Experimental techniques to determine the mass of neutrinos using cosmological and laboratory data.Neutrino mass measurement is a central challenge in particle physics and cosmology. Neutrinos were long thought to be massless, but experiments showed they oscillate between flavors, implying they have tiny masses. Determining the absolute scale of these masses — not just the differences — requires combining laboratory experiments with cosmological observations. The corpus titles reflect this dual approach: 'Взвесить призрак' (weighing a ghost) and 'Распад нейтрино' (neutrino decay) point to both direct kinematic measurements and indirect cosmological constraints.
The possibility of neutrino mass was proposed in the 1950s, but the first evidence for oscillations came in 1998 from the Super-Kamiokande experiment. The absolute mass scale remains unknown, with current upper limits around 0.8 eV from KATRIN.
Laboratory experiments like KATRIN measure the energy spectrum of electrons from tritium beta decay, looking for a tiny distortion near the endpoint that reveals the neutrino mass. Cosmological methods instead use the imprint of neutrinos on the cosmic microwave background and large-scale structure: because massive neutrinos move slowly, they suppress the growth of structure on small scales. Combining both approaches tightens the constraints, though tensions between datasets sometimes arise, as noted in 'Почему космология дала трещину?'.
Precise neutrino masses are crucial for interpreting cosmological data, designing next-generation detectors, and understanding the early universe's evolution.
The sum of neutrino masses is so small that all the neutrinos in the universe weigh less than a single electron, yet they still influence the formation of galaxies.
| Ω_ν | variable | Neutrino density parameter — density parameter |
| h | variable | Dimensionless Hubble constant — hubble constant dimensionless |
| Σ m_ν | variable | Sum of neutrino masses — neutrino mass sum electronvolt |
| 93.14 | constant | Numerical factor converting eV to density parameter — neutrino density conversion = 93.14 electronvolt |
| L | variable | Net lepton number density — lepton number density metre per cubed metre |
| p | variable | Momentum vector — momentum kilogram metre per second |
| f_ν | variable | Neutrino distribution function — distribution function |
| f_ν̄ | variable | Antineutrino distribution function — distribution function |
| ∫ | operator | Integration over momentum space — integral |
| d^3p | operator | Infinitesimal momentum space volume — volume element in momentum space |
| m^* | variable | Effective nucleon mass in the medium — effective mass kilogram |
| m | variable | Bare nucleon mass (in vacuum) — mass kilogram |
| \sigma | variable | Scalar meson field expectation value — scalar field |
| g_\sigma | constant | Coupling constant between nucleons and the scalar sigma meson — coupling constant = varies (model-dependent) |
| μ | variable | mass per unit length of cosmic string — linear mass density kilogram per metre |
| G | constant | Newton's constant of universal gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| m_Pl | constant | Planck mass, the fundamental mass scale in quantum gravity — planck mass = 2.176434e-8 kilogram |





