The Higgs boson inclusive decay channels $$H \rightarrow b\bar{b}$$H→bb¯ and $$H \rightarrow gg$$H→gg up to four-loop level
The Higgs boson inclusive decay channels $$H \rightarrow b\bar{b}$$H→bb¯ and $$H \rightarrow gg$$H→gg up to four-loop level
复制标题
DOI：
10.1140/epjc/s10052-014-2825-3
复制
发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
Sheng-Quan Wang;Xing-Gang Wu;Xu-Chang Zheng;Jian-Ming Shen;Qiong-Lian Zhang
中科院分区：
文献类型：
--
作者：
Sheng-Quan Wang;Xing-Gang Wu;Xu-Chang Zheng;Jian-Ming Shen;Qiong-Lian Zhang
最大一致性原理(PMC)被提出用来消除重整化方案和重整化标度不确定性，这在传统的标度设置中是不可避免的，通常是理论估计的重要误差。本文通过应用PMC标度设置，分析了两个重要的包容性标准模型Higgs衰变通道，并分别分析了四圈和三圈能级。在PMC标度设置后，发现这两个通道的常规标度不确定性可以在很大程度上消除。由于未知的高阶项，希格斯衰变宽度存在较小的初始剩余尺度依赖关系。在四环水平下，我们得到MeV，而在三环水平上，我们得到MeV，其中第一个误差是由变化的GeV引起的，第二个误差是由变化的质量GeV引起的。作为例子，我们给出了三种基于BLM的尺度设置方法的比较，例如基于PMC-BLM对应的PMC-I方法、-方案和seBLM方法，所有这些方法都是为了提供在每个扰动阶处识别非共形级数的有效方法。在四圈水平上，所有这些方法都有很好的pQCD收敛，它们具有几乎相同的pQCD级数，并且它们的预测几乎独立于初始重整化尺度。从这个意义上说，这些方法是相互等价的。
The principle of maximum conformality (PMC) has been suggested to eliminate the renormalization scheme and renormalization scale uncertainties, which are unavoidable for the conventional scale setting and are usually important errors for theoretical estimations. In this paper, by applying PMC scale setting, we analyze two important inclusive Standard Model Higgs decay channels,and, up to four-loop and three-loop levels, respectively. After PMC scale setting, it is found that the conventional scale uncertainty for these two channels can be eliminated to a high degree. There is small residual initial scale dependence for the Higgs decay widths due to unknown higher-orderterms. Up to four-loop level, we obtainMeV and up to three-loop level, we obtainMeV, where the first error is caused by varyingGeV and the second error foris caused by varying the-running massGeV. Takingas an example, we present a comparison of three BLM-based scale-setting approaches, e.g. the PMC-I approach based on the PMC–BLM correspondence, the-scheme and the seBLM approach, all of which are designed to provide effective ways to identify non-conformal-series at each perturbative order. At four-loop level, all those approaches lead to good pQCD convergence, they have almost the same pQCD series, and their predictions are almost independent on the initial renormalization scale. In this sense, those approaches are equivalent to each other.