Precision physics of heavy quarks in the LHC era

我们提出了“权函数法”，发展在LHC实验中精确测量粒子的属性。其优点如下：（1）该方法只考虑了衰变产物中轻子的能量分布，对强子化模型和初态辐射的不确定性的依赖性较低;（2）在理想情况下，该方法与粒子的速度分布无关，对部分子分布函数和初态辐射的不确定性的影响较小。我们首先证明了该方法对希格斯质量测定的适用性。目前，我们正在发展重建顶夸克质量的方法，并发展了计算高阶辐射修正的算法。作为应用，我们完成了对重夸克偶素谱的次-首阶修正的计算。

We proposed the "weight function method" developed for precise measurements of particle's properties at LHC experiments. The advantages are as follows: (1)Only the energy distribution of a lepton included in the decay products is used, hence dependence on uncertainties of hadronization models and intial-state radiations is low; (2)Ideally the method is independent of particle's velocity distribution, hence effects of uncertainties in parton distribution functions and initial-state radiation are low. We first showed applicability of the method to the Higgs mass determination. Now we are developing method for reconstructing the top quark mass.We also developed algorithms for computing higher-order radiative corrections. As an application, we completed computation of the next-to-next-to-next-to-leading order corrections to the heavy quarkonium spectrum.