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Scalar Boson Mass

The mass of the Higgs boson, a fundamental parameter in the Standard Model extension, determined experimentally and vital for model predictions.

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The statement of the theorem

Define the effective potential

V(\phi)

for a scalar field

\phi

around its vacuum expectation value

\langle \phi \rangle = v

. The mass squared

m^2

of the physical scalar excitation is determined by the second derivative of the potential evaluated at the minimum:

m^2 = \left. \frac{d^2 V(\phi)}{d\phi^2} \right|_{\phi=v}

For a general potential

V(\phi)

, the mass term in the Lagrangian is

\frac{1}{2} m^2 \phi^2

Source: Wikipedia