Purely leptonic decays of the ground charged vector mesons

Yueling Yang; Zhenglin Li; Kang Li; Jinshu Huang; Junfeng Sun

doi:10.1140/epjc/s10052-021-09908-w

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 1110
https://doi.org/10.1140/epjc/s10052-021-09908-w

Regular Article - Theoretical Physics

Purely leptonic decays of the ground charged vector mesons

Yueling Yang¹^a, Zhenglin Li¹, Kang Li¹, Jinshu Huang² and Junfeng Sun¹^e

¹ Institute of Particle and Nuclear Physics, Henan Normal University, 453007, Xinxiang, China
² School of Physics and Electronic Engineering, Nanyang Normal University, 473061, Nanyang, China

^a yangyueling@htu.edu.cn
^e sunjunfeng@htu.edu.cn

Received: 2 November 2021
Accepted: 5 December 2021
Published online: 16 December 2021

Abstract

The study of the purely leptonic decays of the ground charged vector mesons is very interesting and significant in determining the CKM matrix elements, obtaining the decay constant of vector mesons, examining the lepton flavor universality, and searching for new physics beyond the standard model. These purely leptonic decays of the ground charged vector mesons are induced by the weak interactions within the standard model, and usually have very small branching ratios, $B (ρ^{-} \to ℓ^{-} ν_{ℓ})$ $\mathcal{B}({\rho }^{-}{\rightarrow }{\ell }^{-}{\nu }_{\ell })$ $\sim$ ${\sim }$ $O (10^{- 13})$ $\mathcal{O}(10^{-13})$ , $B (K^{* -} \to ℓ^{-} ν_{ℓ})$ ${{{\mathcal {B}}}}(K^{{*}-}{\rightarrow }{\ell }^{-}{\nu }_{\ell })$ $\sim$ ${\sim }$ $O (10^{- 13})$ ${{{\mathcal {O}}}}(10^{-13})$ , $B (D_{d}^{* -} \to ℓ^{-} ν_{ℓ})$ $\mathcal{B}(D_{d}^{{*}-}{\rightarrow }{\ell }^{-}{\nu }_{\ell })$ $\sim$ ${\sim }$ $O (10^{- 10})$ $\mathcal{O}(10^{-10})$ , $B (B_{u}^{* -} \to ℓ^{-} ν_{ℓ})$ $\mathcal{B}(B_{u}^{{*}-}{\rightarrow }{\ell }^{-}{\nu }_{\ell })$ $\sim$ ${\sim }$ $O (10^{- 10})$ $\mathcal{O}(10^{-10})$ , $B (D_{s}^{* -} \to ℓ^{-} ν_{ℓ})$ $\mathcal{B}(D_{s}^{{*}-}{\rightarrow }{\ell }^{-}{\nu }_{\ell })$ $\sim$ ${\sim }$ $O (10^{- 6})$ $\mathcal{O}(10^{-6})$ and $B (B_{c}^{* -} \to ℓ^{-} ν_{ℓ})$ $\mathcal{B}(B_{c}^{{*}-}{\rightarrow }{\ell }^{-}{\nu }_{\ell })$ $\sim$ ${\sim }$ $O (10^{- 6})$ $\mathcal{O}(10^{-6})$ . Inspired by the potential prospects of LHCb, Belle-II, STCF, CEPC and FCC-ee experiments, we discussed the probabilities of experimental investigation on these purely leptonic decays. It is found that the measurements of these decays might be possible and feasible with the improvement of data statistics, analytical technique, and measurement precision in the future. (1) With the hadron-hadron collisions, the purely leptonic decays of $ρ^{-}$ ${\rho }^{-}$ , $K^{* -}$ $K^{{*}-}$ , $D_{d, s}^{* -}$ $D_{d,s}^{{*}-}$ and $B_{u, c}^{* -}$ $B_{u,c}^{{*}-}$ mesons might be accessible at LHC experiments. (2) With the $e^{+} e^{-}$ $e^{+}e^{-}$ collisions, the purely leptonic decays of $D_{d, s}^{* -}$ $D_{d,s}^{{*}-}$ and $B_{u, c}^{* -}$ $B_{u,c}^{{*}-}$ mesons might be measurable with over $10^{12}$ $10^{12}$ $Z^{0}$ $Z^{0}$ bosons available at CEPC and FCC-ee experiments. In addition, the $D_{d, s}^{* -}$ $D_{d,s}^{{*}-}$ $\to$ ${\rightarrow }$ $ℓ^{-} ν_{ℓ}$ ${\ell }^{-}{\nu }_{\ell }$ decays could also be studied at Belle-II and SCTF experiments.

© The Author(s) 2021

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