= Adjoint triplet Higgs spectrum
{title2=$m_{B^1}=m_{B^2}=gv,\quad m_{B^3}=0$}
For a gauged <real scalar triplet> with vacuum $ve_3$ and generators $(t^a)_{bc}=-i\epsilon^{abc}$, the covariant <kinetic term> yields gauge-boson squared masses $g^2v^2\operatorname{diag}(1,1,0)$. Two <Goldstone bosons> become longitudinal vector modes through the <Higgs mechanism>. One radial scalar, two massive three-polarization vector fields and one massless two-polarization field remain. The physical count $3+3\cdot2=1+2\cdot3+2=9$ is unchanged. In <unitary gauge>, the scalar <kinetic term> includes $\frac12g^2(v+h)^2[(B^1)^2+(B^2)^2]$.
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