Scattering of Electroweak Gauge Bosons - Theoretical Concepts and Precise Predictions for the LHC

电弱矢量玻色子散射（VBS）过程的实验研究是探索大型强子对撞机电弱对称性破缺机制的基石，因此要求在尽可能高的水平上进行预测。虽然文献中存在关于这些过程的QCD校正的结果，但拟议项目的核心在于计算剩余的次领先阶（NLO）校正，这些校正是电弱或混合QCD/电弱起源。项目的重点是同符号和反符号WW+2jet生产，将涉及Z玻色子的其他渠道的扩展留给未来的项目。除了完整的NLO计算之外，该计算将基于A.Denner和申请人制定的环路修正的批准方法，该项目的目的是在各自的运动学体系中构建适当的近似向量-玻色子散射。期望在全LO计算的基础上，通过系统改进的“有效矢量-玻色子近似”处理NLO修正，可以得到一个在现象学上充分的近似。这样的近似不仅可以提供对VBS更好的理论理解，而且还可以促进在多用途蒙特卡罗生成器中包含高阶修正。最后，该项目代表了在标准模型之外的物理存在下对VBS进行精确预测的重要前期阶段，无论是在具体的SM扩展方面，还是在具有高维算子的模型独立有效理论方面。

The experimental investigation of electroweak vector-boson scattering (VBS) processes is a cornerstone in the exploration of the mechanism of electroweak symmetry breaking at the LHC, thereby asking for predictions at the highest possible level. While results on QCD corrections to these processes exist in the literature, the core of the proposed project consists in the calculation of the remaining next-to-leading order (NLO) corrections that are of electroweak or mixed QCD/electroweak origin. The focus of the project is directed to like-sign and opposite-sign WW+2jet production, leaving the extension to other channels involving Z bosons to future projects. Apart from the full NLO calculations, which will be based on the approved methods for loop corrections worked out by A.Denner and the applicant, the project aims at the construction of appropriate approximations vector-boson scattering in the respective kinematic regime. It is expected that a phenomenologically sufficient approximation can be based on full LO calculations supplemented by NLO corrections treated via a systematically improved "effective vector-boson approximation". Such approximations would not only deliver a better theoretical understanding of VBS, but also facilitate the inclusion of higher-order corrections in multi-purpose Monte Carlo generators. Finally, the project represents an important pre-stage towards precise predictions for VBS in the presence of physics beyond the Standard Model, either in terms of concrete SM extensions or a model-independent effective theory with higher-dimensional operators.