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

TL;DR

This paper investigates higher-order quantum field theory corrections to neutrino propagation, suggesting potential inverse-square law violations at large distances that could explain reactor antineutrino anomalies.

Contribution

It extends the Grimus-Stockinger theorem to include higher-order corrections, exploring their impact on neutrino wave propagation and ISL violation.

Findings

Higher-order corrections can cause inverse-square law breakdown at macroscopic distances.

ISL violation may explain reactor antineutrino anomaly.

Quantum field-theoretical effects are significant in neutrino oscillation analysis.

Abstract

We study higher-order corrections to the Grimus-Stockinger theorem dealing with the large-distance asymptotic behavior of the wave-packet modified neutrino propagator within the framework of field-theoretical description of the neutrino oscillation phenomenon. We discuss the possibility that these corrections are responsible for breakdown of the classical inverse-square law (ISL) at the macroscopic distances. In particular the ISL violation can be an explanation of the well-known reactor antineutrino anomaly.