionic corrections as well as the photonic subset that only corrects the electron or the muon line are included with full mass dependence. The genuine four-point two-loop topologies are computed as an expansion in the small electron mass, taking into account both, logarithmically enhanced as well as constant mass effects using massification. A fast and stable implementation of the numerically delicate real-virtual contribution is achieved by combining OpenLoops with next-to-soft stabilisation. All matrix elements are implemented in the McMule framework, which allows for the fully-differential calculation of any infrared-safe observable. This calculation is to be viewed in the context of the MUonE experiment requiring a background prediction at the level of 10 ppm. Our results thus represent a major milestone towards this ambitious precision goal.
