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- W2283412172 abstract "In the previous paper, we have shown that $R_1equivfrac{Gamma_{n rightarrow pi^0 + nu^c}}{Gamma_{p rightarrow pi^0 + e^c}}$ and $R_2equivfrac{Gamma_{p rightarrow K^0 + mu^c}}{Gamma_{p rightarrow pi^0 + e^c}}$ can identify the grand unification group $SU(5)$, $SO(10)$, or $E_6$ in typical anomalous $U(1)_A$ supersymmetric (SUSY) grand unified theory (GUT) in which nucleon decay via dimension-6 operators becomes dominant. When $R_1 > 0.4$ the grand unification group is not $SU(5)$, while when $R_1 > 1$ the grand unification group is $E_6$. Moreover, when $R_2 > 0.3$, $E_6$ is implied. Main ambiguities come from the diagonalizing matrices for quark and lepton mass matrices in this calculation once we fix the vacuum expectation values of GUT Higgs bosons. In this paper, we calculate $R_1$ and $R_2$ in $E_6times SU(2)_F$ SUSY GUT with anomalous $U(1)_A$ gauge symmetry, in which realistic quark and lepton masses and mixings can be obtained though the flavor symmetry $SU(2)_F$ constrains Yukawa couplings at the GUT scale. The ambiguities of Yukawa couplings are expected to be reduced. We show that the predicted region for $R_1$ and $R_2$ is more restricted than in the $E_6$ model without $SU(2)_F$ as expected. Moreover, we re-examine the previous claim for the identification of grand unification group with $100$ times more model points ($10^6$ model points), including $E_6 times SU(2)_F$ model." @default.
- W2283412172 created "2016-06-24" @default.
- W2283412172 creator A5066380938 @default.
- W2283412172 creator A5088179149 @default.
- W2283412172 date "2014-11-24" @default.
- W2283412172 modified "2023-10-18" @default.
- W2283412172 title "Nucleon decay via dimension-6 operators in the E6 x SU(2)F x U(1)A SUSY GUT model" @default.
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- W2283412172 doi "https://doi.org/10.1093/ptep/ptu150" @default.
- W2283412172 hasPublicationYear "2014" @default.
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