Inflection-point inflation is an interesting possibility to realize a successful slow-roll inflation when inflation is driven by a single scalar field with its initial value below the Planck mass (φI≲MPl). In order for a renormalization group (RG) improved effective λφ4
Nearby in the stack
potential to develop an inflection-point, the quartic coupling
λ(φ)
must exhibit a minimum with an almost vanishing value in its RG evolution, namely
λ(φI)≃0
and
βλ(φI)≃0
, where
βλ
is the beta-function of the quartic coupling. As an example, we consider the minimal gauged
B−L
extended Standard Model at the TeV scale, where we identify the
B−L
Higgs field as the inflaton field. For a successful inflection-point inflation, which is consistent with the current cosmological observations, the mass ratios among the
Z′
gauge boson, the right-handed neutrinos and the
B−L
Higgs boson are fixed. Our scenario can be tested in the future collider experiments such as the High-Luminosity LHC and the SHiP experiments. In addition, the inflection-point inflation provides a unique prediction for the running of the spectral index
α≃−2.7×10−3(N60)2
(
N
is the
e
-folding number), which can be tested in the near future.