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We study the lightest CP-even Higgs boson mass in five kinds of testableflipped SU(5) x U(1)_X models from F-theory. Two kinds of models havevector-like particles around the TeV scale, while the other three kinds alsohave the vector-like particles at the intermediate scale that can be consideredas messenger fields in gauge mediated supersymmetry breaking. We require thatthe Yukawa couplings for the TeV-scale vector-like particles and the thirdfamily of the Standard Model (SM) fermions are smaller than three from theelectroweak scale to the SU(3)_C x SU(2)_L unification scale. With the two-looprenormalization group equation running for the gauge couplings and Yukawacouplings, we obtain the maximal Yukawa couplings between the TeV-scalevector-like particles and Higgs fields. To calculate the lightest CP-even Higgsboson mass upper bounds, we employ the renormalization group improved effectiveHiggs potential approach, and consider the two-loop leading contributions inthe supersymmetric SM and one-loop contributions from the TeV-scale vector-likeparticles. We assume maximal mixings between the stops and between theTeV-scale vector-like scalars. The numerical results for these five kinds ofmodels are roughly the same. In particular, we show that the lightest CP-evenHiggs boson can have mass up to 146 GeV naturally, which is the current upperbound from the CMS and ATLAS collaborations.

The Lightest CP-Even Higgs Boson Mass in the Testable Flipped SU(5) x U(1)_X Models from F-Theory