Strange quark mass from finite energy QCD sum rules to five loops

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(2 {GeV}) = 95 \pm 5 (111 \pm 6) {MeV}

for

\Lambda_{QCD} = 420 (330) {MeV}

, respectively.

Sum Rules
QCD
quark masses

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Figures(0)

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