Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks

The breakdown of Lorentz’s and CPT invariance, as described by the Extension of the Standard Model, gives rise to a modification of the dispersion relation of particles. Consequences of such a modification are reviewed in the framework of pulsar kicks induced by neutrino oscillations (activesterile conversion). A peculiar feature of the modified energy-momentum relations is the occurrence of terms of the form δΠ · p̂, where δΠ accounts for the difference of spatial components of flavor depending coefficients which lead to the departure of the Lorentz symmetry, and p̂ = p/p, being p the neutrino momentum. Owing to the relative orientation of p with respect to δΠ, the coupling δΠ · p̂ may induce the mechanism to generate the observed pulsar velocities. Topics related to the velocity distribution of pulsars are also discussed.