method

neutrino mass measurement

Experimental techniques to determine the mass of neutrinos using cosmological and laboratory data.
17 related articles · 4 formulas

Description

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.

History

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.

How it works

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?'.

In practice

Precise neutrino masses are crucial for interpreting cosmological data, designing next-generation detectors, and understanding the early universe's evolution.

Fun fact

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.

Concept graph →

Formulas

$$\Omega_\nu h^2 = \frac{\sum m_\nu}{93.14\,\text{eV}}$$
Relates neutrino mass sum to cosmological density parameter.
What is in the formula
Ω_νvariableNeutrino density parameter — density parameter
hvariableDimensionless Hubble constant — hubble constant dimensionless
Σ m_νvariableSum of neutrino masses — neutrino mass sum electronvolt
93.14constantNumerical factor converting eV to density parameter — neutrino density conversion = 93.14 electronvolt
ω_νh^2=\frac{\summ_ν}{93.12эв} · 2607.01226v1
$$L = \int \frac{d^3 p}{(2\pi)^3} (f_{\nu} - f_{\bar{\nu}})$$
Net lepton number from neutrino distributions.
What is in the formula
LvariableNet lepton number density — lepton number density metre per cubed metre
pvariableMomentum vector — momentum kilogram metre per second
f_νvariableNeutrino distribution function — distribution function
f_ν̄variableAntineutrino distribution function — distribution function
∫operatorIntegration over momentum space — integral
d^3poperatorInfinitesimal momentum space volume — volume element in momentum space
g(v)=\sqrt{2}g_f\int\frac{d^3p}{(2π)^3}(f_{ν_e}-f_{\bar{ν}_e}) · 2607.12558
$$m^* = m - g_\sigma \sigma$$
Nucleon mass is reduced by scalar meson field coupling.
What is in the formula
m^*variableEffective nucleon mass in the medium — effective mass kilogram
mvariableBare nucleon mass (in vacuum) — mass kilogram
\sigmavariableScalar meson field expectation value — scalar field
g_\sigmaconstantCoupling constant between nucleons and the scalar sigma meson — coupling constant = varies (model-dependent)
m^*_n=m_n-g_σφ · 2607.13930
$$G\mu = \frac{\mu}{m_{\text{Pl}}^2}$$
Dimensionless measure of cosmic string energy density.
What is in the formula
μvariablemass per unit length of cosmic string — linear mass density kilogram per metre
GconstantNewton's constant of universal gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
m_PlconstantPlanck mass, the fundamental mass scale in quantum gravity — planck mass = 2.176434e-8 kilogram
gμ=\frac{μ}{m_{{pl}}^2} · 2607.20340v1

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