R-Parity Violation in a SUSY GUT Model and Radiative Neutrino Masses
Abstract
Within the framework of an SU(5) SUSY GUT model, a mechanism which effectively induces R-parity-violating terms below the unification energy scale MX is proposed. The model has matter fields 5L(+)+10L(-) and Higgs fields H(-) and H(+) in addition to the ordinary Higgs fields H(+) and H(-) which contribute to the Yukawa interactions, where () denote the transformation properties under a discrete symmetry Z2. The Z2 symmetry is only broken by the μ-term H(+)H(-) softly, so that the 5(+) H(+) H(-) mixing appears at μ < mSB, i.e. R-parity violating terms 5L5L 10L are effectively induced from the Yukawa interactions H(-)5L(+)10L(-), so that the effective coupling constants λijk of Li eLj eRkc and Li dRjc dLk are proportional to the mass matrices (Me*)jk and (Md)jk, respectively. The parameter regions which are harmless for the proton decay are investigated. Possible forms of the radiatively induced neutrino mass matrix are also investigated.
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