该研究致力于解决电弱对称性破缺的热历史的关键问题。该研究分为两部分：（1）通过对标量场的简化模型的计算，进行电弱对称破缺的非微扰研究; （2）研究其在未来的对撞机上的唯像学，特别是在CEPC上的研究。非微扰计算将使用蒙特卡罗方法计算，并和使用微扰理论所做的电弱相变计算进行比较。得到的结果将采用为基准，进一步用于对撞机现象学的探索。未来的对撞机上的研究包括新的标量粒子的直接产生和间接测量，以及希格斯自耦合和希格斯衰变分支比测量。

This proposal will address key open problems in understanding the thermal history of electroweak symmetry breaking. The research has two parts: (1) carry out non-perturbative studies of the electroweak symmetry-breaking transition in well-motivated, simplified models for scalar sector extensions; (2) investigate the future collider probes, with a particular emphasis on opportunities at the CEPC. The non-perturbative computations will be carried out with lattice Monte Carlo methods and compared with electroweak phase transition computations using perturbation theory. Results will be used to benchmark perturbation theory calculations for input to collider phenomenology probes. Future collider studies will consider direct production of new scalars and indirect tests, including Higgs self-coupling and Higgs decay branching ratio measurements.