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We present a study for two-quark light-cone distribution amplitudes for the$1^3D_2$ light tensor meson states with quantum number $J^{PC}=2^{--}$. Becauseof the G-parity, the chiral-even two-quark light-cone distribution amplitudesof this tensor meson are antisymmetric under the interchange of momentumfractions of the quark and antiquark in the SU(3) limit, while the chiral-oddones are symmetric. The asymptotic leading-twist LCDAs with the strange quarkmass correction are shown. We estimate the relevant parameters, the decayconstants $f_T$ and $f_T^\perp$, and first Gegenbauer moment $a_1^\perp$, byusing the QCD sum rule method. These parameters play a central role in theinvestigation of $B$ meson decaying into the $2^{--}$ tensor mesons.

Light-Cone Distribution Amplitudes of Light $J^{PC}=2^{--}$ Tensor Mesons in QCD