  We study a Higgs inflation model with a running kinetic term, taking account
of the renormalization group evolution of relevant coupling constants.
Specifically we study two types of the running kinetic Higgs inflation, where
the inflaton potential is given by the quadratic or linear term potential in a
frame where the Higgs field is canonically normalized. We solve the
renormalization group equations at two-loop level and calculate the scalar
spectral index and the tensor-to-scalar ratio. We find that, even if the
renormalization group effects are included, the quadratic inflation is ruled
out by the CMB observations, while the linear one is still allowed.
