# SMuK 2023 – wissenschaftliches Programm

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# GR: Fachverband Gravitation und Relativitätstheorie

## GR 4: Quantum Gravity

### GR 4.2: Vortrag

### Dienstag, 21. März 2023, 17:20–17:40, ZEU/0260

**A Rigorous Neutrino Oscillation Formula in Curved Spacetime** — •Dominik Hellmann — TU Dortmund, 44227 Dortmund, Germany

In the light of upcoming experiments searching to detect neutrino signals from astrophysical sources, the question for a rigorously derived neutrino oscillation formula in curved spacetime from first principles seems to be well motivated.

Based on the theoretical foundations of quantum field theory in curved spacetime (cQFT), we generalize the well known external wave packet approach to neutrino oscillations from flat to curved spacetime.

In this framework, external particles are represented by wave packets, while the neutrino is described by its Feynman propagator and PMNS matrix elements. In addition to that, we incorporate non-trivial cQFT effects like the non-uniqueness of the vacuum and show how these modify the oscillation behavior. Finally, we derive the conditions under which a neutrino oscillation probability is well defined and show how it is calculated from cQFT amplitudes.