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Article Dans Une Revue Phys.Lett.B Année : 2024

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

S Li
  • Fonction : Auteur
T Steele
  • Fonction : Auteur
D Rabetiarivony
  • Fonction : Auteur

Résumé

We evaluate the next-to-leading (NLO) corrections to the perturbative (PT) and $< \alpha_s G^2>$ 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.

Dates et versions

hal-04211460 , version 1 (19-09-2023)

Identifiants

Citer

S Li, S Narison, T Steele, D Rabetiarivony. $2^{++}$ Tensor Di-Gluonium from Laplace Sum Rules at NLO. Phys.Lett.B, 2024, 849, pp.138454. ⟨10.1016/j.physletb.2024.138454⟩. ⟨hal-04211460⟩
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