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Quantum field theoretic approach to neutrino oscillations in matter
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abstract
We consider neutrino oscillations in non-uniform matter in a quantum field theoretic (QFT) approach, in which neutrino production, propagation and detection are considered as a single process. We find the conditions under which the oscillation probability can be sensibly defined and demonstrate how the properly normalized oscillation probability can be obtained in the QFT framework. We derive the evolution equation for the oscillation amplitude and discuss the conditions under which it reduces to the standard Schr\"odinger-like evolution equation. It is shown that, contrary to the common usage, the Schr\"odinger-like evolution equation is not applicable in certain cases, such as oscillations of neutrinos produced in decays of free pions provided that sterile neutrinos with $\Delta m^2\gtrsim 1$ eV$^2$ exist.
Forward citations
Cited by 2 Pith papers
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EFT for Neutrino Oscillations: Theory Developments and Application to JUNO
Extends EFT formalism for neutrino oscillations with matter effects, derives analytical observables, and extracts first bounds on non-standard interaction parameters from JUNO dataset.
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Quantum field theory treatment of neutrino flavor oscillations in matter
The virtual-particle QFT formalism with exact matter propagators for Majorana neutrinos reproduces the standard MSW oscillation probability in uniform matter.
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