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arXiv 1606.01741hep-ph
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NNNLO的Uppermant(1S)底夸克质量的更新

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

Cesar Ayala, Gorazd Cvetic, Antonio Pineda

摘要:

我们更新了微扰确定的MSbar底夸克质量mb(mb),包括最近获得的四圈系数之间的关系的极点和MSbar质量。首先由已知的Upperton(1S)介子质量确定减去重正马龙的质量(RS或RS '),其中我们利用由三圈静态单重态势系数的渐近行为得到的重正马龙留数Nm。然后使用RS(RS ')和MSbar质量之间的4环无重正马龙关系获得MSbar质量。我们认为,占的魅力夸克质量的影响,有效地使用Nf=3的质量关系。所提取的值为mb(mb)= 4222(40)MeV,其中不确定性由重整化标度依赖性主导。

英文摘要:

We update our perturbative determination of MSbar bottom quark mass mb(mb), by including the recently obtained four-loop coefficient in the relation between the pole and MSbar mass. First the renormalon subtracted (RS or RS') mass is determined from the known mass of the Upsilon(1S) meson, where we use the renormalon residue Nm obtained from the asymptotic behavior of the coefficient of the 3-loop static singlet potential. MSbar mass is then obtained using the 4-loop renormalon-free relation between the RS (RS') and MSbar 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.

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