Precise measurements of the W mass at the Tevatron and indirect constraints on the Higgs mass

I describe the latest D0 and CDF W boson mass measurements. The D0 measurement is performed with 4.3 fb-1 of integrated luminosity in the electron decay channel with a data set of 1.68 x 108 W candidates. The value of the W boson mass measured by D0 is MW = 80.375 ± 0.023 GeV when combined with the previously analyzed 1 fb-1 of integrated luminosity. The CDF measurement uses 2.2 fb-1 of integrated luminosity in both electron and muon decay channels with a total of 1.1 x 108 W candidates. The value of the W boson mass measured by CDF is MW = 80.387 ± 0.019 GeV. I report the combination of these two measurements with previous Tevatron measurements and with the LEP measurements of the W boson mass. The new world average is MW = 80.385 ± 0.015GeV. I discuss the implications of the new measurement to the indirect measurement of the Standard Model Higgs boson mass.