Exclusive semileptonic decays of Λb → Λl+l- in supersymmetric theories

The weak decays of Lambda(b) -> Lambda l(+)l(-) (l = e, mu) are investigated in the minimal supersymmetric standard model (MSSM) and also in supersymmetric (SUSY) SO(10) grand unified models. In the MSSM special attention is paid to the neutral Higgs bosons (NHBs) as they make quite a large contribution in exclusive B -> X(s)l(+)l(-) decays at large tan beta regions of parameter space of SUSY models, since part of SUSY contributions is proportional to tan(3)beta. The analysis of decay rate, forward-backward asymmetries, lepton polarization asymmetries, and the polarization asymmetries of the Lambda baryon in Lambda(b) -> Lambda l(+)l(-) show that the values of these physical observables are greatly modified by the effects of NHBs. In the SUSY SO(10) grand unified theory model, the new physics contribution comes from the operators which are induced by the NHBs' penguins and also from the operators having chirality opposite to that of the corresponding standard model (SM) operators. SUSY SO(10) effects show up only in the decay Lambda(b) -> Lambda + tau(+)tau(-) where the longitudinal and transverse lepton polarization asymmetries deviate significantly from the SM value while the effects in the decay rate, forward-backward asymmetries, and polarization asymmetries of final state Lambda baryon are very mild. The transverse lepton polarization asymmetry in Lambda(b) -> Lambda + tau(+)tau(-) is almost zero in the SM and in the MSSM model. However, it can reach to -0.1 in the SUSY SO(10) grand unified theory model and could be seen at the future colliders; hence this asymmetry observable will provide us useful information to probe new physics and discriminate between different models.