Neutrino Mass Induced Radiatively by Supersymmetric Leptoquarks Typeset Using Revt E X 1

We show how nonzero small Dirac neutrino masses can be radiatively generated by extending MSSM with right-handed neutrinos and leptoquark chiral multiplets without violating R-parity. In general the leptoquark representations are very restrictive due to the holomorphicity of the superpotential and the cancellation of the anomaly from SUSY leptoquark partners (slepto-quarks). Using theses leptoquarks with a Z 2 symmetry, we construct a model in which neutrino masses are radiatively generated when SUSY and the Z 2 symmetries are softly broken at a few TeV and a few hundred GeV, respectively. With a reasonable coupling strength, we find that neutrino masses generated at one loop level can be naturally of the order of 1 eV with mass splitting ∆m 2 ∼ 10 −3 eV 2 (10 −5 eV 2) and right mixing angle(s) between ν µ − ν τ (ν e − ν µ , ν τ) to solve atmospheric and solar neutrino problems.