Radiative Neutrino Masses in a SUSY GUT Model
Yoshio Koide
Abstract
Radiatively-induced neutrino mass matrix is investigated within the framework of an SU(5) SUSY GUT model. The model has matter fields of three families 5L(+)i+5L(+)i in addition to the ordinary matter fields 5L(-)i+10L(+)i and Higgs fields H(+)+H(0), where (+,0,-) denote the transformation properties (ω+1,ω0,ω-1) (ω3=+1) under a discrete symmetry Z3. R-parity violating terms are given by 5L(+) 5L(+) 10L(+), while the Yukawa interactions are given by H(0) 5L(-) 10L(+), i.e. the 5-fields in both are different from each other. The Z3 symmetry is only broken by the terms 5L(+)i5L(+)i softly, so that the 5L(+)i 5L(-)i mixings appear at μ< MX. Of the R-parity violating terms 5L(+) 5L(+) 10L(+), only the terms (eLν-νLe)eRc sizably appear at μ< MX.
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