The hybrid meson is one of the most interesting new hadron specie beyond the naive quark model. It acquire a great attention both from the theoretical and experimental efforts. Many good candidates have been claimed to be observed, but there is no absolute confirmation about existence of hybrid mesons.In the present work we propose new calculations of the masses and decay widths of the hybrid mesons in the context of constituent gluon model.

We present new results concerning the masses and the decay widths of the most interesting hybrid meson states taking as inputs the gluon mass mg and the nonperturbative QCD running coupling constant αs(0) coming from both LQCD and SDE recent estimations.

The exotic JPC=1−+resonance π11600 is examined in the framework of the Quark Model with Constituent Gluon (QMCG). We report the possibility of interpreting that resonance as qq¯g meson, with a masse ≃1.65−0.04+0.05 GeV, and a decay width to ρπ≃0.28−0.09+0.14 GeV.

We present cross-section predictions for the isolated diphoton production in next-to-next-to-leading order (NNLO) QCD using the computational framework MATRIX. Both the integrated and the differential fiducial cross-sections are calculated. We found that the arbitrary setup of the isolation procedure introduces uncertainties with a size comparable to the estimation of the theoretical uncertainties obtained with the customary variation of the factorization and renormalization scales. This fact is taken into account in the final result.

We study the photon spectrum in the radiative decays of the charmonium 1 Γ dΓ(J/ψ→γgg) dz as an excellent scene for hunting the exotic mesons (hybrids q qg and glueballs gg) and an ideal frame for the theoretical and phenomenological investigations of the gluon nature in IR, by subtle estimation of its non-zero effective mass which seems required in Quark-Gluon Constituent Model (QGCM) for identifying the nature of these exotic species.