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

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## 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.

## Keywords

Sterile Neutrino Neutrino Energy Detector Vertex GALLEX Momentum Spread## Notes

### Acknowledgements

This work was supported by the Federal Target Program “Scientific and Scientific-Pedagogical Personnel of the Innovative Russia” under Contract No. 14.U02.21.0913 The authors would like to thank Z.G. Berezhiani, S.E. Korenblit, and especially D.V. Naumov (who was the active partner in the early stages of this research) for very useful suggestions, comments and criticisms.

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