The effect of spacetime torsion on neutrino mixing

In the framework of quantum field theory, we analyze the neutrino oscillations in the presence of a torsion background. We consider the Einstein Cartan theory and we study the cases of constant torsion and of linearly time-dependent torsion. We derive new neutrino oscillation formulae which depend on the spin orientation and the CP asymmetry formula. Experiment such as PTOLEMY which analyzes the cosmological background of neutrino, can provide insights into the effect shown here.