We perform a model independent analysis of the helicity amplitudes at high energy for all the 2 $\to$ 2 scattering processes involving gauge and Higgs bosons in the presence of anomalous $WWV, WWVV, VVH, VVHH$ ($V \equiv Z, gamma$ and $W^\pm$), $HHHH$ and $HHH$ interactions. Further, assuming all anomalous couplings to have arisen only from dimension six operators, we show that the per- turbative unitarity violation can be evaded up to $\sim$ 9 TeV corresponding to the best fit values of $f_{WW}/\Lambda^2$ and $f_{BB}/\Lambda^2$ from the combined analysis of Tevatron and LHC data.