Procedure with Massive Neutrinos for the Standard Model Processes with Negligible Lorentz Invariance Violation

Abstract

For the electroweak interactions, the massive neutrino perturbative kinematical procedure is developed in the massive neutrino Fock space; The perturbation expansion parameter is the ratio of the neutrino mass to its energy. This procedure, with the Pontecorvo-Maki-nakagawa-Sakata modified electroweak Lagrangian, calculates the cross-sections with the new neutrino energy projection operators in the massive neutrino Fock space, resulting in the Standard Model mass-less flavor neutrino cross-sections, plus the Lorentz non-invariant neutrino oscillation cross-sections which are proportional to the squares of neutrino masses and, as such, practically unobservable in the laboratory. This scheme reinforces the notion that the mass-less flavor neutrino can be considered as the superposition of three massive neutrinos.