Lambda_b -> Lambda l+ l- decay within family non-universal Z' model

We perform a comprehensive analysis of the rare "Lambda_b -> Lambda l+ l-" decay in the framework of family non-universal Z' model. It is shown that Z' gives considerable contribution to the decay width. Zero positions of the forward-backward asymmetry and alpha_theta parameter are shifted to the left compared to the Standard Model result. The obtained results could be tested in near future at LHC-b.