from @N2LO
arXiv:1812.09360
Abstract
This note complements and clarifies the results obtained in the original paper {\it QCD Parameters Correlations from Heavy Quarkonia} [1] where, here, we present a more detailed discussion of the α_s-results obtained @ N2LO at two different subtraction scales μ=2.85 and 9.50 GeV from the (pseudo)scalar heavy quarkonia mass-spliitings M_{χ_{0c(0b)}}-M_{η_{c(b)}}. We obtain from the M_{χ_{0c}}-M_{η_{c}} sum rule: α_s(2.85)=0.262(9) --> α_s(M_τ)=0.318(15) --> α_s(M_Z)=0.1183(19)(3) and from the M_{χ_{0b}}-M_{η_{b}} one: α_s(9.50)=0.180(8) --> α_s(M_τ)=0.312(27) --> α_s(M_Z)=0.1175(32)(3), in complete agreement with the world average: α_s(M_Z)=0.1181(11).
3 pages, 2 figures, to appear in IJMPA, presented at QCD18 (2-6 july 2018, Montpellier-FR) and at HEPMAD18 (6-11 september 2018, Antananarivo-MG). arXiv admin note: substantial text overlap with arXiv:1801.00592