Résumé
We briefly report the modern status of heavy quark sum rules (HQSR) based on stability criteria by emphasizing the recent progresses for determining the QCD parameters (αs, mc,b and gluon condensates) where their correlations have been taken into account. The results: αs(MZ) = 0.1181(16)(3), <math altimg="si1.svg"><msub><mrow><mover accent="true"><mrow><mi>m</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>c</mi></mrow></msub><mo stretchy="false">(</mo><msub><mrow><mover accent="true"><mrow><mi>m</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>c</mi></mrow></msub><mo stretchy="false">)</mo><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>1286</mn><mo stretchy="false">(</mo><mn>16</mn><mo stretchy="false">)</mo><mspace width="0.25em"/><mtext>MeV</mtext></math>, <math altimg="si2.svg"><msub><mrow><mover accent="true"><mrow><mi>m</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>b</mi></mrow></msub><mo stretchy="false">(</mo><msub><mrow><mover accent="true"><mrow><mi>m</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>b</mi></mrow></msub><mo stretchy="false">)</mo><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>4202</mn><mo stretchy="false">(</mo><mn>7</mn><mo stretchy="false">)</mo><mspace width="0.25em"/><mtext>MeV</mtext></math>, 〈αsG<sup loc="post">2</sup>〉 = (6.49±0.35)×10<sup loc="post">−2</sup> GeV<sup loc="post">4</sup>, 〈g<sup loc="post">3</sup>G<sup loc="post">3</sup>〉 = (8.2±1.0)×GeV<sup loc="post">2</sup>〈αsG<sup loc="post">2</sup>〉 and the ones from recent light quark sum rules are summarized in Table 2. One can notice that the SVZ value of 〈αsG<sup loc="post">2</sup>〉 has been underestimated by a factor 1.6, 〈g<sup loc="post">3</sup>G<sup loc="post">3</sup>〉 which is much bigger than the instanton liquid model estimate, while the four-quark condensate which mixes under renormalization is incompatible with the vacuum saturation by a factor (2 ∼ 4). The uses of HQSR for molecules and tetraquarks states are commented.