  We study the $SU(2)$ gauge-Higgs model in two Euclidean dimensions using the
tensor renormalization group (TRG) approach. We derive a tensor formulation for
this model in the unitary gauge and compare the expectation values of different
observables between TRG and Monte Carlo simulations finding excellent agreement
between the two methods. In practice we find the TRG method to be far superior
to Monte Carlo simulation for calculations of the Polyakov loop correlation
function which is used to extract the static quark potential.
