Precise Determination of the Bottom-Quark On-Shell Mass Using Its Four-Loop Relation to the MS-Scheme Running Mass

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外文摘要：We explore the properties of the bottom-quark on-shell mass(Mb)by using its relation to the(M)(S)mass((m)b).At present,this (M)(S)-on-shell relation has been known up to four-loop QCD corrections,which however still has a～2％scale uncertainty by taking the renormalization scale as (m)b(m)b)and varying it within the usual range of[(m)b((m)b)/2,2(m)b((m)b)].The principle of maximum conformality(PMC)is adopted to achieve a more precise MS-on-shell relation by eliminating such scale uncertainty.As a step forward,we also estimate the magnitude of the uncalculated higher-order terms by using the Padé approximation approach.Numerically,by using the MS mass(m)b((m)b)=4.183±0.007GeV as an input,our predicted value for the bottom-quark on-shell mass becomes Mb(≌)5.372+-0.091/0.075 GeV,where the uncertainty is the squared average of the ones caused by △αs(Mz),△(m)b((m)b),and the estimated magnitude of the higher-order terms.

作者：

麻顺跃、黄旭东、郑绪昌、吴兴刚

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作者单位：

Department of Physics,Chongqing Key Laboratory for Strongly Coupled Physics,Chongqing University,Chongqing 401331,China

College of Physics and Electronic Engineering,Chongqing Normal University,Chongqing 401331,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaGraduate Research and Innovation Foundation of Chongqing,ChinaFoundation of Chongqing Normal University

项目编号：

121750251224712912347101ydstd191224XLB015

出版年：

2024

DOI：

10.1088/0256-307X/41/10/101201

中国物理快报(英文版)

中国科学院物理研究所,中国物理学会

中国物理快报(英文版)

CSTPCDEI

影响因子：0.515

ISSN：0256-307X

年,卷(期)：2024.41(10)