Elastic Neutrino-Muon and Electron Scattering in the Standard Model

Abstract

In this research project we studied the theory of Fermi and the standard model of particle physics in some details. We calculated via a theoretically the cross-section of the elastic neutrino–muon and electron scattering in the Fermi theory and the standard model and found their values at 𝐸=4 𝑀𝑒𝑉 to be 𝝈𝑺𝑴=𝟓.𝟐𝟖×𝟏𝟎−𝟒𝟒𝒄𝒎𝟐 𝝈𝑭𝒆𝒓𝒎𝒊=𝟖.𝟔𝟏×𝟏𝟎−𝟒𝟑𝒄𝒎𝟐 We have found that the cross-section in SM less than the cross-section in Fermi for a given energy. Furthermore, the Fermi theory breaks down at high energy but the standard model works very well at high energies.