Non-perturbative effects for the isoscalar light vector $$\omega $$-meson in charmed meson semileptonic decays

Abstract Motivated by the renewed attention from the recent BESIII experiment on the semileptonic decay $$D\rightarrow V \ell \nu _{\ell }$$ D → V ℓ ν ℓ (where V denotes a vector meson), we investigate semileptonic decay $$D^+\rightarrow \omega \ell ^+\nu _{\ell }$$ D + → ω ℓ + ν ℓ within the framework of QCD light-cone sum rule in this work. By constructing correlation function with right-handed chiral current, the transverse twist-2 light-cone distribution amplitudes (LCDA) $$\phi ^{\perp }_{2;\omega }(x,\mu )$$ ϕ 2 ; ω ⊥ ( x , μ ) dominates the contribution in TFFs. We study the properties of twist-2 LCDA $$\phi ^{\perp }_{2;\omega }(x,\mu )$$ ϕ 2 ; ω ⊥ ( x , μ ) through light-cone harmonic oscillator model. Applying it to the TFFs, we obtained $$A_1(0)=0.537^{+0.053}_{-0.053}$$ A 1 ( 0 ) = 0 . 537 - 0.053 + 0.053 , $$A_2(0)=0.540^{+0.068}_{-0.068}$$ A 2 ( 0 ) = 0 . 540 - 0.068 + 0.068 , $$V(0)=0.754^{+0.079}_{-0.079}$$ V ( 0 ) = 0 . 754 - 0.079 + 0.079 , and $$A_0(0)=0.553^{+0.044}_{-0.043}$$ A 0