${\chi }_{QJ}\to {\ell }^{+}{\ell }^{-}$ within and beyond the Standard Model

Abstract

We revisit ${\chi }_{QJ}\to {\ell }^{+}{\ell }^{-}$ (with $J=0,1,2$ and $Q=b,c$) within the Standard Model (SM). The electro-magnetic contributions are given in color-singlet model with non-vanishing lepton masses at the leading order of $v$. Numerically, the branching ratios of ${\chi }_{QJ}\to {\ell }^{+}{\ell }^{-}$ predicted within the SM are so small that such decays are barely possible to be detected at future BESIII and SuperB experiments, but may be possible to be observed at the LHC. We investigate ${\chi }_{b0}\to {\ell }^{+}{\ell }^{-}$ in Type-II 2HDM with large $\tan \beta$, and ${\chi }_{b2}\to {\ell }^{+}{\ell }^{-}$ in the Randall-Sundrum model, to see their chance to be observed in future experiments.

11 pages, 8 figures. To match the published version

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• ${\chi }_{cJ}\to e^{+}{e}^{-}$ decays revisited
• ${\chi }_{c1}$ and ${\chi }_{c2}$ production at $e^{+}{e}^{-}$ colliders
• First Observation of the Direct Production of the ${\chi }_{c1}$ in $e^{+}{e}^{-}$ Annihilation
• Electroweak production of ${\chi }_{Q1}$ states in $e^{+}{e}^{-}$ collisions: A brief review
• Testing ${\chi }_c$ properties at BELLE II
• Two-loop form factors for $P$-wave quarkonium production and decay
• ${\eta }_c\to l^{+}{l}^{-}$ and ${\chi }_{c0}\to l^{+}{l}^{-}$ decays revisited