Mass of the bottom quark from Upsilon(1S) at NNNLO: an update

[摘要] We update our perturbative determination of MS mass mb(mb), by including the recently obtained four-loop coefficient in the relation between the pole and MS mass. First the renormalon subtracted (RS or RS') mass is determined from the known mass of the Y(1S) meson, where we use the renormalon residue Nmobtained from the asymptotic behavior of the coefficient of the 3-loop static singlet potential. MS mass is then obtained using the 4-loop renormalon-free relation between the RS (RS') and MS mass. We argue that the effects of the charm quark mass are accounted for by effectively using Nf= 3 in the mass relations. The extracted value is mb(mb) = 4222(40) MeV, where the uncertainty is dominated by the renormalization scale dependence.

[发布机构] Department of Theoretical Physics, IFIC, University of Valencia, CSIC, Valencia, Spain^1;Physics Department, Universidad Técnica Federico Santa María, Valparaíso, Chile^2;Physics Department, Universitat Autònoma de Barcelona, IFAE, Barcelona, Spain^3

[效力级别] 计算机科学 [学科分类] 计算机科学（综合）

[关键词] Asymptotic behaviors;Bottom quarks;Charm quark mass;Renormalization;Scale dependence