  We calculate various P-odd asymmetries appearing in the differential decay
width for the cascade decay (Lambda_b -> Lambda(-> a+b) V^* (-> l^+ l^-)) with
polarized and unpolarized heavy baryons including new vector type interactions
and using the helicity amplitudes. It is obtained that the study of P-odd
asymmetries can serve a good test for establishing new physics beyond the SM.
