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

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.

11 pages, no figures. Some additions are done and references are added

References in corpus (14)

• Observation of electron-antineutrino disappearance at Daya Bay
• The Reactor Antineutrino Anomaly
• Light Sterile Neutrinos: A White Paper
• Statistical Significance of the Gallium Anomaly
• Improved Measurement of Electron Antineutrino Disappearance at Daya Bay
• Pragmatic View of Short-Baseline Neutrino Oscillations
• Neutrino oscillations: Entanglement, energy-momentum conservation and QFT
• Oscillations of Mossbauer neutrinos
• Probing light sterile neutrinos in medium baseline reactor experiments
• Four-neutrino analysis of 1.5km-baseline reactor antineutrino oscillations
• "Neutrino-4" experiment: preparations for search for sterile neutrino at 100 MW reactor SM-3 at 6-13 meters
• Search for neutrino oscillations at a research reactor
• The quantum measurement approach to particle oscillations
• Sterile neutrino analysis of reactor-neutrino oscillation

Cited by in corpus (7)

• Corrections to Scattering Processes due to Minimal Measurable Length
• Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations
• Extension of Grimus-Stockinger formula from operator expansion of free Green function
• Towards a Localised S-Matrix Theory
• Inverse-square law violation and reactor antineutrino anomaly
• Virtual neutrino propagation at short baselines
• On asymptotic power corrections to differential fluxes and generalization of optical theorem for potential scattering