Light-cone distribution amplitudes of light = 2 tensor mesons in QCD

We present a study for two-quark light-cone distribution amplitudes for the ${1}^{3}{D}_{2}$ light tensor meson states with quantum number ${J}^{PC}={2}^{--}$. Because of the G-parity, the chiral-even two-quark light-cone distribution amplitudes of this tensor meson are antisymmetric under the interchange of momentum fractions of the quark and antiquark in the SU(3) limit, while the chiral-odd ones are symmetric. The asymptotic leading-twist LCDAs with the strange quark mass correction are shown. We estimate the relevant parameters, the decay constants ${f}_{T}$ and ${f}_{T}^{\perp }$, and first Gegenbauer moment ${a}_{1}^{\perp }$, by using the QCD sum rule method. These parameters play a central role in the investigation of B meson decaying into the ${2}^{--}$ tensor mesons.