In this research the differential cross section for elastic scattering of electron neutrino (or anti neutrino) on the electron was calculated within and outside the frame work of the Standard Model (SM) of elementary particle physics. The mathematical relation of deviation from this model was also calculated. This study showed that there is a deviation from the standard model of the order for the electron neutrino flavor. The reference [16] was not able to appear it quite clearly and independently, but It showed the deviation on average for all flavors of neutrino together. Due to this deviation is very small, one can be neglected and therefore do not need to expand the framework of the standard model to include the electron neutrino mass, because in this case, it is located inside its framework.