  The strong-coupling constant is determined from the low-momentum region of
the transverse-momentum distribution of $Z$ bosons produced through the
Drell-Yan process, using predictions at third order in perturbative QCD. The
analysis employs a measurement performed in proton-proton collisions at a
centre-of-mass energy of $\sqrt{s} = 1.96$ TeV with the CDF experiment. The
determined value of the strong coupling at the reference scale corresponding to
the $Z$-boson mass is $\alpha_S(m_Z) = 0.1191^{+0.0013}_{-0.0016}$.
