论文标题
朝向nnlo的穆恩电子散射
Towards muon-electron scattering at NNLO
论文作者
论文摘要
最近提出的在CERN的Muone实验旨在通过研究相对较小的动量转移时研究弹性MUON电子散射对MUON异常磁矩的新确定。对高精度预测（包括所有相关的辐射校正）的10ppm命令的预期准确性。描述了固定顺序NNLO光子辐射校正的理论公式，并讨论了使用相应的蒙特卡洛代码获得的数值结果的影响，以进行Muone实验的典型事件选择。特别是，精确处理了由于电子辐射以及若子辐射引起的校正的量规不变子集。由于图表，至少两个虚拟光子连接电子和muon线的两层贡献是从经典的Yennie-frautschi-Suura方法中汲取灵感的。计算及其蒙特卡洛实施铺平了迈向实现模拟代码的道路，其中包含了与多个光子辐射相匹配的完整NNLO校正，最终将需要进行数据分析。
The recently proposed MUonE experiment at CERN aims at providing a novel determination of the leading order hadronic contribution to the muon anomalous magnetic moment through the study of elastic muon-electron scattering at relatively small momentum transfer. The anticipated accuracy of the order of 10ppm demands for high-precision predictions, including all the relevant radiative corrections. The theoretical formulation for the fixed-order NNLO photonic radiative corrections is described and the impact of the numerical results obtained with the corresponding Monte Carlo code is discussed for typical event selections of the MUonE experiment. In particular, the gauge-invariant subsets of corrections due to electron radiation as well as to muon radiation are treated exactly. The two-loop contribution due to diagrams where at least two virtual photons connect the electron and muon lines is approximated taking inspiration from the classical Yennie-Frautschi-Suura approach. The calculation and its Monte Carlo implementation pave the way towards the realization of a simulation code incorporating the full set of NNLO corrections matched to multiple photon radiation, that will be ultimately needed for data analysis.
