Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-04-12
Nucl.Phys.B726:149-170,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
RevTex4, 28 pages, 4 figures, 2 tables
Scientific paper
10.1016/j.nuclphysb.2005.08.007
The string landscape suggests that the supersymmetry breaking scale can be high, and then the simplest low energy effective theory is the Standard Model (SM). Considering grand unification scale supersymmetry breaking, we show that gauge coupling unification can be achieved at about 10^{16-17} GeV in the SM with suitable normalizations of the U(1)_Y, and we predict that the Higgs mass range is 127 GeV to 165 GeV, with the precise value strongly correlated with the top quark mass m_t and SU(3)_C gauge coupling. For example, if m_t=178\pm1 GeV, the Higgs boson mass is predicted to be between 141 GeV and 154 GeV. We also point out that gauge coupling unification in the Minimal Supersymmetric Standard Model (MSSM) does not imply the canonical U(1)_Y normalization. In addition, we present 7-dimensional orbifold grand unified theories (GUTs) in which such normalizations for the U(1)_Y and charge quantization can be realized. The supersymmetry can be broken at the grand unification scale by the Scherk--Schwarz mechanism. We briefly comment on a non-canonical U(1)_Y normalization due to the brane localized gauge kinetic terms in orbifold GUTs.
Barger Vernon
Jiang Jing
Langacker Paul
Li Tiancheng
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