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We suggest a supersymmetric (SUSY) explanation of neutrino masses and mixing,where nonrenormalizable interactions in the hidden sector generate leptonnumber violating Majorana mass terms for both right-chiral sneutrinos andneutrinos. It is found necessary to start with a superpotential including anarray of gauge singlet chiral superfields. This leads to nondiagonal $\Delta L= 2$ mass terms and almost diagonal SUSY breaking $A$-terms. As a result, theobserved pattern of bilarge mixing can be naturally explained by thesimultaneous existence of the seesaw mechanism and radiatively induced masses.Allowed ranges of parameters in the gauge singlet sector are delineated,corresponding to each of the cases of normal hierarchy, inverted hierarchy anddegenerate neutrinos.Comment: 19 pages, 5 figures. Minor modifications are made in the title and  the text, some new references are added. To appear in this form in Physical  Review

Bilarge neutrino mixing from supersymmetry with high scale nonrenormalizable interactions