Neutrino Masses Induced by R-Parity Violation in a SUSY SU(5) Model with Additional 5'L+5'L
Abstract
Within the framework of an SU(5) SUSY GUT model, a possible general form of the neutrino mass matrix induced by R-parity violation is investigated. The model has matter fields 5'L+5'L in addition to the ordinary matter fields 5L+10L and Higgs fields Hu+Hd. The R-parity violating terms are given by 5L 5L 10L, while the Yukawa interactions are given by Hd 5'L 10L. Since the matter fields 5'L and 5L are different from each other at the unification scale, the R-parity violation effects at a low energy scale appear only through the 5'L 5L mixings. In order to make this R-parity violation effect harmless for proton decay, a discrete symmetry Z3 and a triplet-doublet splitting mechanism analogous to that in the 5-plet Higgs fields are assumed.
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