Doubly charged Higgsino contribution to the decays mu-->e photon and mu-->3e and to the anomalous magnetic moment of the muon within the left-right supersymmetric model

We present a detailed and complete calculation of the doubly charged Higgsino contribution to the decays mu--> e photon and mu--> 3e and to the anomalous magnetic moment of the muon within the left-right supersymmetric model. We include the mixing of the scalar partners of the left and right handed leptons, and show that it leads to a strong enhancement of the decay modes in certain scenarios. We find that the contribution of the doubly charged Higgsino can be close to the known experimental values and are reachable by future experiments.