Numerical approaches for two-loop amplitudes

现诚聘博士后研究员一名。这个为期3年的项目旨在开发一种双环振幅的完全数值方法。该方法有望实现目前传统解析解无法实现的精确计算，但这是大型强子对撞机现象学迫切需要的。其主要思想依赖于在回路积分级引入局部减法项和数值计算的回路动量的直接轮廓变形。这个想法是由Weinzierl等人在单环校正中率先提出的，本项目的目标是探索其在双环振幅中的应用。该方法的发展将直接关注希格斯玻色子和顶夸克物理中的重要对撞机过程。

This proposal is asking for one position of a postdoctoral researcher. The 3-year project concerns developing a fully numerical approach for two-loop amplitudes. The method is expected to enable precision calculations which are currently unfeasible with conventional analytic solutions, but urgently required for LHC phenomenology. The main idea relies on introducing local subtraction terms at the loop integrand level and a direct contour deformation of the numerically evaluated loop momentum. This idea has been pioneered by Weinzierl et al. for one-loop corrections and it is the goal of this project to explore its application to two-loop amplitudes. The method will be developed with an immediate focus on important collider processes in Higgs boson and top quark physics.