We revisit the minimal supersymmetric SU (5) grand unified theory with three right-handed neutrinos in which universality conditions for soft-supersymmetry breaking parameters are imposed at an input scale above the unification scale. If the Majorana masses for the neutrinos are around 10 15 GeV, large mixing angles and phases in the neutrino sector lead to flavor-violation and CP -violation in the righthanded down squark and left-handed slepton sectors. Since the observed Higgs boson mass and the proton decay constraints indicate sfermions have masses larger than a few TeV, flavor and CP constraints are less restrictive. We explore the constraints on models with a universal soft-supersymmetry breaking input parameters coming from proton stability, electric dipole moments, µ → eγ decays, and the Higgs mass observed at the LHC. Regions compatible with all constraints can be found if non-zero A-terms are taken.
arXiv:1807.08234v2 [hep-ph] 12 Nov 2018The collider experiments at the Large Hadron Collider (LHC) have given stringent constraints on models beyond the Standard Model (SM). In the minimal supersymmetric (SUSY) extension of the SM (MSSM), squarks and gluinos are severely constrained by their absence at the LHC (see ) and by the observed Higgs mass [4].In many models, the soft-supersymmetry breaking parameters are assumed to be universal and real at the input scale. This assumption makes it easy to avoid constraints from flavor-changing and CP -violating processes (such as meson oscillations, rare decays, electric dipole moments (EDMs), etc). For most studies, the universality conditions on the soft-supersymmetry breaking parameters are imposed at the grand unification (GUT) scale, M GUT ∼ 2 × 10 16 GeV, where the SM gauge couplings unify. In particular, in the constrained MSSM (CMSSM) [5,6] the universality of the scalar mass (m 0 ), gaugino mass (M 1/2 ), and trilinear coupling (A 0 ) are assumed at the unification scale. In this simplified model, flavor and CP violating processes arise only through the Cabbibo-Kobayashi-Maskawa (CKM) matrix and are suppressed due to the smallness of the CKM matrix elements. However, there is no compelling reason to take the boundary scale of the soft-supersymmetry breaking parameters to be the GUT scale, and it is quite plausible that it is above the GUT scale (the so-called super-GUT scenarios, see Refs. [7-10]) or below the GUT scale (the so-called sub-GUT scenarios, see Refs. [11][12][13][14]). In the case of super-GUT models, the low-scale soft-supersymmetry breaking parameters are affected by which SUSY GUT model is chosen, because of the renormalization group (RG) running between the input scale and the unification scale.Grand unified theories based on SU (5) are among the more minimal options; each generation of quarks and leptons are unified into a 5+10 representations of SU (5) [15][16][17]. Although neutrinos are massless in the SM, non-zero neutrino masses and mixing angles have been well established by the neutrino oscillation experiments [18][19][20]. In the c...