Indirect measurement of sin2θW (or MW) using μ+μ- pairs from γ* /Z bosons produced in p p ̄ collisions at a center-of-momentum energy of 1.96 TeV

Drell-Yan lepton pairs are produced in the process pp→μ⁺μ⁻+X through an intermediate γ^∗/Z boson. The forward-backward asymmetry in the polar-angle distribution of the μ⁻as a function of the invariant mass of the μ⁺μ⁻ pair is used to obtain the effective leptonic determination sin²θ^lept_eff of the electroweak-mixing parameter sin2θ_W, from which the value of sin²θ_W is derived assuming the standard model. The measurement sample, recorded by the Collider Detector at Fermilab (CDF), corresponds to 9.2 fb⁻¹ of integrated luminosity from pp
collisions at a center-of-momentum energy of 1.96 TeV, and is the full CDF Run II data set. The value of sin²θ^lept_eff is found to be 0.2315 ±0.0010, where statistical and systematic uncertainties are combined in quadrature. When interpreted within the context of the standard model using the on-shell renormalization scheme, where sin²θ_W=1−M²_W/M²_Z, the measurement yields
sin²θ_W=0.2233±0.0009, or equivalently a W-boson mass of 80.365±0.047 GeV/c^2. The value of the W-boson mass is in agreement with previous determinations in electron-positron collisions and at the Tevatron collider.