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arXiv · 0712.0768

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

Cesareo A. Dominguez·Nasrallah F. Nasrallah·Raoul Röntsch·Karl Schilcher
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Abstract

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.

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Cesareo A. Dominguez, Nasrallah F. Nasrallah, Raoul Röntsch, Karl Schilcher. 2008-05-06. Strange quark mass from Finite Energy QCD sum rules to five loops. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F020

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