Abstract
We evaluate the next-to-leading (NLO) corrections to the perturbative (PT) and 〈αsG2〉 condensate and the LO constant term of the 〈G3〉 contributions to the 2++ tensor di-gluonium two-point correlator. Using these results into the inverse Laplace transform sum rules (LSR) moments and their ratio, we estimate the mass and coupling of the lowest ground state. We obtain: MT=3028(429) MeV and the renormalization group invariant (RGI) coupling fˆT=167(40) MeV within a vacuum saturation estimate of the D=8 dimension gluon condensates (kG=1). We study the effect of kG on the result and find: MT=3188(405) MeV and fˆT=164(28) MeV for kG=(3±2). Absolute upper bounds for the mass and coupling from the positivity of the spectral function are also derived. Our result does not favour the pure gluonia/glueball nature of the observed f2(2010,2300,2340) states.
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