Strange quark mass from Finite Energy QCD sum rules to five loops
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Additional 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
Additional 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