For the beta=-sqrt(3) 331 model, electroweak precision data allow v3 between roughly 1.5 and 2.3 TeV and can reproduce the CDF W mass shift for v3 in 1.8-2.3 TeV, provided collider bounds on new gauge bosons are model-dependently relaxed.
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Radiative corrections to the $\rm S, T, U$ parameters and their impact on the $W$ boson mass in the 331 model
For the beta=-sqrt(3) 331 model, electroweak precision data allow v3 between roughly 1.5 and 2.3 TeV and can reproduce the CDF W mass shift for v3 in 1.8-2.3 TeV, provided collider bounds on new gauge bosons are model-dependently relaxed.