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The mass of the $\tau$ lepton has been measured in the decay mode $\tau \to3\pi \nu_\tau$ using a pseudomass technique. The result obtained from $414\mathrm{fb}^{-1}$ of data collected with the Belle detector is $M_\tau =(1776.61\pm 0.13 {(stat.)} \pm 0.35 {(sys.)})$ MeV/$c^2$. The upper limit onthe relative mass difference between positive and negative $\tau$ leptons is$|M_{\tau^+}-M_{\tau^-}|/M_{\tau} < 2.8 \times 10^{-4}$ at 90% confidencelevel.Comment: 9 pages, 3 figures. Submitted to Phys. Rev. Let

physical review letters

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Measurement of theτLepton Mass and an Upper Limit on the Mass Difference betweenτ+andτ−