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This thesis describes a measurement of the W boson mass from a fit to the transverse momentum spectrum of the muon in W decay. In past measurements this technique was used as a cross-check, however, now presents the best method in terms of systematic uncertainty. We discuss all sources of systematic uncertainty with emphasis on those to which the muon p{sub T} measurement is particularly sensitive, specifically, those associated with modeling the production and decay of W bosons. The data were collected with the CDF II detector between March 2002 and September 2003 and correspond to an integrated luminosity of (191 {+-} 11) pb{sup -1}. We measure the W mass to be (80.316 {+-} 0.066{sub stat.} {+-} 0.051{sub syst.}) GeV/c{sup 2} = (80.316 {+-} 0.083) GeV/c{sup 2}

Measurement of the w boson mass at the Collider Detector at Fermilab from a fit to the transverse momentum spectrum of the muon