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Standard Model

The Standard Model is a quantum field theory describing the known elementary particles and their interactions, including the electroweak force.
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The statement of the theorem

The Standard Model Lagrangian density LSM\mathcal{L}_{SM} is given by the sum of kinetic terms for the gauge fields and the matter fields, respecting the gauge group G=U(1)Y×SU(2)LG = U(1)_Y \times SU(2)_L: \nLSM=LGauge+LHiggs+LFermion\mathcal{L}_{SM} = \mathcal{L}_{Gauge} + \mathcal{L}_{Higgs} + \mathcal{L}_{Fermion} \nWhere LGauge=−14W⃗μ⋅W⃗μ−14BμBμ\mathcal{L}_{Gauge} = -\frac{1}{4} \vec{W}_{\mu} \cdot \vec{W}^{\mu} - \frac{1}{4} B_{\mu} B^{\mu}, LHiggs=(Dμϕ)∗(Dμϕ)−V(ϕ)\mathcal{L}_{Higgs} = (D_{\mu} \phi)^* (D^{\mu} \phi) - V(\phi), and LFermion=ψˉ(iγμDμ−M)ψ\mathcal{L}_{Fermion} = \bar{\psi} (i \gamma^{\mu} D_{\mu} - M) \psi. The covariant derivative DμD_{\mu} incorporates the gauge couplings gg and g′g'.