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Resolution of Unitarity Violation in Standard Model

Author : Dr. Ram Swaroop Sahu

Abstract :

We calculate with the Feynman rules for Higgs boson interactions in Standard Model. We are in a position to investigate the rule of the Higgs boson in the cancellation of high energy or ultra violet divergences. The problem is provided by the reaction    which is closely related to the reaction   . This reaction is described in lowest order in the Weinberg-Salam theory by the Feynman graphs. The leading divergences in the amplitude of the neutrino exchange diagram are cancelled by the contributions of the direct channel γ, Z0 and H-exchange diagram. Unitarity in Standard Model can able to reduce the divergence in cross section for high energies. We will test this part for   we find that if we include the Higgs particle as mediator the mass of fermions the divergence or unitarity problem has resolved. This is the local gauge symmetry of theory it is verified that it can work very high-energy. Therefore we find that unitarity violation or divergence of cross section has been evaluated by introduce Higgs boson for the finite mass of fermions.

Keywords :

Unitarity, fermions, higgs boson, standard model, feynman rules