A nonlocal theory of fermion mixing

Abstract

We study a nonlocal generalization of two flavor fermion mixing and compute the transition probability by means of the path integral formalism. In our treatment, we delocalize only the mixing term, and consider a perturbative interaction with a small mixing angle. The oscillation formula derived reduces to the correct local form when the appropriate limit is considered. We apply our formalism to some string-inspired delocalization kernels and discuss the phenomenological deviations from the local theory.