通过其与顶夸克质量的尺度不变微扰关系精确测定顶夸克的壳上质量 * * 部分受国家自然科学基金(12247129, 12175025, 12347101)和重庆市研究生科研创新基金(ydstd1912)资助

IF 3.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR
Xu-Dong Huang, Xing-Gang Wu, Xu-Chang Zheng, Jiang Yan, Zhi-Fei Wu, Hong-Hao Ma
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Consequently, the top-quark on-shell (or <inline-formula>\n<tex-math><?CDATA $ \\overline{{\\rm{MS}}} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053113_M7.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>) mass can be determined without conventional renormalization scale ambiguity. Taking the top-quark <inline-formula>\n<tex-math><?CDATA $ \\overline{{\\rm{MS}}} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053113_M8.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> mass <inline-formula>\n<tex-math><?CDATA $ {\\overline m}_t({\\overline m}_t)=162.5^{+2.1}_{-1.5} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053113_M9.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV as the input, we obtain <inline-formula>\n<tex-math><?CDATA $ M_t\\simeq 172.41^{+2.21}_{-1.57} $?></tex-math>\n<inline-graphic xlink:href=\"cpc_48_5_053113_M10.jpg\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> GeV. 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引用次数: 0

摘要

最大共形原理(PMC)为解决传统重正化方案和尺度模糊问题提供了一种系统方法。利用最大共形原理对物理观测值的尺度固定预测与重正化方案的选择无关--这是重正化群不变性的关键要求。在本文中,我们基于重正化群方程推导出了新的退化关系,其中涉及通常的β函数和夸克质量反常维函数。这些新的退化关系使得改进的 PMC 尺度设定程序能够同时确定强耦合常数和运行夸克质量的正确大小。通过使用这些改进的 PMC 尺度设定程序,可以系统地消除壳上夸克质量关系的重正化尺度依赖性。因此,顶夸克的壳上(或)质量可以在没有传统重正化尺度歧义的情况下确定。以顶夸克质量 GeV 作为输入,我们得到 GeV。这里的不确定性来自帕代近似方法预测的未计算五环项的误差和近似不确定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Precise determination of the top-quark on-shell mass via its scale- invariant perturbative relation to the top-quark mass * * Supported in part by the National Natural Science Foundation of China (12247129, 12175025, 12347101) and the Graduate Research and Innovation Foundation of Chongqing, China (ydstd1912)
The principle of maximum conformality (PMC) provides a systematic approach to solve the conventional renormalization scheme and scale ambiguities. Scale-fixed predictions of physical observables using the PMC are independent of the choice of renormalization scheme – a key requirement for renormalization group invariance. In this paper, we derive new degeneracy relations based on the renormalization group equations that involve both the usual β-function and the quark mass anomalous dimension -function. These new degeneracy relations enable improved PMC scale-setting procedures for correct magnitudes of the strong coupling constant and -running quark mass to be determined simultaneously. By using these improved PMC scale-setting procedures, the renormalization scale dependence of the -on-shell quark mass relation can be eliminated systematically. Consequently, the top-quark on-shell (or ) mass can be determined without conventional renormalization scale ambiguity. Taking the top-quark mass GeV as the input, we obtain GeV. Here, the uncertainties arise from errors combined with those from and the approximate uncertainty resulting from the uncalculated five-loop terms predicted through the Padé approximation approach.
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来源期刊
中国物理C
中国物理C 物理-物理:核物理
CiteScore
6.50
自引率
8.30%
发文量
8976
审稿时长
1.3 months
期刊介绍: Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of: Particle physics; Nuclear physics; Particle and nuclear astrophysics; Cosmology; Accelerator physics. The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication. The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal. The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.
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