Extended Grimus-Stockinger theorem and inverse-square law violation in quantum field theory

Abstract

We study corrections to the Grimus-Stockinger theorem dealing with the large-distance asymptotic behavior of the external wave-packet modified neutrino propagator within the framework of a field-theoretical description of the neutrino-oscillation phenomenon. The possibility is discussed that these corrections, responsible for breakdown of the classical inverse-square law (ISL), can lead to measurable effects at small but macroscopic distances accessible in the SBL (anti)neutrino experiments and in particular can provide an explanation of the well-known reactor antineutrino anomaly. © 2013 Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica.