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arXiv 1802.04334hep-ph
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顶夸克质量的轻质量味依赖性

On the Light Massive Flavor Dependence of the Top Quark Mass

André H. Hoang, Christopher Lepenik, Moritz Preisser

摘要:

我们提供了一个系统的重整化群方法来研究极质量与短程质量关系中的质量效应,例如重夸克$Q$的$\overline{\mathrm{MS}}$质量,它来自于轻于$Q$的重夸克的虚圈插入,主要关注顶夸克.形式主义反映了来自重夸克对称性的约束,并需要一个组合的匹配和演化过程,允许解开和连续整合出来自较轻质量夸克和它们之间的动量区域的校正,并精确地控制高阶渐近行为。该方法用于研究轻质量味贡献的渐近行为,并用于预测${\cal O}(α_s^4)$虚夸克质量修正,计算大质量夸克味的极质量差,精度约为20 MeV,以及确定三种无质量夸克味的物理情况下的250 MeV的极质量模糊度.

英文摘要:

We provide a systematic renormalization group formalism to study the mass effects in the relation of the pole mass and short-distance masses such as the $\overline{\mathrm{MS}}$ mass of a heavy quark $Q$, coming from virtual loop insertions of massive quarks lighter than $Q$ with the main focus on the top quark. The formalism reflects the constraints from heavy quark symmetry and entails a combined matching and evolution procedure that allows to disentangle and successively integrate out the corrections coming from the lighter massive quarks and the momentum regions between them and also to precisely control the large order asymptotic behavior. The formalism is used to study the asymptotic behavior of light massive flavor contributions and is applied to predict the ${\cal O}(α_s^4)$ virtual quark mass corrections, calculate the pole mass differences for massive quark flavors with a precision of around 20 MeV, and determine the pole mass ambiguity which amounts to 250 MeV in the physical case of three massless quark flavors.

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