2++ Light tensor hybrid meson from QCD Laplace sum rules

We present an analysis of the light tensor ( J P C = 2 + + ) hybrid meson mass and coupling from QCD Laplace Sum Rules where the next-to-leading order (NLO) perturbative (PT) corrections and the contributions of the non-perturbative (NP) condensates up to dimension-six ( D = 6 ) are included. NLO leading-logarithms corrections due to the condensates which contribute in the chiral limit are considered. We obtain the mass M 2 + = ( 2038 ± 190 ) MeV and a relatively small coupling f 2 + = ( 10.5 ± 2.9 ) MeV normalized as f π = 93 MeV. Our results suggest that the f 2 (1950) or/and the f 2 ′ ( 2010 ) may have a sizeable q ¯ q g hybrid component. We also compute the tensor hybrid topological charge (value of the two-point function at zero momentum) and find (for the first time) at NLO: Π q g ( 0 ) = ( 2.41 ± 0.43 ) × 10 − 4 G e V 6 which could be checked from some lattice QCD or/and low energy theorems (LET).