  In our previous paper, we provided general effective Higgs interactions for
the lightest Higgs boson $h$ (SM-like) and a heavier neutral Higgs boson $H$
based on the effective Lagrangian formulation up to the dim-6 interactions, and
then proposed two sensitive processes for probing $H$. We showed in several
examples that the resonance peak of $H$ and its dim-6 effective coupling
constants (ECC) can be detected at the LHC Run 2 with reasonable integrated
luminosity. In this paper, we further perform a more thorough study of the most
sensitive process, $pp\to VH^\ast\to VVV$, on the information about the
relations between the $1\sigma,\,3\sigma,\,5\sigma$ statistical significance
and the corresponding ranges of the Higgs ECC for an integrated luminosity of
100 fb$^{-1}$. These results have two useful applications in the LHC Run 2: (A)
realizing the experimental determination of the ECC in the dim-6 interactions
if $H$ is found and, (B) obtaining the theoretical exclusion bounds if $H$ is
not found. Some alternative processes sensitive for certain ranges of the ECC
are also analyzed.
