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Neutrino Mass

The conjecture that neutrinos possess a non-zero mass, a fundamental aspect of neutrino physics. Precise mass values remain a key research area.

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The statement of the theorem

Define the Lagrangian density

\mathcal{L}

for the neutrino sector, including the mass term

m_{\nu}

. For a massive neutrino field

\nu

, the mass term contributes to the Lagrangian as: \n

\mathcal{L}_{mass} = -\frac{1}{2} \bar{\nu} (M_{\nu})_{ij} \nu + \text{h.c.}

\nwhere

\nu

is the neutrino field, and

(M_{\nu})_{ij}

is the

3 \times 3

neutrino mass matrix in the flavor basis, whose eigenvalues represent the physical masses

m_i

of the mass eigenstates.

Source: Wikipedia