
Neutrinos change between electron, muon, and tau flavors during propagation.Neutrino flavor oscillations are the quantum mechanical phenomenon where neutrinos switch between their three types—electron, muon, and tau—as they travel through space. This happens because the neutrino's mass states are not the same as its flavor states, leading to a quantum interference pattern. The effect explains why detectors on Earth see fewer solar neutrinos than expected: many have changed flavor by the time they arrive.
The idea was proposed by Bruno Pontecorvo in 1957, inspired by kaon oscillations. The solar neutrino problem, first observed in the 1960s, was definitively explained by oscillations in the early 2000s with the Sudbury Neutrino Observatory.
A neutrino is born in a weak interaction with a definite flavor, but this is a superposition of three mass states. As it propagates, each mass state acquires a slightly different phase, and the interference between them causes the flavor composition to oscillate. The probability of finding a given flavor depends on the distance traveled, the neutrino energy, and the mixing angles between mass and flavor states. In dense matter, like inside the Sun or a supernova, the oscillation pattern is modified by interactions with electrons—the MSW effect.
Neutrino oscillations are used to probe the interior of the Sun, study supernova dynamics, and search for differences between neutrinos and antineutrinos that might explain the matter-antimatter asymmetry of the universe.
Neutrinos can change flavor even in a vacuum, but passing through Earth's dense core can 'resonate' the oscillation, dramatically increasing the chance of a flavor change—a phenomenon exploited by long-baseline experiments.
| P | variable | Survival probability of electron antineutrinos — probability |
| \theta_{12} | variable | Solar mixing angle — mixing angle |
| \Delta m_{12}^2 | variable | Mass-squared difference between mass eigenstates 1 and 2 — mass squared difference electronvolt squared |
| L | variable | Distance traveled by the neutrino — distance metre |
| E | variable | Neutrino energy — energy joule |
| \sin^2 | operator | Square of the sine function — sine squared |






