Abstract
We analyze the charged lepton flavor violating (CLFV) decays of vector mesons $V\ensuremath{\rightarrow}{l}_{i}^{\ifmmode\pm\else\textpm\fi{}}{l}_{j}^{\ensuremath{\mp}}$ with $V\ensuremath{\in}{\ensuremath{\phi},J/\mathrm{\ensuremath{\Psi}},\mathrm{\ensuremath{\Upsilon}},{\ensuremath{\rho}}^{0},\ensuremath{\omega}}$ in the BLMSSM model. This new model is introduced as a supersymmetric extension of the Standard Model (SM), where local gauged baryon number $B$ and lepton number $L$ are considered. The numerical results indicate the BLMSSM model can produce significant contributions to such two-body CLFV decays, and the branching ratios to these CLFV processes can easily reach the present experimental upper bounds. Therefore, searching for CLFV processes of vector mesons may be an effective channel to study new physics.
Highlights
The neutrino oscillation experiments have convinced us that neutrinos possess tiny masses and mix with each other [1,2,3,4,5,6,7,8,9]
This phenomenon shows that the charged lepton flavor violating (CLFV) process [10,11,12] is strongly suppressed in the standard model (SM)
In the frame of the BLMSSM, we study the CLFV decays for vector mesons V → lÆi l∓j with V ∈ fφ; J=Ψ; Υ; ρ0; ωg and li, lj ∈ fe; μ; τg
Summary
The neutrino oscillation experiments have convinced us that neutrinos possess tiny masses and mix with each other [1,2,3,4,5,6,7,8,9] This phenomenon shows that the charged lepton flavor violating (CLFV) process [10,11,12] is strongly suppressed in the standard model (SM). The CLFV processes of vector mesons (φðJ=Ψ; Υ; ρ0; ωÞ → eþμ− and J=ΨðΥÞ → eþτ−ðμþτ−Þ) are investigated within the BLMSSM. Leff 1⁄4 Vνi ðξMV μγνe þ ξMA μγνγ5e þ H:c:Þ; ð2Þ where Vi is a quark-antiquark bound state like φ; J= Ψ; Υ; ρ0; ω:ξMV;A represent the effective couplings of the vector meson Vi to the CLFV lepton currents. In the Appendix, we discuss the corresponding hadron matrix elements, one-loop integral functions, and the superfields in the BLMSSM
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