Revisiting fermion mass and mixing fits in the minimal SUSY SO(10) GUT model

Abstract

Supersymmetric SO(10) grand unified models with renormalizable Yukawa couplings involving only 10 and 126 Higgs fields have been shown to realize the fermion masses and mixings economically. In previous works, the sum rule of the fermion mass matrices are given by inputting the quark matrices, and the neutrino mixings are predicted in this framework. Now the three neutrino mixings have been measured, and in this paper, we give the sum rule by inputting the lepton mass matrices, which makes clear certain features of the solution, especially if the vacuum expectation values of 126 + 126 (v R ) are large and the right-handed neutrinos are heavy. We perform the χ 2 analyses to fit the fermion masses and mixings using the sum rule. In previous works, the best fit appears at v R ∼ 10 13 GeV, and the fit at the large v R scale (∼ 10 16GeV) has been less investigated. Our expression of the sum rule has a benefit to understand the flavor structure in the large v R solution. Using the fit results, we perform the calculation of the µ → eγ process and the electric dipole moment of electron, and the importance of v R dependence emerges in low energy phenomena. We also show the prediction of the CP phase in the neutrino oscillations, which can be tested in the near future.

Peccei-Quinn symmetry and nucleon decay in renormalizable SUSY SO(10)

“…Owing to such a grouping, SUSY SO(10) models are capable of explaining various features of the observed fermion mass spectrum. In particular, renormalizable SUSY SO(10) models which utilize a single 10 and a single 126 of Higgs fields to generate fermion masses provide an excellent fit to all of quark and lepton masses and mixings, including neutrino oscillation data, with a relatively small number of parameters [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. The value of the reactor neutrino mixing angle was predicted in these models before it was measured by the DayaBay collaboration [22], which turned out to be consistent with the prediction.…”

“…[20] in the SUSY SO (10) and a single 126 of Higgs superfiels. The Yukawa superpotential of these models is given by: [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Weakly-interacting massive particles in non-supersymmetric SO(10) grand unified models

“…As we discussed in 10 For the effects of a (15, 2, 2)C Higgs field on the Yukawa couplings, see refs. [46,57,[117][118][119]. figure 2(a).…”

θ23 octant measurement in 3+1 neutrino oscillations in T2HKK

“…The octant of neutrino mixing angle θ 23 , namely, the sign of sin 2 θ 23 − 1/2, has profound implications for SO (10) grand unification theory with renormalizable Yukawa couplings (see, e.g., Refs. [1,2,3]). Since ν e and ν µ disappearance channels are almost solely sensitive to sin 2 (2θ 23 ), the best way to determine the octant is to use ν µ → ν e channel in long baseline experiments.…”