  We consider the possibility to observationally differentiate the Standard
Model (SM) Higgs driven inflation with non-minimal couplingto gravity from
other variants of SM Higgs inflation based on the scalar field theories with
non-canonical kinetic term such as Galileon-like kinetic term and kinetic term
with non-minimal derivative coupling to the Einstein tensor. In order to ensure
consistent results, we study the SM Higgs inflation variants by using the same
method, computing the full dynamics of the background and perturbations of the
Higgs field during inflation at quantum level. Assuming that all the SM Higgs
inflation variants are consistent theories, we use the MCMC technique to derive
constraints on the inflationnoary parameters and the Higgs boson mass from
their fit to WMAP7+SN+BAO data set. We conclude that a combination of a Higgs
mass measurement by the LHC and accurate determination by the PLANCK satellite
of the spectral index of curvature perturbations and tensor-to-scalar ratio
will enable to distinguish among these models. We also show that the
consistency relations of the SM Higgs inflation variants are distinct enough to
differentiate the models.
