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The CDF collaboration's recent high-precision measurement of the $W$mass isin $7.0~\sigma$ disagreement with the Standard Model expectation. This tensionwill be relieved if the $W$ boson has a non-trivial right-handed gauge couplingat high energies. At TeV scales, the SM gauge symmetric four-fermioninteractions induce a right-handed gauge coupling, and SM fermions composemassive composite particles. We investigate the top-quark mass produced byspontaneous symmetry breaking and compute the $W$ and $Z$ boson propagators anddecays. The right-handed coupling corrections to their masses and widths areconsistent with experimental measurements. We discuss how SM gauge bosons andcomposite particles can restore parity-preserving gauge symmetries at TeVscales.

$W$ boson mass tension caused by its right-handed gauge coupling at high energies?