Effective Quantum Field Theories for the LHC

有效场论是解决量子场论问题的有力工具，量子场论的特点是两个或多个不同的能量尺度。有效理论的专门知识可以应用于粒子物理现象学的许多领域，从产生散射截面的全阶微扰结果(即恢复)，到通过标准模型粒子的非标准相互作用寻找新物理的迹象。因此，在这个方向上的博士项目将涉及到熟悉一般的有效场论机制，然后将其应用于大型强子对撞机现象学的特定方向，该方向可以根据学生的兴趣而定。作为具体的例子，我目前的博士生正在开发计算希格斯玻色子衰变的量子修正的技术，一方面是在标准模型有效场论中，另一方面是使用机器学习和深度神经网络来搜索大型强子对撞机上的新相互作用。位于达勒姆的粒子物理现象学研究所(IPPP)在超越标准模型的物理学理论方面及其现象学特征方面拥有杰出的专业知识，是这一雄心勃勃的项目的理想场所。

Effective field theories are a powerful tool for tacking problems in quantum field theory characterised by two or more disparate energy scales. Expertise in effective theories can be applied to many areas of particle physics phenomenology, from generating all-orders perturbative results (i.e. resummation) for scattering cross sections, to searching for signs of new physics through non-standard interactions of Standard Model particles. A PhD project in this direction will thus involve becoming familiar with effective-field theory machinery in general, and then applying it to a specific directions in LHC phenomenology, which can be shaped according to the interests of the student. As concrete examples, my current PhD students are developing techniques for calculating quantum corrections to Higgs boson decays in the "Standard Model Effective Field Theory" on the one hand, and using machine learning and deep neural networks in order to search for new interactions at the LHC on the other. The Institute for Particle Physics Phenomenology (IPPP) in Durham, has an outstanding expertise in the theoretical aspects of physics beyond the Standard Model and on its phenomenological signatures and it is an ideal place for this ambitious project.