arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0712.0768hep-phhep-lat
收藏

从有限能量QCD求和规则到五圈的奇异夸克质量

Strange quark mass from Finite Energy QCD sum rules to five loops

Cesareo A. Dominguez, Nasrallah F. Nasrallah, Raoul Röntsch, Karl Schilcher

摘要:

奇夸克质量是由一个新的QCD有限能量和规则(FESR)确定的,该规则被优化以大大减少强子共振扇区引起的系统不确定性。因此,该测定中的主要不确定度是由于$Λ_{QCD}$的值。在固定阶(FOPT)和轮廓改进微扰理论(CIPT)的框架下,将轴矢发散相关器用于微扰QCD到五圈阶,包括夸克和胶子凝聚的贡献。后者表现出非常好的收敛性,导致在非常宽的范围$s_0 = 1.0 - 4.0 {GeV}^2$,其中$s_0$是在复杂的能量(平方)平面的积分轮廓的半径非常稳定的结果。在2 GeV的尺度下,该框架中的奇异夸克质量值分别为$m_s(2 {GeV}) = 95 \pm 5 (111 \pm 6) {MeV}$和$Λ_{QCD} = 420 (330) {MeV}$。

英文摘要:

The strange quark mass is determined from a new QCD Finite Energy Sum Rule (FESR) optimized to reduce considerably the systematic uncertainties arising from the hadronic resonance sector. As a result, the main uncertainty in this determination is due to the value of $Λ_{QCD}$. The correlator of axial-vector divergences is used in perturbative QCD to five-loop order, including quark and gluon condensate contributions, in the framework of both Fixed Order (FOPT), and Contour Improved Perturbation Theory (CIPT). The latter exhibits very good convergence, leading to a remarkably stable result in the very wide range $s_0 = 1.0 - 4.0 {GeV}^2$, where $s_0$ is the radius of the integration contour in the complex energy (squared) plane. The value of the strange quark mass in this framework at a scale of 2 GeV is $m_s(2 {GeV}) = 95 \pm 5 (111 \pm 6) {MeV}$ for $Λ_{QCD} = 420 (330) {MeV}$, respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑