Abstract
We investigate the exclusive rare baryonic $\Lambda_{b}\to\Lambda\ell^{+}\ell^{-}$ in a family non-universal $Z^{\prime}$ model, which is one of the natural extension of standard model. Using transition form factors, calculated in the framework of light cone QCD sum rules, we analyze the effects of polarized and unpolarized CP violation asymmetries for the said decay. Our results indicate that the value of unpolarized and polarized CP-violation asymmetries are considerable in both $\Lambda_{b}\to\Lambda\mu^{+}\mu^{-}$ and $\Lambda_{b}\to\Lambda\tau^{+}\tau^{-}$ channels and hence they give clear indication of new physics arising from the neutral $Z^{\prime}$ gauge boson. It is hoped that the measurements of these CP-violating asymmetries will not only help us to relate new physics, but also help us to determine the precise values of the parameters of new gauge boson $Z^{\prime}$.
Highlights
Despite the discovery of the last missing chunk of the Standard Model (SM), the Higgs boson, and its phenomenological success, there are hints that leads to new physics (NP)
In the same section we present the transition matrix element for the decay Λb → Λ + − decay, and the expressions for unpolarized and polarized CP violation for the said decay in family non-universal Z model
In terms of the effective Hamiltonian given in Eq (1), the quark level amplitude for the said decay in the SM can be written as MSM
Summary
Despite the discovery of the last missing chunk of the Standard Model (SM), the Higgs boson, and its phenomenological success, there are hints that leads to new physics (NP). It is well known that the predications of the SM results are in good agreement with the current experimental data, there are still unanswered questions in this elegant model, e.g. CP violation, hierarchy puzzle, neutrino oscillations, the few to name To answer these questions a large number of NP models such as extra dimension models, different versions of supersymmetric models, etc exist in literature and the extensive studies on the exclusive semileptonic decays of B mesons and Λb baryonic decays both has been made[4,5,6,7,8,9]. The concluding remarks are presented in the same section
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