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We calculate analytically tree level amplitudes for Higgs production via WeakBosons Fusion (WBF) and QCD corrections to the Standard Model prediction (SM)by using the helicity spinor formalism. We provide the explicit expression forthe amplitude with two gluons emission in the final state together withmassless final two quarks. The massive generalization of theBritto-Cachazo-Feng-Witten (BCFW) recursion scheme is applied successfullyobtaining compact results which agree with, and overcome in simplicity, theconventional Feynman diagrams approach.

Helicity Spinor Methods and Tree Level QCD Corrections in Higgs Production via Weak Boson Fusion