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

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 ${\Lambda }_{QCD}$. 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 $m_s(2GeV)=95\pm 5(111\pm 6)MeV$ for ${\Lambda }_{QCD}=420(330)MeV$, respectively.

arXiv commentAdditional comments added at the end of the Conclusions, and one extra reference is given. A note added in proof uses the most recent determination of Lambda_QCD from ALEPH to narrow down the prediction

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