高能物理过程中QCD重整化能标的设定及其应用

提高微扰QCD理论的计算精度无论是对标准模型的精确检验，还是对各种新物理模型做出可靠的唯象学预言都具有极其重要的意义。将微扰QCD展开表达式考虑到无穷阶的理论预言与所选择的重整化标度及重整化方案无关；但对于特定微扰阶数的计算，采用不同重整化方案及重整化能标往往会导致不同的理论结果。如何在特定微扰论阶数下得到可靠且准确的QCD预言仍是当前国际上没能很好解决的问题。最大共形原理（PMC）提供了一种可能的解决途径。我们将对PMC机制做系统研究，并结合强子对撞机TEVATRON以及LHC上已有的或新获得的实验数据深入研究重味粒子的产生及衰变性质。我们将利用PMC机制来系统设定QCD微扰过程中所涉及到的重整化能标，完成所需要的高阶圈图计算，并利用PMC有效能标间的匹配关系得到与重整化方案无关且收敛性更强的理论预言。我们将利用PMC机制详细分析处理相关的高阶微扰过程，并探讨其中可能存在的新物理现象。

A precise perturbative QCD estimation is very important not only for testing the standard model but also for seeking new physics beyond the standard model. The prediction of the perturbative QCD is renormalization-scheme and renormalization-scale independent when working to all orders. However in finite- order analyses different schemes and scales may lead to quite different estimations. At the present, how to get a precise QCD prediction under the fixed-order calculation is not well-solved. A key difficulty is the uncertainty in determining the renormalization scale of the running coupling. The principle of maximum conformality (PMC) provides a possible solution for dealing with such question. We shall first make a detailed study on PMC, and then shall adopt it to study the heavy-flavored particles's production and decay properties with the help of the newly forthcoming experimental data at the B-factory, the hadronic colliders TEVATRON and LHC. Especially, we shall adopte the PMC to set the QCD effective scales so as to get scheme-independent estimations even at the finit order. For the purpose, we shall finish all the necessary higher-order loop-calculations and find the commensurate relations among different PMC effective scales, and then derive a more convergent/reliable pertubative expansion. Further more, we shall present a detailed study on the properties of PMC, which shall be used in a wide perturbative calculations, such as to deal with the B-physics and top-quark physics and to find possible new physics in these interesting processes.