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

2023/09/04 by Li, S., Narison, S., Steele, T. +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2309.01773

Abstract

We evaluate the next-to-leading (NLO) corrections to the perturbative (PT) and < α_s G²> 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 : M_T=3028(287) MeV and the renormalization group invariant (RGI) coupling 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 f_T=245(32) MeV for k_G=(3± 2). Our result does not favour the pure gluonia/glueball nature of the observed f₂(2010,2300,2340) states.

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