Application of K Factors in the $H\rightarrow ZZ^\star\rightarrow 4l$ Analysis at the LHC

Higher order corrections to the Higgs and $ZZ$ production at the LHC are evaluated within the context of the $H\rightarrow 4l$ analysis for Higgs masses $120<M_H<180\,\gev$. The impact of experimental cuts on the Next-to-Leading Order K factors for Higgs and $ZZ$ production is small. The discovery potential of the $H\rightarrow 4l$ modes is re-evaluated. With the application of conservative higher order corrections the amount of luminosity needed to achieve a $5\,\sigma$ signal significance with the $H\rightarrow 4l$ modes drops by $30-35\%$, depending on the Higgs mass.