Precise determination of the top-quark on-shell mass Mt via its scale-invariant perturbative relation to the top-quark MS mass m_(t)(m_(t))  

作　　者：黄旭东 吴兴刚 郑绪昌 闫江 吴知非 马鸿浩 Xu-Dong Huang;Xing-Gang Wu;Xu-Chang Zheng;Jiang Yan;Zhi-Fei Wu;Hong-Hao Ma(Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China;Department of Physics,Chongqing Key Laboratory for Strongly Coupled Physics,Chongqing University,Chongqing 401331,China;Department of Physics,Guangxi Normal University,Guilin 541004,China)

机构地区：[1]Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China [2]Department of Physics,Chongqing Key Laboratory for Strongly Coupled Physics,Chongqing University,Chongqing 401331,China [3]Department of Physics,Guangxi Normal University,Guilin 541004,China

出　　处：《Chinese Physics C》2024年第5期180-193,共14页中国物理C（英文版）

基　　金：Supported in part by the National Natural Science Foundation of China(12247129,12175025,12347101);the Graduate Research and Innovation Foundation of Chongqing,China(ydstd1912)。

摘　　要：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 usualβ-function and the quark mass anomalous dimensionγm-function.These new degeneracy relations enable improved PMC scale-setting procedures for correct magnitudes of the strong coupling constant and MS¯-running quark mass to be determined simultaneously.By using these improved PMC scale-setting procedures,the renormalization scale dependence of the MS¯-on-shell quark mass relation can be eliminated systematically.Consequently,the top-quark on-shell(or MS¯)mass can be determined without conventional renormalization scale ambiguity.Taking the top-quark MS¯mass m¯t(m¯t)=162.5+2.1−1.5 GeV as the input,we obtain Mt≃172.41+2.21−1.57 GeV.Here,the uncertainties arise from errors combined with those fromΔαs(MZ)and the approximate uncertainty resulting from the uncalculated five-loop terms predicted through the Padéapproximation approach.

关 键 词：perturbative QCD top quark mass RENORMALIZATION 

分 类 号：O57[理学—粒子物理与原子核物理]