Determination of the mass of the W boson using the D∅ detector at the Fermilab Tevatron

A measurement of the mass of the $W$ boson is presented which is based on a sample of 5982 $\overrightarrow{W}e\nu$ decays observed in $p\overline{p}$ collisions at $\sqrt{s}=1.8\mathrm{}$ TeV with the D∅ detector during the 1992–1993 run. From a fit to the transverse mass spectrum, combined with measurements of the $Z$ boson mass, the $W$ boson mass is measured to be $M_W=80.350\mathrm{}\pm 0.140\left(\mathrm{stat}\right)\pm 0.165\left(\mathrm{syst}\right)\pm 0.160\left(\mathrm{scale}\right)\hspace{0.5em}\mathrm{GeV}{/c}^2.$ Detailed discussions of the determination of the absolute energy scale, the measured efficiencies, and all systematic uncertainties are presented.