NLO Productions of ω and K${}_S^0$ with a global extraction of the jet transport parameter in heavy-ion collisions

In this work, we pave the way to calculate the productions of ω and K${}_S^0$ mesons with large p${}_T$ in p+p and A+A collisions both at RHIC and LHC. The fragmentation functions (FFs) of the ω meson in vacuum at next-to-leading order (NLO) are obtained by evolving the NLO DGLAP evolution equations with rescaled ω FFs at initial scale Q${}_0^2$=1.5 GeV${}^2$ from a broken SU(3) model, and the FFs of K${}_S^0$ in vacuum are taken from AKK08 parametrization directly. Within the framework of the NLO pQCD improved parton model, we arrive at good descriptions of the experimental data on ω and K${}_S^0$ in p+p both at RHIC and LHC. With the higher-twist approach, to take into account jet quenching effect by medium-modified FFs, nuclear modification factors for ω meson and K${}_S^0$ meson both at RHIC and LHC are presented with different sets of jet transport coefficients ${\hat{q}}_0$. Then we make a global extraction of ${\hat{q}}_0$ both at RHIC and LHC by confronting our model calculations with all available data on six identified mesons: π${}^0$, η, ρ${}^0$, ϕ, ω, and K${}_S^0$. The minimum value of total χ${}^2$/d.o.f for productions of these mesons gives the best value of ${\hat{q}}_0$=0.5 GeV${}^2$/fm for Au+Au collisions with $\sqrt{s_{NN}}$=200 GeV at RHIC, and ${\hat{q}}_0$=1.2 GeV${}^2$/fm for Pb+Pb collisions with $\sqrt{s_{NN}}$=2.76 TeV at LHC, respectively, with the QGP spacetime evolution given by the event-by-event viscous hydrodynamics model IEBE-VISHNU. With these global extracted values of ${\hat{q}}_0$, nuclear modification factors of π${}^0$, η, ρ${}^0$, ϕ, ω, and K${}_S^0$ in A+A collisions are presented, and predictions of yield ratios such as ω/π${}^0$ and K${}_S^0$/π${}^0$ at the high-p${}_T$ regime in heavy-ion collisions both at RHIC and LHC are provided.