Semileptonic D meson decays to the vector, axial vector and scalar mesons in Hard-Wall AdS/QCD correspondence

Abstract

AbstractIn this work, a Hard-Wall AdS/QCD model with 4 flavours is utilized to calculate the transition form factors for the semileptonic $$D\rightarrow (V, A, S)\,\ell \,\nu _{\ell }$$ D → ( V , A , S ) ℓ ν ℓ . These decays occur by $$c \rightarrow d\,\ell \,\nu _{\ell }$$ c → d ℓ ν ℓ transition at quark level for $$D^{0} \rightarrow \rho ^{-}(b_{1}^{-}, a_{1}^{-}, a_{0}^{-})\,\ell \,\nu _{\ell }$$ D 0 → ρ - ( b 1 - , a 1 - , a 0 - ) ℓ ν ℓ , $$D_{s}^{+} \rightarrow K_{0}(K_{1A}^{0}, K_{1B}^{0})\,\ell \,\nu _{\ell }$$ D s + → K 0 ( K 1 A 0 , K 1 B 0 ) ℓ ν ℓ decays while the semileptonic decays $$D^{0} \rightarrow K^{_{*-}}(K_{1A}^{_-}, K_{1B}^{_-}, K_{0}^{_-})$$ D 0 → K ∗ - ( K 1 A - , K 1 B - , K 0 - ) $$\ell \,\nu _{\ell }$$ ℓ ν ℓ and $$D^{+} \rightarrow {\bar{K}}_{0}({\bar{K}}_{1A}^{0}, {\bar{K}}_{1B}^{0})\,\ell \,\nu _{\ell }$$ D + → K ¯ 0 ( K ¯ 1 A 0 , K ¯ 1 B 0 ) ℓ ν ℓ proceed by $$c \rightarrow \, s\, \ell \,\nu _{\ell }$$ c → s ℓ ν ℓ transition. The masses and decay constants of scalar mesons as well as the form factors and the branching ratios of aforementioned decays are calculated in our model, and a comparison is also made between our results and predictions of other theoretical methods and the existing experimental values.