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