How do neutrino oscillations determine particle masses?

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Neutrinos permeate the universe and influence processes from the heart of the Sun to the afterglow of the Big Bang, so understanding their properties matters for particle physics and cosmology as well as for technologies that depend on radioactivity and radiation monitoring. The discovery that neutrinos change identity as they travel revealed a fundamental gap in the original Standard Model and showed that neutrinos carry mass in some form. This mass affects how structures grew in the early universe and constrains models of particle unification, while the observatories that measure neutrinos shape scientific life in the regions that host them, from communities near deep underground laboratories to international networks of researchers.

Flavor, mass and mixing

Neutrino oscillations arise because the states produced by weak interactions, called flavor states, are quantum mixtures of states with definite mass. The mixing is described by a unitary matrix that links flavors to mass eigenstates, and the oscillation probabilities depend on differences between the squares of those masses and on mixing angles encoded in that matrix. Oscillations therefore determine mass-squared differences and the pattern of mixing rather than absolute masses. Propagation through matter modifies these transitions and can enhance sensitivity to the ordering of masses, so observations of neutrinos from the Sun, the atmosphere and reactors probe both vacuum and matter-driven effects.

Underground experiments and global evidence

Direct experimental evidence comes from several large collaborations and national laboratories. Results by Takaaki Kajita of the University of Tokyo with the Super-Kamiokande detector in Hida, Gifu, demonstrated atmospheric neutrino oscillations and the need for nonzero neutrino mass, and Arthur B. McDonald of Queen's University with the Sudbury Neutrino Observatory in Sudbury, Ontario, provided complementary measurements of solar neutrinos that established flavor conversion. Laboratory efforts such as the KATRIN collaboration at the Karlsruhe Institute of Technology constrain the absolute neutrino mass scale through precision beta decay measurements, while summarized global fits compiled by the Particle Data Group at Lawrence Berkeley National Laboratory combine oscillation, decay and cosmological data to map allowed parameter regions. The consequences reach beyond particle physics: neutrino masses enter cosmological models that describe the formation of galaxies, influence the design of future detectors in specific underground sites, and foster multinational cooperation across cultural and territorial boundaries where these unique instruments operate.