Updating $\bar m_{c,b}(\bar m_{c,b})$ from SVZ-moments and their ratios

Stephan Narison (1)

1 LUPM - Laboratoire Univers et Particules de Montpellier

Using recent values of αs , the gluon condensates 〈αsG2〉 and 〈g3fabcG3〉 and the new data on the ψ/ϒ -families, we update our determinations of the MS‾ running quark masses m‾c,b(m‾c,b) from the SVZ-moments Mn(Q2) and their ratios [1,2] by including higher order perturbative (PT) corrections, non-perturbative (NPT) terms up to dimension d=8 and using the degree n -stability criteria of the (ratios of) moments. Optimal results from different (ratios of) moments converge to the accurate mean values: m‾c(m‾c)=1264(6)MeV and m‾b(m‾b)=4188(8)MeV in Table 4, which improve and confirm our previous findings [1,2] and the recent ones from Laplace sum rules [3] . Comments on some other determinations of m‾c(m‾c) and 〈αsG2〉 from the SVZ-(ratios of) moments in the vector channel are given in Section 5 .

Mots clés: QCD spectral sum rules; Perturbative and non-pertubative calculations; Heavy quark masses; Gluon condensates; Perturbative and non-perturbative calculations; gluon: condensation; sum rule: Laplace; heavy quark: mass; charm: mass; bottom: mass; correction: nonperturbative; dimension: 8; Q004M; Q005M

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Expérience [hep-ex]; Physique des Hautes Energies - Réseau [hep-lat]

Stephan Narison. Updating $\bar m_{c,b}(\bar m_{c,b})$ from SVZ-moments and their ratios. Phys.Lett.B, 2018, 784, pp.261-265. ⟨10.1016/j.physletb.2018.08.003⟩. ⟨hal-01861906⟩