Neutrino oscillations in the interaction picture

TL;DR

This paper investigates neutrino and scalar field oscillations using the interaction picture, revealing perturbative corrections to the standard oscillation formula consistent with non-perturbative approaches.

Contribution

It introduces a perturbative framework for analyzing field mixing and derives corrections to the conventional oscillation probabilities.

Findings

Perturbative corrections to oscillation formulas are identified.

Results agree with non-perturbative flavor Fock space approaches.

Applicable to scalar and fermion fields in various dimensions.

Abstract

We study the mixing of different kind of fields (scalar in 0+1D, scalar in 3+1D, fermion in 3+1D) treating the mixing term as an interaction. To this aim, we employ the usual perturbative series in the interaction picture. We find that expression for flavor changing probability exhibits corrections with respect to the usual quantum mechanical (e.g. neutrino) oscillation formula, in agreement with the result previously obtained in the non-perturbative flavor Fock space approach.