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, mathcal{B}({rho }^{-}{rightarrow }{ell }^{-}{nu }_{ell }){sim }mathcal{O}(10^{-13}), {{{mathcal {B}}}}(K^{{*}-}{rightarrow }{ell }^{-}{nu }_{ell }){sim }{{{mathcal {O}}}}(10^{-13}), mathcal{B}(D_{d}^{{*}-}{rightarrow }{ell }^{-}{nu }_{ell }){sim }mathcal{O}(10^{-10}), mathcal{B}(B_{u}^{{*}-}{rightarrow }{ell }^{-}{nu }_{ell }){sim }mathcal{O}(10^{-10}), mathcal{B}(D_{s}^{{*}-}{rightarrow }{ell }^{-}{nu }_{ell }){sim }mathcal{O}(10^{-6}) and mathcal{B}(B_{c}^{{*}-}{rightarrow }{ell }^{-}{nu }_{ell }){sim }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 {rho }^{-}, K^{{*}-}, D_{d,s}^{{*}-} and B_{u,c}^{{*}-} mesons might be accessible at LHC experiments. (2) With the e^{+}e^{-} collisions, the purely leptonic decays of D_{d,s}^{{*}-} and B_{u,c}^{{*}-} mesons might be measurable with over 10^{12}Z^{0} bosons available at CEPC and FCC-ee experiments. In addition, the D_{d,s}^{{*}-}{rightarrow }{ell }^{-}{nu }_{ell } decays could also be studied at Belle-II and SCTF experiments.

Highlights

  • Tem are respectively L and S, where S = 0 for antiparallel quark spins, and S = 1 for parallel quark spins

  • Considering the fact that leptons are free from the strong interactions, the corresponding effective Hamiltonian [4] for purely leptonic decays of the charged mesons (PLDCM) could be written as the product of quark currents and leptonic currents, Heff

  • The hadronic matrix elements (HMEs) interpolating the diquark currents between the mesons concerned and the vacuum can be parameterized by the decay constants

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Summary

Introduction

Within the standard model (SM) of elementary particles, the purely leptonic decays of the charged mesons (PLDCM) are typically induced by the treelevel exchange of the gauge bosons W , the quanta of the weak interaction fields. J. C (2021) 81:1110 and Vq1q2 is the Cabibbo–Kobayashi–Maskawa (CKM) [5,6] matrix element between the quarks in the charged mesons. The hadronic matrix elements (HMEs) interpolating the diquark currents between the mesons concerned and the vacuum can be parameterized by the decay constants. Where the nonperturbative parameters of f P and fV are the decay constants of pseudoscalar P and vector V mesons, respectively; and mV and μ are the mass and polarization vector, respectively.

P mP m2
Summary
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