Mass of the b quark from lattice NRQCD and lattice perturbation theory

被引:24
作者
Lee, A. J. [1 ]
Monahan, C. J. [1 ,2 ]
Horgan, R. R. [1 ]
Davies, C. T. H. [3 ]
Dowdall, R. J. [1 ,3 ]
Koponen, J. [3 ]
机构
[1] Univ Cambridge, Ctr Math Sci, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[2] Coll William & Mary, Dept Phys, Williamsburg, VA 23187 USA
[3] Univ Glasgow, Sch Phys & Astron, SUPA, Glasgow G12 8QQ, Lanark, Scotland
来源
PHYSICAL REVIEW D | 2013年 / 87卷 / 07期
关键词
COUPLING-CONSTANT; GAUGE-THEORIES; SUM-RULES; POLE MASS; QCD; GLUON; (MS)OVER-BAR; SPECTRUM;
D O I
10.1103/PhysRevD.87.074018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a determination of the b-quark mass accurate through O(alpha(2)(s)) in perturbation theory and including partial contributions at O(alpha(3)(s)). Nonperturbative input comes from the calculation of the Upsilon and B-s energies in lattice QCD, including the effect of u, d and s sea quarks. We use an improved NRQCD action for the b quark. This is combined with the heavy quark energy shift in NRQCD determined using a mixed approach of high-beta simulation and automated lattice perturbation theory. Comparison with experiment enables the quark mass to be extracted: in the (MS) over bar scheme we find (m) over bar (b)((m) over bar (b)) = 4.166(43) GeV. DOI: 10.1103/PhysRevD.87.074018
引用
收藏
页数:18
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