The minimal supersymmetric grand unified theory

Abstract

We show that the minimal renormalizable supersymmetric SO(10) GUT with the usual three generations of spinors has a Higgs sector consisting only of a "light" 10-dimensional and "heavy" 126, 126-bar and 210 supermultiplets. The theory has only two sets of Yukawa couplings with fifteen real parameters and ten real parameters in the Higgs superpotential. It accounts correctly for all the fermion masses and mixings. The theory predicts at low energies the MSSM with exact R-parity. It is arguably the minimal consistent supersymmetric grand unified theory.Comment: 4 page

Successful leptogenesis inSO(10)unification with a left–right symmetric seesaw mechanism

“…It is well known indeed [18] that the SO(10) mass formula M D = M u leads to a strongly hierarchical heavy neutrino mass spectrum (except for special values of the light neutrino parameters [19]), with M 1 lying below the Davidson-Ibarra bound. This conclusion can be evaded, however, if the relation M D = M u receives large corrections from Yukawa couplings involving a 126 or a 120 Higgs representation, as in the so-called minimal SO(10) model [20] and its extensions, or from non-renormalizable interactions [21]. The contribution of the next-to-lightest right-handed neutrino to the baryon asymmetry could also, in principle, change the above picture [22,23].…”

Minimal supersymmetric SO(10) GUT with only doublet Higgs

“…These triplets belong to a 126-dimensional representation and a 126-plet representation is required for anomaly cancellation. Recently a minimal SO(10) GUT has been proposed [3,4,5,6], in which the 126 explains light neutrino masses and mixing [4], solves the problem of wrong prediction for fermion masses in the SO(10) GUT [3], namely, m µ = m s and m e = m d , and conserves R-parity at low energies [5] implying a stable LSP which then solves the dark matter problem.In the present article we propose yet another simpler supersymmetric SO(10) GUT with only doublet Higgs scalars. Models with doublet Higgs scalars have been discussed in the past [7,8], but here we present a minimal model with doublet Higgs scalar, which has many advantages.…”

“…These triplets belong to a 126-dimensional representation and a 126-plet representation is required for anomaly cancellation. Recently a minimal SO(10) GUT has been proposed [3,4,5,6], in which the 126 explains light neutrino masses and mixing [4], solves the problem of wrong prediction for fermion masses in the SO(10) GUT [3], namely, m µ = m s and m e = m d , and conserves R-parity at low energies [5] implying a stable LSP which then solves the dark matter problem.…”

“…The 126 and 126 of Higgs scalars are now replaced by 16 and 16 of Higgs scalars and one SO(10) singlet fermion per generation. This model has three more coupling constants, but has 217 less superfields compared to the minimal models with triplet Higgs scalars [6]. In addition, this model can be motivated by string theory, in which case the coupling constants will be determined by the string tension.…”

“…The number of parameters in this potential is same as in the minimal SO (10) GUT with triplet Higgs scalars [6]. The SO(10) GUT symmetry is broken to the left-right symmetric group G 3221 by the vev of the Φ 1 = (1, 1, 1) and Φ 15 = (15, 1, 1) components of Φ at the GUT scale M U .…”