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(LHC)电弱对称性破缺机制的基石，从而要求在最高水平上进行预测。虽然文献中已有关于这些过程的QCD校正的结果，但拟议项目的核心在于计算剩余的次前级(NLO)校正，这些校正是电弱的或混合的QCD/电弱起源的。该项目的重点是对WW+2JET的生产进行同名和反名，将涉及Z玻色子的其他渠道的扩展留到未来的项目中。除了完整的NLO计算，该计算将基于A.Denner和申请人提出的经批准的回路修正方法，该项目的目的是在各自的运动学区域建立适当的近似矢量-玻色子散射。通过系统改进的“有效矢量-玻色子近似”处理的NLO修正，可以建立在完整的LO计算的基础上，从而得到现象学上的充分近似。这样的近似不仅提供了对VBS的更好的理论理解，而且还有助于在多用途蒙特卡罗生成器中包括高阶校正。最后，该项目代表了在存在超越标准模型的物理存在的情况下实现VBS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无关的有效理论方面。

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.