Abstract
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 right-handed 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, $\mu\to e\gamma$ decays, and the Higgs mass observed at the LHC. Regions compatible with all constraints can be found if non-zero A-terms are taken.
Highlights
The collider experiments at the Large Hadron Collider (LHC) have given stringent constraints on models beyond the standard model (SM)
We explore the constraints on models with universal soft-supersymmetry breaking input parameters coming from proton stability, electric dipole moments, μ → eγ decays, and the Higgs mass observed at the LHC
We discuss the constraints on flavor and CP violation of this model; in particular, we examine the effect of meson mixing, lepton flavor violating decays μ → eγ, electric dipole moments (EDMs), and proton stability
Summary
The collider experiments at the Large Hadron Collider (LHC) have given stringent constraints on models beyond the standard model (SM). 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 right-handed neutrino Majorana masses of around 1015 GeV, the neutrino Yukawa couplings are Oð1Þ and they contribute significantly to the renormalization group equation (RGE) of the MSSM soft-supersymmetry breaking parameters. For super-GUT boundary conditions, the soft mass for right-handed sneutrinos and down squarks are affected by the large neutrino Yukawa couplings above the GUT scale. The effect of this added running on the MSSM soft masses is not obvious and must be investigated in detail. The SUð5Þ gauge group is spontaneously broken by the vacuum expectation value (VEV) of the 24 Higgs multiplet Σ
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