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

S. Momeni; M. Saghebfar

doi:10.1140/epjc/s10052-022-10413-x

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 473
https://doi.org/10.1140/epjc/s10052-022-10413-x

Regular Article - Theoretical Physics

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

S. Momeni¹^a and M. Saghebfar¹^,2

¹ Department of Electrical Engineering, Shahid Beheshti University, Tehran, Iran
² Optics-Laser Science and Technology Research Center, Malek Ashtar University of Technology, Isfahan, Iran

^a samira.momeni@ph.iut.ac.ir

Received: 9 October 2021
Accepted: 10 May 2022
Published online: 23 May 2022

Abstract

In this work, a Hard-Wall AdS/QCD model with 4 flavours is utilized to calculate the transition form factors for the semileptonic $D \to (V, A, S) ℓ ν_{ℓ}$ $D\rightarrow (V, A, S)\,\ell \,\nu _{\ell }$ . These decays occur by $c \to d ℓ ν_{ℓ}$ $c \rightarrow d\,\ell \,\nu _{\ell }$ transition at quark level for $D^{0} \to ρ^{-} (b_{1}^{-}, a_{1}^{-}, a_{0}^{-}) ℓ ν_{ℓ}$ $D^{0} \rightarrow \rho ^{-}(b_{1}^{-}, a_{1}^{-}, a_{0}^{-})\,\ell \,\nu _{\ell }$ , $D_{s}^{+} \to K_{0} (K_{1 A}^{0}, K_{1 B}^{0}) ℓ ν_{ℓ}$ $D_{s}^{+} \rightarrow K_{0}(K_{1A}^{0}, K_{1B}^{0})\,\ell \,\nu _{\ell }$ decays while the semileptonic decays $D^{0} \to K^{_{* -}} (K_{1 A}^{_{-}}, K_{1 B}^{_{-}}, K_{0}^{_{-}})$ $D^{0} \rightarrow K^{_{*-}}(K_{1A}^{_-}, K_{1B}^{_-}, K_{0}^{_-})$ $ℓ ν_{ℓ}$ $\ell \,\nu _{\ell }$ and $D^{+} \to {\bar{K}}_{0} ({\bar{K}}_{1 A}^{0}, {\bar{K}}_{1 B}^{0}) ℓ ν_{ℓ}$ $D^{+} \rightarrow {\bar{K}}_{0}({\bar{K}}_{1A}^{0}, {\bar{K}}_{1B}^{0})\,\ell \,\nu _{\ell }$ proceed by $c \to s ℓ ν_{ℓ}$ $c \rightarrow \, s\, \ell \,\nu _{\ell }$ 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.

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