  No matter what the scale of new physics is, deviations from the Standard
Model for the Higgs observables will indicate the existence of such a scale. We
consider effective six dimensional operators, and their effects on the Higgs
productions and decays to estimate this new scale. We analyze and identify the
parameter space consistent with known properties of the Higgs boson using
recent Run II results from ATLAS and CMS experiments corresponding to $\sim$ 37
fb$^{-1}$ of data. We then calculate the $\bar{t} t h$ productions , as well as
double Higgs production at the LHC using the effective couplings, and show that
these can be much different than those predicted by the Standard Model, for a
wide region of allowed parameters space. These predictions can be tested in the
current or the future runs of the LHC. We find that the data are consistent
with the existence of a new physics scale as low as 500 GeV for a significant
region of parameter space of this six-dimensional couplings with these new
physics effects at the LHC. We also find that for some region of the parameter
space, di-Higgs production can be much larger than that predicted by the
Standard Model giving rise to the prospect of its observation even in the
current run II of the LHC.
