本项目将研究三类重夸克偶素基本过程的两圈图修正，从而来检验NRQCD因子化定理的正确性以及微扰展开的收敛性，并结合最新的实验数据来做深入的唯象分析和讨论。此外项目还将研究CEPC上Higgs主要产生过程的ISR修正。项目的研究具体包括以下四个方面：.（1）研究J/ψ（Υ）电磁衰变到三光子过程的两圈图修正，并结合相对论修正给出精确的NRQCD预言；.（2）研究B工厂上一对粲偶素（J/ψ+χc）产生过程的两圈图修正；.（3）计算B工厂上P波粲偶素伴随一个光子产生过程的两圈图修正； .（4）利用有效场论和重整化群方程来系统研究CEPC上Z+Higgs产生过程的ISR修正。将大对数重求和与该过程的联合电弱QCD次次领头阶修正结合，项目将给出该过程精度的NNLO+NNLL理论预言。.项目的研究对于深入认识重夸克和重夸克偶素，以及在CPEC上精确测量Higgs相互作用和新物理具有重要的意义。

In this project, we will study the two-loop corrections to some important heavy quarkonium electromagnetic production and decay, which will be used to scrutinize the correctness of NRQCD factorization and test the convergence of the NRQCD perturbative expansion. In addition, we will investigate the ISR correction to the Higgs+Z boson production at CEPC. In concrete,.(1).We will investigate the two-loop corrections to J/ψ electromagnetic decay into three photons. Combing the relativistic corrections, we will present the most accurate NRQCD prediction..(2).We will study the two-loop corrections to J/ψ+χc production at B factories..(3).We will study the two-loop corrections to χc associated production with a photon at B factories. .(4).By utilizing the effective field theory and renormalization group equation, we will investigate the ISR corrections to the Higgs+Z production at CEPC. The appeared large logarithmic terms are resumed. In cooperation with the mixed electroweak-QCD NNLO corrections, we will present the accurate theoretical prediction for this process...The studies in this project will help us better understand the nature of the heavy quark and heavy quarkonium. Our research on Higgs will be beneficial for the precision measurement at CEPC.