Abstract
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.
基金项目
National Natural Science Foundation of China(12175025)
National Natural Science Foundation of China(12247129)
National Natural Science Foundation of China(12347101)
Graduate Research and Innovation Foundation of Chongqing,China(ydstd1912)
Foundation of Chongqing Normal University(24XLB015)
万方数据