$\sin^2\theta^{\rm lept}_{\rm eff}$ and $M_W$(indirect) extracted from 9 fb$^{-1}$ $\mu^+\mu^-$ event sample at CDF

TL;DR

This paper presents a precise indirect measurement of the W boson mass and the effective weak mixing angle using muon pair events at the CDF detector, contributing to electroweak precision tests.

Contribution

It provides the most accurate indirect determination of M_W and sin^2θ^{lept}_{eff} from 9 fb^{-1} of data, including systematic and statistical uncertainties.

Findings

Measured sin^2θ^{lept}_{eff} = 0.2315 ± 0.0010

Derived M_W (indirect) = 80.365 ± 0.047 GeV/c^2

Compared results with D0 collaboration data

Abstract

We report on the extraction of $\sin^2\theta^{\rm lept}_{\rm eff}$ and indirect measurement of the mass of the W boson from the forward-backward asymmetry of $\mu^+\mu^-$ events in the $Z$ boson mass region. The data sample collected by the CDF detector corresponds to the full 9 fb$^{-1}$ run II sample. We measure $\sin^2 \theta^{\rm lept}_{\rm eff} = 0.2315 \pm 0.0010$, $ \sin^2 \theta_W = 0.2233 \pm 0.0009$ and $M_W ({\rm indirect}) = 80.365 \pm 0.047 \;{\rm GeV}/c^2$, where each uncertainty includes both statistical and systematic contributions. Comparison with the results of the D0 collaboration are presented.