$2^{++}$ Tensor Di-Gluonium from Laplace Sum Rules at NLO

We evaluate the next-to-leading (NLO) corrections to the perturbative (PT) and $< α_{s} G^{2} >$ condensate and the LO constant term of the $< G^{3} >$ 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,: $M_{T} = 3028 (287)$ MeV and the renormalization group invariant (RGI) coupling ${\hat{f}}_{T} = 224 (33)$ MeV within a vacuum saturation estimate of the $D = 8$ dimension gluon condensates ( $k_{G} = 1$ ). We study the effect of $k_{G}$ on the result and find: $M_{T} = 3188 (337)$ MeV and ${\hat{f}}_{T}$ =245(32) MeV for $k_{G} = (3 \pm 2)$ . Our result does not favour the pure gluonia/glueball nature of the observed $f_{2} (2010, 2300, 2340)$ states.

$2^{+ +}$ Tensor Di-Gluonium from Laplace Sum Rules at NLO

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$2^{+ +}$ Tensor Di-Gluonium from Laplace Sum Rules at NLO

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2++2++ Tensor Di-Gluonium from Laplace Sum Rules at NLO

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2++2++ Tensor Di-Gluonium from Laplace Sum Rules at NLO

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$2^{+ +}$ Tensor Di-Gluonium from Laplace Sum Rules at NLO

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$2^{+ +}$ Tensor Di-Gluonium from Laplace Sum Rules at NLO

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