Analysis of 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 forward-backward asymmetry and the asymmetry parameter alpha(theta). The obtained results could be tested in near future at LHCb.